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1 Voltage Control of Magnetism A Dissertation Presented by Ziyao Zhou to The Department of Electrical and Computer Engineering in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Electrical Engineering Reviewer 1:Professor Nianxiang Sun Reviewer 2:Professor Philip Serafim Reviewer 3:Professor Yongmin Liu Northeastern University Boston, Massachusetts April 2014

Voltage control of magnetism - Northeastern University...3 magnetic thin film, large ME coupling in NiCr/PbZr 0.52 Ti 0.48 O 3 (PZT) and NiCr/PbZn 1/3 Nb 2/3 O 2.4 (PbTiO 3) 0.6 (PZNPT)

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  • 1

    Voltage Control of Magnetism

    A Dissertation Presented

    by

    Ziyao Zhou

    to

    The Department of Electrical and Computer Engineering

    in partial fulfillment of the requirements

    for the degree of Doctor of Philosophy

    in Electrical Engineering

    Reviewer 1:Professor Nianxiang Sun

    Reviewer 2:Professor Philip Serafim

    Reviewer 3:Professor Yongmin Liu

    Northeastern University

    Boston, Massachusetts

    April 2014

  • 2

    Abstract

    In past decades, attracted by the increasing demand of compact, fast, and low

    energy consumption RF/microwave devices, many researchers have devoted their

    efforts to realizing electric field control of magnetism, instead of magnetic field. For

    instance, within traditional RF/microwave devices, ferromagnetic resonance are

    controlled by bulky, noisy, slow and energy consumption electromagnets. This limits

    its application in many important, low mass and energy consuming requirement

    carriers, such as aircraft, satellites, radars and communication devices. As a result,

    novel functional material, which can be integrated into non-volatile, light, and

    energy-efficient electronic devices, need to be discovered. Multiferroics, a composite

    material combined with ferromagnetic material and ferroelectric material, is widely

    studied as a great candidate for E-field tunable RF/microwave applications like

    tunable resonators, phase shifters, tunable inductors and tunable filters. The

    coexistence of ferroelectricity and ferromagnetism in multiferroics introduces

    interaction between ferroelectric property and ferromagnetic properties, therefore,

    allowing electric field (E-field) control of ferromagnetism through varying

    mechanism. In our work, different mechanism-based magnetoelectric (ME) coupling

    in multiferroics heterostructure was investigated for the development of novel

    generation, voltage-controllable, high-speed, compact RF/microwave devices with

    greater energy efficiency.

    Firstly, ME coupling was realized in different magnetic thin film/ferroelectric slab

    heterostructures. By decreasing the saturation magnetization of Cr doping Ni

  • 3

    magnetic thin film, large ME coupling in NiCr/PbZr0.52Ti0.48O3 (PZT) and

    NiCr/PbZn1/3Nb2/3O2.4(PbTiO3)0.6 (PZNPT) was obtained. Furthermore, non-volatile

    voltage impulse tunability was discovered through electric field-induced phase

    transition in FeGaB/PZNPT multiferroics heterostructure. Giant ME coupling

    coefficient ~3000 Oe cm/kV was observed at PZNPT phase transition points. In

    FeGaB/Pb0.8Sn0.2Zr0.52Ti0.48O3 (PSZT) magnetic/antiferroelectric multiferroic

    heterostructure, antiferroelectric-ferroelectric phase transition in PSZT substrate gives

    us another opportunity to realize the voltage impulse tunable magnetic properties. The

    non-volatile tunability with large ME coupling effect offers a great opportunity of

    E-field control of magnetism in real RF/microwave applications.

    Secondly, traditional deposition methods like sputtering, Pulsed laser deposition

    (PLD), or Molecular beam epitaxy (MBE) require a high fabrication temperature

    (>600 oC), which limits their application in integrated circuits. We used low

    temperature(

  • 4

    other mechanisms-induced ME coupling were also studied in our experiment. Large

    interfacial charge mediated ME coupling effective field of 40 Oe was achieved in

    Co0.3Fe0.7/Ba0.6Sr0.4TiO3 multiferroic heterostructure. The charge effect amplitude

    dependence of magnetic film thickness was systematically investigated in

    NiFe/SrTiO3 multiferroic heterostructure. Lastly, the ME coupling in CoFe/BiFeO3

    (BFO) heterostructure induced by interfacial exchange coupling between CoFe

    moment and canted moment in BFO was studied quantitively by FMR measurements.

  • 5

    Acknowledgements

    I would like to extend my greatest gratitude to my advisor Professor Nian X. Sun

    for his guidance, encouragement and total commitment throughout my graduate career,

    and also for the level of trust he demonstrated towards me. I would also like to thank

    my dissertation committee, Professor Philip E. Serafim and Professor Yongmin Liu

    for their suggestions and support.

    Additional thanks are owed to all of my colleagues: Dr. Ming Liu, Dr. Yunume

    Obi, Dr. Jing Lou, Dr. Xing Xing, Dr. Xi Yang, Dr. Ming Li, Dr. Shawn Beguhn, Dr.

    Dazhi Sun, Dr. Zhongqiang Hu, Dr. Satoru Emori, Scott Rand, Yuan Gao, Tianxiang

    Nan, Xinjun Wang for their help, time and wonderful discussions.

    I am also extremely to Professor Ramamoorthy Ramesh from UC Berkeley and

    his students Dr. Morgan Trassin, Gao Ya, Deyang Chen for their contributions. Also,

    thanks to Prof. Carmine Victtoria, Prof. Vincent Harris, Dr. Yajie Chen, Dr. Bolin Hu,

    Dr. Gail Brown, Dr. Brandon Howe, Dr. J. H. Jones and Dr. Krishnamurthy

    Mahalingam from Air Force Research Lab and S. R. Bowden, D. T. Pierce and John

    Unguris, from National Isititution of Standard and Technology, for their help with our

    sample fabrications and measurements.

  • 6

    Table of contents Abstract ......................................................................................................................... 2

    Acknowledgements ...................................................................................................... 5

    Chapter 1 Introduction of voltage control of magnetism in multiferroics

    heterostructure ........................................................................................................... 11

    1.1 Multiferroics and mangetoelectric materials ............................................. 11

    1.2 Strain/Stress mediated ME coupling ........................................................... 13

    Chapter 2 Magnetic/Ferroelectric multiferroics for tunable microwave

    applications ................................................................................................................. 26

    2.2 Non volatile tunable FeGaB/PSZT magnetic/antiferroelectric

    heterostructures .................................................................................................. 36

    2.2.1 FeGaB/PSZT multiferroic heterostructure fabrication .................. 36

    2.2.2 Non-volatile control of magnetism in FeGaB/PSZT multiferroic

    heterostructure ............................................................................................. 40

    2.3 Non volatile tunable FeGaB/PZNPT magnetic/ferroelectric

    heterostructures with giant tunability ............................................................... 44

    2.3.1 FeGaB/PZNPT multiferroic heterostructure characteration ......... 44

    2.3.2 RF/microwave tunability of FeGaB/PZNPT heterostructure ......... 48

    2.3.3 Non-volatile switch of magnetism in FeGaB/PZNPT

    heterostructure ............................................................................................. 53

    Chapter 3 Low temperature fabricated multiferroics heterostructure ................ 58

    3.1.1 ZnO and Al-doped ZnO thin film fabrication .................................. 60

    3.1.2 ZnO and Al-doped ZnO thin film characterization ......................... 68

    Chapter 4 Interfacial mediated magnetoelectric coupling in heterostructure

    multiferroics ............................................................................................................... 89

    4.1 Charge mediated ME coupling in NiFe/STO multiferroic heterostructure89

    4.1.1 Thickness dependence of NiFe magnetic layer on STO layer ......... 90

    4.1.2 ME coupling strength study on different NiFe/STO

    heterostructures ........................................................................................... 93

    4.1.3 Explaination of thickness dependence of ME coupling strength .... 98

    4.3 Interfacial exchange coupling in CoFe/BiFeO3 multiferroic

    heterostructure .................................................................................................. 102

    4.2.1 CoFe/BFO multiferroic heterostructure fabrication and domain

    pattern images ............................................................................................ 103

    4.2.2 Eletric field induced ME coupling in CoFe/BFO ........................... 106

    4.3.3 Modeling of canted moment in BFO switched by E-field ............. 109

    Chapter 5 Conclusion and future work ................................................................. 118

    5.1 Summary ...................................................................................................... 118

    5.2 Further Research ........................................................................................ 120

    References ................................................................................................................. 121

  • 7

    List of Figures

    Figure 1.1 The relationship between multiferroic and magnetoelectric materials.......14

    Figure 1.2 Normalized Kerr rotation hysteresis curves (M-H) loops...........................16

    Figure 1.3 M-H loops and FMR spectra of FeCoB/PMN-PT (011).............................18

    Figure 1.4. Schematics of domain structures and reciprocal space maps (RSMs) about

    (022) and (002) reflections of PMN-PT(011) under various applied electric fields....19

    Figure 1.5 Electric-field-induced switching in CoFeB/MgO/CoFeB junction............24

    Figure 1.6 Macro-spin model simulation of coherent magnetization switching under

    various pulse duration conditions.................................................................................25

    Figure 1.7 M-H loops and domain pattern of CoFe/BFO heterostructure...................26

    Figure 1.8 Magnetoresistance measurements of CoFe/BFO under varied E-field.......27

    Figure 2.1 M-H loops of NiCr thin film with different content...................................30

    Figure 2.2 FMR spectra of NiCr thin film with different content................................31

    Figure 2.3 FMR fields dependence of E-fields in NiCr/PZT.......................................33

    Figure 2.4 FMR fields dependence of E-fields in NiCr/PZNPT..................................34

    Figure 2.5 E-field dependence of NiCr Gilbert damping constant...............................36

    Figure 2.6 Properties of FeGaB film deposited on the top or on the side of

    Pb(Sn,Zr,Ti)O3 ceramics..............................................................................................40

    Figure 2.7 M-H loops and FMR spectra under varying E-field of FeGaB/PSZT

    multiferroics heterostructure........................................................................................42

    Figure 2.8 Magnetization and FMR field switches of FeGaB/PSZT by voltage

    impulses........................................................................................................................45

  • 8

    Figure 2.9 Characterization of amorphous FeGaB on (011) orientated PZN-PT

    substrate........................................................................................................................48

    Figure 2.10 E-field tuning FMR properties of FeGaB/PZNPT....................................50

    Figure 2.11 E-field induced FMR frequency shift under various magnetic fields.......52

    Figure 2.12. Theoretical simulation (solid line) and experiment results (symbol) of

    electric-field-induced FMR change..............................................................................55

    Figure 2.13 Hysteresis loops of E-field vs. FMR frequency........................................57

    Figure 2.14 E-field induced non-volatile switch in FeGaB/PZNPT............................58

    Figure 3.1 SEM images of the ZnO microstructures...................................................64

    Figure 3.2 Surface SEM images of the ZnO microstructures......................................66

    Figure 3.3 SEM images of the ZnO microstructures with varying precursor conc......68

    Figure 3.4 XRD patterns of the ZnO films...................................................................69

    Figure 3.5 Optical absorption wavelength spectrum of the ZnO films........................71

    Figure 3.6 XRD patterns of the Zn1-xAlxO thin films with varying Al concentration

    (for x=0.02, x=0.06).....................................................................................................73

    Figure 3.7 Typical XPS data of O1s in Zn1-xAlxO thin films and its Gaussian-resolved

    component for x=0.06 Al concentration and x=0.02 Al concentration........................73

    Figure 3.8 Plot of resistivity, hall mobility and carrier concentration as a function of

    Al concentration (for x=0.002 to 0.02) for the Zn1-xAlxO thin films...........................74

    Figure 3.9 Optical absorption spectra of ZnO with varying Al concentration.............76

    Figure 3.10 Linear analysis confirmation between band gap energy and carrier

    concentration................................................................................................................77

  • 9

    Figure 3. 11 (a) X-ray diffraction pattern of the spin-spray deposited Fe3O4/ZnO thin

    films multiferroics composite; (b) Energy Filtered TEM image showing the zinc oxide

    (red) and iron oxide (green) layers; (c) HRTEM image of the iron oxide/zinc oxide

    interface........................................................................................................................81

    Figure 3.12. (a) The measured X-ray diffraction image using high-energy X-rays in

    transmission geometry; (b) a 2 section from 2.1 to 6.2 over the azimuthal angle

    from 0 to 180.............................................................................................................83

    Figure 3.13. (a) Typical magnetic hysteresis loops of a spin-spray deposited

    Fe3O4/ZnO ferrite/piezoelectric multiferroics heterostructure on glass substrate; (b)

    In-plane magnetic hysteresis loops of the Fe3O4/ZnO multiferroics heterostructure

    under different external electric voltages measured by VSM. The enlarged ME

    coupling hysteresis loop shift is shown on upper left coordinate system; (c)

    Out-of-plane magnetic hysteresis loops of the Fe3O4/ZnO multiferroics

    heterostructure under different external electric voltages............................................84

    Figure 3.14 (a) Piezoelectric coefficient measurements of ZnO thin film by Bending

    Cantilever Beam Method; (b) Electric field dependence of the in-plane field-sweep

    FMR spectra of the Fe3O4/ZnO multiferroics heterostructure measured at 9.3 GHz.

    The zero cross part was enlarged to demonstrate a clear ME coupling shift at bottom

    right inset; (c) X-band in-plane ferromagnetic resonance (FMR) field of the

    Fe3O4/ZnO multiferroics heterostructure measured at varying applied voltages across

    the ZnO layer................................................................................................................88

    Figure 4.1 (a) X-ray diffraction pattern of the RF sputtered STO/Pt multilayer on Si

  • 10

    substrate; (b) Polarization vs. Electric field of STO thin film; (c) AFM image of STO

    surface with calibrated roughness of 0.88 nm..............................................................94

    Figure. 4.2 Schematic of the sample used for a voltage-induced FMR field change in

    Cu/NiFe/STO/Pt/Si.......................................................................................................95

    Figure 4.3 (a) FMR field and calculated perpendicular energy dependence of NiFe

    thickness; (b) FMR field shift dependence of applied voltage at varying thickness of

    NiFe thin film on STO layer. (c) FMR effective field shift vs inverse of thickness

    under varying voltage gaps...........................................................................................99

    Figure 4.4 (a) E-field induced magnetic surface anisotropy δKS change and

    normalized magnetic surface anisotropy per effective surface area δKS/Seffect

    dependence of applied voltage bias; (b) Schematic of NiFe thin film deposition

    dynamics surface at varying thickness.......................................................................100

    Figure 4.5 (a) A schematic of the CoFe/BFO patterned multiferroic heterostructure.

    The E-field was applied perpendicular to the CoFe disk. (b) The ferroelectric domain

    structure imaged using the BSE intensity. (c) The simultaneously acquired SEMPA

    image of the magnetic structure. The magnetization direction, θxy, is represented by

    color as indicated by the color wheel. (d) An enlarged view of the magnetization in (c)

    with arrows added to show the measured magnetization directions and the relationship

    to the DSO substrate...................................................................................................105

    Figure 4.6 FMR fields measurements of CoFe/BFO multiferroic heterostructure....107

    Figure 4.7 Modeling and FMR spectra of CoFe/BFO multiferroic heterostructure...110

  • 11

    Chapter 1 Introduction of Voltage Vontrol of Magnetism in

    Multiferroics Heterostructure

    Voltage control of magnetism is an extremely important technology in magnetic

    mediated data storage, sensors and spintronics device. Traditional RF/microwave

    devices were tuned through a current generated magnetic field. This tuning

    mechanism is noisy, bulky, slow, and energy inefficient, which limits its application in

    real devices.

    Multiferroics, a combination of ferromagnetism and ferroelectricity properties,

    which are coupling to each other, have created a lot of novel physical phenomena. The

    coexistence of magnetization and polarization in multiferroics allows the electric field

    control of magnetism or magnetic field control of polarization. This new mechanism

    could lead to a new generation of memory devices, with four-state logic in a single

    device, high frequency microwave and spintronics devices due to E-field controllable

    of magnetism in these materials [1, 2, 3, 4, 5, 6]. In the first chapter, we will introduce

    the basic principle of E-field control of magnetism in multiferroics, including

    previous works in multiferroic heterostructures and the correlated potential

    applications are also discussed.

    1.1 Multiferroics and mangetoelectric materials

    In the past decades, multiferroics have attracted many interests due to its significant

    improvement to data storage, sensors and spintronics[7, 8, 9] devices. In the definition

    of multiferroics, ferroelectricity is a spontaneous electric polarization in certain

  • 12

    material that can be controlled by applying an external electric field; Ferromagnetism

    is a spontaneous magnetic polarization in a material that can be controlled by

    applying an external magnetic field. Fig 1.1 shows the relationship between

    multiferroic and magnetoelectric materials [2]. The red area shows multiferroic

    material, consisting with ferroelectric and ferromagnetic properties. The

    cross-coupling, so called magnetoelectric (ME) coupling, between these two

    properties is very attractive to researchers. Through ME coupling, dielectric

    polarization variation can respond to an applied magnetic field, or magnetization can

    be manipulated by an external electric field. Generally, several ME coupling

    mechanism, such as strain/stress, interfacial charge, exchange coupling, can exist in

    multiferroics material which contains magnetic and electrical phases.

    Compared to single phase multiferroics, multiferroic composites, consisting of

    separate ferroic phases with various connection schemes, usually display large

    magnetoelectric coupling through magnetostrictive and piezoelectric effects.

    Figure 1.1 The relationship between multiferroic and magnetoelectric materials - The

    relationship between multiferroic and magnetoelectric materials

  • 13

    1.2 Strain/Stress mediated ME coupling

    Strain mediated magnetoelectric (ME) coupling in layered

    ferromagnetic/ferroelectric heterostructures provides great opportunities in realizing

    novel multiferroic devices, such as magnetoelectric random access memories

    (MERAMs). Hu and coworkers [10] simulated the phase field and then demonstrated

    a novel approach to voltage-controlled magnetic random access memory (MRAM).

    They used the strain-mediated magnetoelectric coupling to control the direction of

    magnetization in magnetic tunneling junction (MTJ) on a ferroelectric layer

    heterostructure. A 90o rotation of the in-plane magnetization of the free layer can be

    manipulated by strain mediated ME in the MTJ. This model of these voltage

    controlled MRAM devices shows the ultra-low writing energy (less than 0.16 fJ per

    bit), room temperature operation, high storage density, good thermal stability and fast

    writing speed. Also, the voltage control of other magnetic properties:

    magnetoresistence, exchange bias and magnetic domain wall propagation were also

    studied experimentally by researches.

    The modification of the magnetism by ferromagnetic phase shows a typical

    “butterfly” like behavior as function of bipolar E-field in strain induced ME coupling.

    This “butterfly” curve is due to the piezoelectricity of ferroelectric phase from

    ferroelectric domain wall switching. However, the piezostrain at zero E-field is zero

    resulting in volatile magnetization state. This will limit information storage or

    MERAM devices, in which the magnetic state should be further controlled by voltage

    impulses.

  • 14

    Researchers demonstrated the non-volatile switching of magnetism in

    ferromagnetic materials on different ferroelectric slab, such as (001) and (011)

    oriented PMN-PT single crystal, (011) oriented PZN-PT single crystal and PZT

    ceramic slab, experimentally. Wu et al. [11] realized a revisable and permanent

    magnetic anisotropy reorientation in a muliferroic Ni/(011) oriented PMN-PT

    heterostructure. They achieved a 300 Oe anisotropy field change in that system. The

    change is non-volatile and is able to switch back and forth by E-field below coercive

    field.

    Figure 1.2 Normalized Kerr rotation hysteresis curves (M-H) along they y direction

    under different electric fields (letters are the representatives of the labeled strain states

    in the inset). The inset shows in-plane strain difference (εy−εx) as a function of

    electric field. The drawings indicate the magnetization state: (c) permanent easy plane,

    [(a) and (b)] temporary easy axis along x¯, and [(d) and (e)] permanent easy axis

    along x¯.

    As shown in Figure 1.2, the Kerr rotation hysteresis loop of Ni/PMN-PT in

    application of different E-field leading to different piezo-strain state. The inset of

    Figure 1.2 shows the relative strain difference as a function of E-field. By driving the

    electric field from A to C (A-B-C), which represents the linear piezoelectric effect in

    the linear ferroelectric regime. From the M-H hysteresis loop, the remnant

    magnetization increases linearly in this area. However, in the linear regime, the

  • 15

    magnetic anisotropy change is volatile and the magnetic state would go back to its

    initial state after removing the E-field. When decreasing the E-field from 0 to coercive

    field (D), the non-180° polarization reorientation dominates in PMN-PT and

    introduces a sudden increase of strain into system. The large change of the magnetic

    anisotropy was observed. When removing the E-field (E), the strain remains and the

    magnetization is retained. As they increased the electric field from 0 to coercive field

    (B), another non-180°polarization reorientation occurs back to the initial poling

    direction. Thus the remnant strain is released, the magnetic state is switched back,

    which confirmed the non-volatile switching. However, the mechanism behind that

    using non-180° ferroelectric domain wall reorientation is unclear.

    Most recently, Ming et al. [12] showed an unique ferroelastic switching pathway in

    (011) oriented PMN-PT (0.71Pb(Mg1/3Nb2/3)O3-0.29PbTiO3) single crystal, which

    allows up to 90% of polarization to rotate from an out-of-plane to a purely in-plane

    direction (71o and 109

    o polarization switching). They then produced two distinct,

    stable and electrically reversible lattice strain states through this methos. Domain

    distortion, polarization switching pathway and lattice strain responsing to in situ

    perpendicular voltage in PMN-PT (011) are clearly presented using reciprocal space

    mapping (RSM) and piezoforce microscopy (PFM) technology.

  • 16

    Figure 1.3 (a) In-plane magnetic hysteresis loops of FeCoB/PMN-PT (011). Insets

    are schematic (upper left) and FMR spectra (bottom right). (b) Schematic of FMR

    measurement for (c-f). The sample is laid face down on an S-shape co-planar

    waveguide. Magnetic fields are applied in the [100] direction and electric fields are

    applied along the [011] direction. (c) Electric field dependence of the FMR frequency

    in field sweeping mode. (d) Electric field dependence of the FMR field in frequency

    sweeping mode. (e) FMR frequency responses under unipolar (red) and bipolar (blue)

    sweeping of electric fields at room temperature. (f) Voltage-impulse-induced

    non-volatile switching of FMR frequency.

    See Figure 1.3, the multilayer films of Au(5 nm)/Fe60Co20B20(50 nm)/Ti(5 nm)

    were deposited on (011) oriented single crystalline PMN-PT substrates and the

    multiferroic heterostructure was characterized by E-field dependence of ferromagnetic

    resonance field using coplanar-waveguide (CPW) FMR test system. Figure 1.3(e)

    shows the resonance frequency dependence of E-fields. A "Butter-fly" curve (blue) is

    observed as cycling triangle E-fields. With a positive E-field on a negatively poled

    FeCoB/PMN-PT (011), a giant frequency jump happens near the coercive field around

    1.5 kV cm-1

    . When the polarization undergoes 71°and 109°ferroelastic switching

    from the out-of-plane to the in-plane direction related to a lattice strain induced by the

    domain distortion. Therefore, the hysteresis loop of the FMR frequency as a function

    of the E-field is observed, Figure 1.3 (e). Like magnetic memory, two stable and

  • 17

    reversible frequency remnant states A and B would facilitate the realization of

    non-volatile frequency switching by reversing the E-field at the coercive field. The

    voltage impulse induced magnetization switching was also realized shown in Figure

    1.3 (f). As a PMN-PT (011) is subjected to an impulse of -6 kV cm-1

    , the remnant

    strain state A is retained and resulting in the largest FMR frequency of 9.9 GHz. Upon

    applying an impulse field of 1.5 kV cm-1

    , the resonance frequency is reduced to 7.6

    GHz, indicating that the strain state is switched to B.

    Figure 1.4 Schematics of domain structures and reciprocal space maps (RSMs) about

    (022) and (002) reflections of PMN-PT (011) under various applied electric fields and

    thus poling states. The first column (a,e,i) is for the unpoled state. The second column

    (b,f,j) is for the positive poling state with up to 90% of polarization pointing upward.

    The third column (c,g,k) is after applying an negative electric field of -1.5 kV cm-1

    and then switching it off. The fourth column (d,h,l) is achieved by applying a positive

    electric field of 5 kV cm-1

    and then switching it off.

    Futher, high resolution x-ray diffraction (HRXRD) measurements were used to

    understand the polarization switching pathway and lattice strain in response to

    E-fields. Figure 1.4 shows the E-field response to the reciprocal space maps (RSMs)

    in the vicinity of the (022) and (002) reflections of the bare PMN-PT (011) substrates.

    For the unpoled state of PMN-PT (011) (the first column in Figure1.4), a single broad

  • 18

    spot is observed in both (022) and (002) reflections Figure 1.4(e) and (i). The analysis

    of RSM patterns indicates that two possible domain structures r3 and r4 are dominant

    in the unpoled state, and most of the polarization are in the plane. As the sample is

    vertically poled with a strong positive voltage, the RSM in Figure 1.4(f) demonstrates

    an addition high intensity (022) reflection spot with a lower Q022 value, corresponding

    to the r1/r2 domain structures. At mean time, the intensity of the spot corresponding to

    r3/r4 reduces dramatically. This represents that 71 ° and 109 ° ferroelastic

    polarization switches from the in-plane direction to the out-of-plane direction

    dominates and results in a large out-of-plane lattice strain. After applied a negative

    E-field of -1.5 kV cm-1

    is applied and removed, the domain distortion returns to r3/r4

    and polarization is suppressed from the out-plane direction to the in-plane direction

    Figure 1.4(g). As a large positive E-field of 5 kV cm-1

    is applied and then switched off,

    the domain structure is switched again and back to r1/r2, Figure 1.4(h). Thus, a stable

    and reversible ferroelastic domain switching pathway is confirmed in their experiment,

    which enables polarization rotation between the in-plane direction and the

    out-of-plane direction.

    1.3 Interfacial charge E-field tuning of magnetism in multiferroic

    heterostructures

    The strain/stress induced ME coupling suffered from substrate clamping effect,

    which reduces its ME coupling strength, nevertheless, the charge mediated

    magnetoelectric effect was first reported by Weisheit et al, does not limited by

    substrate, especially in ultrathin magnetic layer. The magnetocrystalline anisotropy of

  • 19

    ultra-thin iron-platinum and iron-palladium magnetic layer can be reversibly

    controlled by E-field in an electrolyte in previous experiment, showing that the

    screening charge provided by liquid electrolyte modified the intrinsic magnetic

    properties. The one example of voltage control of magnetism offers an opportunity for

    E-field induced magnetoresistance change in magnetic tunnel junctions (MTJ), the

    core portion of MRAM devices. Maruyama et al. [13] also reported the change of

    magnetic anisotropy in a Fe(001)/MgO(001) junction. With an E-field to dielectric

    MgO layer, the surface magnetic anisotropies in 3d ferromagnetic metal/noble metal

    interfaces were changed by the electron filling of 3d orbitals. From this mechanism,

    they discovered a 40% change in the magnetic anisotropy by comparably small

    E-field which could lead to varies application in low power spintronic devices.

    In previous research, people also found the charge mediated ME coupling strength

    is highly related to magnetic film thickness. For instance, ME coupling strength of

    Fe/MgO heterostructure measured by Kerr hysteresis looper was significantly

    dependent on Fe film thickness, at which, the maximum magnetic surface anisotropy

    change was obtained at spin reorientation point. In Co20Fe80/MgO heterostructure,

    magnetic surface anisotropy change decreased rapidly as Co20Fe80 film thicknesses

    were larger than 0.5nm. Nevertheless, the mechanism causes charge mediated ME

    coupling strength dependence on magnetic film thickness is still not certain. To

    optimize the charge mediated ME coupling tunability in real applications, recently,

    Zhou and Nan et al. [14] studied the voltage dependent ferromagnetic resonance

    (FMR) in Ni0.81Fe0.19 (NiFe)/SrTiO3 (STO) magnetic/dielectric thin film

  • 20

    heterostructures to quantitatively determine the thickness dependence of charge

    mediated magnetoelectric coupling. Voltage induced FMR field change was carried

    out through charge effect induced magnetic surface anisotropy change. Large voltage

    induced FMR field shift of 65 Oe and magnetic surface anisotropy change of 5.6

    kJ/m3 were obtained in NiFe/STO heterostructures. The voltage induced magnetic

    surface anisotropy showed a strong dependence on the thickness of the magnetic thin

    films, which was discussed based on the thin film growth model at the low thickness

    side, and on the charge screening effect at large thickness side. The

    thickness-dependent surface charge-mediated ME coupling has been studied in

    bi-layered NiFe/STO thin film heterostructures with varied thicknesses of the NiFe

    layer from 0.7 to 1.5 nm. High ME coupling induced FMR field shift of 65 Oe was

    obtained and measured by ESR system, corresponding to large voltage tunable

    effective magnetic anisotropy of 5.6 kJ/m3 and surface anisotropy of 6.7 μJ/m

    2. This

    investigation established a significant progress for magnetic/dielectric

    heterostructure’s application in novel interfacial charge mediated magnetoelectric

    devices. The detail discussion will be shown in Chapter 4.

    For the real application by charge effect in magnetic tunnel junction, Wang et al.

    [15] have demonstrated an electric-field-assisted switching in MgO based MTJ.

    Compared with a traditional MTJ, a relatively thick ferromagnetic layer larger than 4

    nm is used with in-plan or perpendicular magnetic anisotropy. But for enabling a

    screening charge induced magnetoelectric effect, a ultra-thin ferromagnetic layer with

    well defined metal/oxide interface is needed in the MTJ. In that work, the MTJ

  • 21

    showed a TMR ratio of 118% with a core structure of

    CoFeB(1.3nm)/MgO(1.4nm)/CoFeB(1.6nm), see Figure 1.5. They demonstrated that

    the voltage controlled magnetocrystalline anisotropy can be used to switch the

    magnetization of CoFeB from perpendicular to in-plane direction. The electric field is

    used to reduce the HC of ferromagnets in MTJ and therefore the current that used to

    switch the magnetization is two orders of magnitude less than the conventional one.

    Figure 1.5 Electric-field-induced unipolar switching. (a) Normalized minorloops of

    the TMR curve at different Vbias values. Inset: The full TMR curve at near-zero Vbias

    where both ferromagnetic layers are switched by magnetic field. This MTJ has the

    structure of CoFeB(1.3 nm)/MgO(1.2 nm)/CoFeB(1.6 nm). (b) Unipolar switching of

    the MTJ by a series of negative pulses schematically shown in purple at the bottom)

    with alternating amplitudes of -0.9 V and -1.5 V. The corresponding electric fields are

    -0.75 V/nm and -1.25 V/nm, respectively. A constant biasing magnetic field of 55 Oe

    in favour of the antiparallel state at -0.9 V was applied. (c) chematic diagram of the

  • 22

    hysteresis loops of the top CoFeB layer showing the unipolar switching process:

    magnetization-down - up switching at V = V1 (red) through STT with greatly reduced

    energy barrier; magnetization-up ! down switching at V = V2 (black) by another

    negative electric field, where│V2 >│V1│. The loop for V = 0 is shown in blue.

    The vertical dotted line represents the position of the constant Hbias. The moment of

    the bottom CoFeB is fixed pointing down.

    Shoita et al. [16] also reported a coherent magnetization switching in a few atomic

    layers of FeCo using voltage pulses, see Figure 1.6. They showed coherent

    magnetization switching in ultra-thin MTJ by short voltage pulses of certain time

    duration. FeCo layer was tilted from its initial in-plane magnetization to nearly

    perpendicular orientation by bias magnetic field. The perpendicular anisotropy was

    enhanced by E-field pulses produced a corresponding rotation of the magnetization

    around the bias field. By applying the short-time E-field pulses, the magnetization

    could be stopped at its original or the 90ᵒ with respect to this direction.

    Figure 1.6 Macro-spin model simulation of coherent magnetization switching under

    various pulse duration conditions. (a) Shape of the applied voltage pulse used in the

    simulation. Pulse durations, pulse, are full-widths at half-maximum with rise and fall

    times of 70 ps. (b) Examples of calculated trajectories induced by voltage pulse

    application. Initial state (I.S.) and final state (F.S.) represent the magnetization state

    before and after pulse voltage application.

    1.4 Voltage control of magnetism in magnetic/BiFeO3 heterostructure

    The room temperature single phase multiferroic, BiFeO3 (BFO), has attracted a lot

    of recent research interest due to the coexistence of robust ferroelectricity (P) and

  • 23

    antiferromagnetism (L), and a weak canted magnetic moment (MC). In bulk BFO, the

    weak moment results from the canting of the magnetic sublattices due to the

    Dzyaloshinskii - Moriya (DM) interaction [17] as predicted by density functional

    theory and confirmed experimentally [18]. E-field control of magnetism, like

    magnetoresistance [19], magnetic anisotropy and magnetization, in a ferromagnetic

    layer exchange coupled to BFO layer has been most recently reported. Heron et al.

    [19] discovered a nonvolatile, room temperature magnetization reversal determined

    by an electric field in a CoFe/BFO multiferroic heterostructure. Figure 1.7 revealed

    that there is an one-to-one corelation between stripe-like ferromagnetic domain in

    CoFe and ferroelectric domain in BFO, resulting in an uniaxial magnetic anisotropy

    of CoFe, Figure 1.7(a). After applied a voltage across BFO layer, a magnetization

    reversal was confirmed by anisotropic magnetoresistance (AMR) measurements. This

    experiement give the evidence of the coupling between CoFe magnetic moment and

    canted moment in BFO, see Figure 1.8. More detail research regarding to how the

    canted moment switching with electric field was discussed in section 4.

  • 24

    Figure 1.7 (color online). (a) In-plane M-H curves measured every 45� at room

    temperature from CoFe/BFO heterostructures. The CoFe growth field was applied

    along (black open circles) or perpendicular [gray (red) open circles] to the net inplane

    polarization direction (Pnet IP). (b) In-plane PFM image of BFO. (c) XMCD-PEEM

    image of the CoFe=BFO heterostructure. The gray (blue) and black arrows in (b) and

    (c) correspond to the in-plane projections of the polarizations in each of the

    ferroelectric domains of BFO and to the magnetic moments in the CoFe layer,

    respectively.

  • 25

    Figure 1.8 (color online). (a) Open black circles show the high field (2000 Oe) AMR

    response (top panel). The low-field (20 Oe) AMR response for the as-grown state is

    plotted with the open red circles (second panel from top). The open blue circles show

    the low-field AMR after pulsing an electric field of 130 kV cm-1

    in zero magnetic

    field (second panel from bottom). Application of a -130 kV cm-1

    electric-field pulse

    results in the recovery of the phase of the as-grown low-field AMR response (open

    green circles, bottom panel). (b),(c) Representations of the one-to-one magnetic

    interface coupling in the CoFe/BFO heterostructure in the (b) as-grown state and (c)

    after the first electric pulse.

  • 26

    Chapter 2 Magnetic/Ferroelectric Multiferroics for Tunable

    Microwave Applications

    2.1 Low moment approach of ME coupling in NiCr/ferroelectric

    multiferroics heterostructure

    2.1.1 NiCr/PZT and NiCr/PZNPT multiferroic heterostructure fabrication

    Layered magnetic/piezoelectric multiferroic heterostructures such as

    FeGaB/PZN-PT, [20] Fe3O4/PZN-PT, [21] with a magnetic thin film on piezoelectric

    slab provides a great opportunity to achieve strong ME coupling. The E-field induced

    effective magnetic field of magnetic film on a ferroelectric slab can be described by

    the formula of: SeffSeff MYEdH /3 , [20] in which, λs is the magnetostriction, Y

    represents Young's modulus, Ms is the saturation magnetization of the magnetic thin

    film, deff and E are the effective piezoelectric coefficient and applied E-field on the

    ferroelectric slab, respectively, and v is Poisson ratio of the NiCr film. Increasing the

    magnetostriction and/or reducing the saturation magnetization would be two

    approaches to achieve strong E-field induced magnetic field Heff. Lou et al reported

    new RF FeGaB films with a large magnetostriction coefficient of 70 ppm, a giant

    piezomagnetic coefficient of 7 ppm/Oe, and a saturation magnetization of 1.4 Tesla,14

    and demonstrated a large electric field induced magnetic field of 750 Oe in

    FeGaB/PZN-PT (lead zinc niobate lead titanate) heterostructures [20].

    The NiCr alloy system has low saturation magnetization and relatively high

    magnetostriction, which can be a good candidate for low moment multiferroic

  • 27

    heterostructures. In this paper, we investigated NiCr alloy thin films with different Cr

    contents, which showed a low magnetization of 1100~1910 Gauss and a relatively

    high magnetostriction of -5.1 ~ -7.8 ppm. The low magnetization and high

    magnetostriction in NiCr alloy films lead to a high ME coupling coefficient of 13

    Oe·cm/kV (NiCr/PZT) and 75.6 Oe·cm/kV (NiCr/PZN-PT)), compared with

    FeGaB/Si/PZT (2 Oe·cm/kV), [22] FeGaB/PZN-PT (86 Oe·cm/kV), [20]

    Fe3O4/PZNPT (108 Oe·cm/kV), [23] Zn0.1Fe2.9O4/PZN-PT (23 Oe·cm/kV). [24]

    The frequency tunability is 39 MHz·cm/kV (NiCr/PZT) and 250 MHz·cm/kV

    (NiCr/PZN-PT). Hence, these the NiCr/PZT and NiCr/PZN-PT heterostructures with

    strong magnetoelectric coupling have great technological potential.NiCr alloy

    magnetic thin films were deposited by the DC magnetron co-sputtering with Ni and

    Cr targets at room temperature on Si substrates with different Ni/Cr ratios. All films

    were deposited for 600 seconds, leading to a film thickness of ~50 nm. NiCr

    compositions were measured by X-ray fluorescence (XRF) system. The static NiCr

    hysteresis loops with different components were measured by vibrating sample

    magnetometer (VSM). Microwave ME interaction was investigated by a broadband

    ferromagnetic resonance spectrometer. Static electric field was applied across the

    NiCr/PZT and NiCr/PZN-PT samples thickness direction for achieving electric field

    tuning of the magnetic properties.

    2.1.2 Magnetic Properties of NiCr thin films

    Figure 2.1 (a) shows the out-of-plane hysteresis loops of Ni1-xCrx with different Cr

    contents x. We can observe a clear trend that the saturation magnetization gradually

  • 28

    decreases as Cr content increases. At x=0.046, 0.05, 0.054, 0.059, 0.061 the

    out-of-plane hysteresis loops exhibit characters of a ferromagnetic material with a

    non-zero remnant magnetization with a saturation magnetization of 1910 Gauss, 1550

    Gauss, and 1100 Gauss, 1030 Gauss, 820 Gauss, respectively. As the x increased to

    0.064 or higher, the NiCr magnetic thin film starts to show signs of being

    superparamagnetic at room temperature with zero remnant magnetization and zero

    coercivity.

    Figure 2.1 (a) Out-plane Hysteresis loop of Ni1-xCrx alloy thin film on Si substrate

    with different Cr content x on left hand side. (b) In-plane hysteresis loop of Ni1-xCrx

    alloy thin film on Si substrate with different Cr content x on right hand side. Both

    M(H) loops are measured at room temperature.

    Figure 2.1 (b) shows the in-plane hysteresis loops of Ni1-xCrx thin films with

    different Cr contents x. The hysteresis loops of x=0.046, 0.05, 0.054 exhibits typical

    out-of-plane magnetization, implying that there may exist an magnetoelastic

    anisotropy (E = (3/2)ζλ) associated with a tensile stress and a negative

    magnetostriction of the NiCr film. Figure 2.2 shows the magnetic field sweep FMR

    spectra of the NiCr alloy films measured at 11.3 GHz with field sweep range from

  • 29

    500 Oe to 3000 Oe. We can only obtain clear a FMR signal of Ni1-xCrx thin films

    with x=0.054, 0.05, 0.046 but we could not see the FMR spectrums in Ni1-xCrx

    alloys with x=0.59 and larger. We did not show their magnetic properties in table I.

    The resonance field was 2740 Oe at x=0.054, 2490 Oe at x=0.05 and 2250 Oe at

    x=0.046. The FMR linewidth was about 250 Oe for all three films. From the

    Landau–Lifshitz equation, [20] )4)(( sresaresares MHHHHf , where ɣ is

    gyromagnetic constant of 2.8 MHz/Oe, we can calculate Ha from measured 4πMS, fres

    and Hres.

    Figure 2.2. In-plane field-sweep ferromagnetic resonance spectra of Ni1-xCrx films

    with different Cr content x measured at 11.3 GHz

    Saturation magnetostriction values of thin films with varied Cr contents were

    estimated by the electric field induced effective magnetic field through FMR field

    shift. The FMR field shifts of the Ni1-xCrx/PZN-PT heterostructures are 260 Oe, 228

    Oe and 211 Oe, corresponding to Cr contents of x=0.054, 0.05, 0.046, respectively.

    By substituting parameter, d31 (-3000 pC/N), d32 (1100 pC/N), Young's Modulus of Ni

    thin film (93 GPa) into ME coupling formula: SeffSeff MYEdH /3 , where

    deff=(d31-d32)/(1+v), [20] the magnetostriction of Ni1-xCrx films can be calculated as

  • 30

    -5.1 ppm, -6.3 ppm and -7.2 ppm with a Cr content of x=0.046, 0.05, 0.054. The

    Ni1-xCrx thin film with a Cr content x=0.054 (All NiCr films listed below represent

    Ni0.946Cr0.054 films) and largest ME coupling coefficient, which was chosen for further

    investigation on both PZT (d31=-400 pC/N) and PZN-PT substrates.

    It is important to choose a high ratio of saturation magnetostriction over saturation

    magnetization (λs/Ms) based on the formula: SeffSeff MYEdH /3 , to achieve high

    magnetoelectric coupling coefficient. Ni0.946Cr0.054 film is a good choice for an

    investigation into ME couplingwhich shows a large λs/Ms ratio with a saturation

    magnetostriction of -5.1 ppm and saturation magnetization of 1100 Gauss. NiCr

    (Ni0.946Cr0.054) thin films were deposited on polished PZT substrates and (011) cut

    PZN-PT single crystal slabs. The dimensions of these substrate are 1 cm×0.2 cm×0.5

    mm (PZT) and 1 cm (100)×0.5 cm (01-1)×0.5mm (PZN-PT). The NiCr top layer had

    a thickness of 85 nm and the thickness of Cr electrode bottom layer was 100 nm. In

    this experiment, we applied a high voltage from 400 V to -600 V on the NiCr/PZT

    heterostructure, which corresponds to an electric field of 8 kV/cm to -12 kV/cm and

    also a high voltage from -100 V to 400 V on NiCr/PZN-PT multiferroic

    heterostructure with electric field tunable range of ~ -2 ~ 8 kV/cm.

  • 31

    Figure 2.3 (a) Electric field dependence of the in-plane magnetic field sweep FMR

    spectra of NiCr/PZT multiferroic heterostructures measured at 6.85 GHz. (b) Butterfly

    plot of anisotropy magnetic field as a function of applied electric field from -8 kV/cm

    to 12 kV/cm. (c) Electric field dependence of the in-plane frequency sweep FMR

    spectra of NiCr/PZT multiferroic heterostructure measured at 50 Oe. (d) Butterfly plot

    of resonance frequency as a function of applied electric field form -8 kV/cm to 12

    kV/cm.

    2.1.3 Electric field control of magnetism in NiCr/PZT and NiCr/PZNPT

    heterostructure

    The electric field controllable FMR behavior of the NiCr/PZT multiferroic

    heterostructures at a given resonance frequency of 6.85 GHz was measured on an

    FMR spectrometer, and is shown in Figure 2.3 (a)~(d). The field sweep FMR spectra

    in Figure 2.3(a) exhibited E-field controllable resonance magnetic field under

    different applied E-field from -12 kV/cm to 8 kV/cm. The external magnetic field is

    applied parallel to the long axis (1 cm) direction of the PZT substrate and the E-field

  • 32

    was applied along PZT thickness direction, from NiCr thin film top layer to Cr

    electrode bottom layer. There was a high resonance magnetic field shift from 1034 Oe

    to 1294 Oe, or an effective magnetic field of 260 Oe. Figure 3 (b) demonstrates the

    butterfly behavior of E-field control of effective anisotropy fields with E-field varied

    from -12 kV/cm to 12 kV/cm. By fixing the magnetic bias field at 50 Oe, the FMR

    measurement system can be also used to measure frequency sweep spectra for

    NiCr/PZT multiferroic structure as shown in Figure 2.3 (c). It is clear that a large

    FMR shift of 0.78 GHz (from 4.062 GHz to 3.282 GHz), or fmax/fmin= 1.24 was

    achieved by applying E-field varied from -12 kV/cm to 8 kV/cm. Figure 2.3 (d)

    represents the butterfly curve of resonance frequency and E-field (-12 kV/cm to 12

    kV/cm) of the NiCr/PZT heterostructure, which exhibits a linear dependence between

    tunable FMR frequency and the electric field when E is less than Ecritical.

  • 33

    Figure 2.4. (a) Electric field dependence of the in-plane magnetic field sweep FMR

    spectra of NiCr/PZN-PT multiferroic heterostructures measured at 6.85 GHz. (b)

    Butterfly plot of anisotropy magnetic field as a function of applied electric field form

    -2 kV/cm to 8 kV/cm. (c) Electric field dependence of the in-plane frequency sweep

    FMR spectra of NiCr/PZN-PT multiferroic heterostructure measured at 50 Oe. (d)

    Butterfly plot of resonance frequency as a function of applied electric field form -2

    kV/cm to 8 kV/cm.

    Figure 2.4 (a) shows the field-sweep FMR behavior of the NiCr/PZN-PT

    multiferroic heterostructure at a given resonance frequency of 6.85 GHz on the FMR

    system, similar to Figure 2.4(a) for the NiCr/PZT multiferroic heterostructure. The

    external magnetic field is applied parallel to the in-plane [011] direction of the

    PZN-PT single crystal and the E-field is applied along PZN-PT thickness direction,

    from the NiCr thin film top layer to the Cr electrode bottom layer. The resonance

  • 34

    magnetic field was shifted from 1171 Oe to 1927 Oe under different applied E-fields

    from -2 kV/cm to 8 kV/cm, corresponding to a giant magnetic resonance field shift of

    756 Oe and a large magnetoelectric coupling coefficient of dH/dE= 75.6 Oe cm/kV.

    Figure 2.4 (b) shows the butterfly behavior of E-field tunable anisotropy field, and

    Figure 2.4 (c) shows frequency sweep spectra for the NiCr/PZT multiferroic structure

    under an applied bias magnetic bias field of 50 Oe. A large resonance frequency shift

    from 1.271 GHz to 3.771 GHz was achieved by changing the E-field from -2 kV/cm

    to 8 kV/cm, corresponding to fmax/fmin =2.97, or 250 MHz cm/kV of tunable frequency

    range. Figure 2.4 (d) demonstrates the butterfly behavior curve of resonance

    frequency and E-field (-8 kV/cm to 8 kV/cm).

    Figure 2.5. (a) E-field dependence of NiCr Gilbert damping constant on PZT and

    PZN-PT substrates. (b) E-field dependence of NiCr ∆H0 on PZT and PZN-PT

    substrates.

    The Gilbert damping coefficients of the NiCr films in NiCr/PZT and NiCr/PZN-PT

    heterostructures were measured at different bias E fields, which were extracted by

    using the following equation α=0.5ɣ·(∆H-∆H0)/f0, where ɣ is the gyromagnetic

    constant ~2.8MHz/Oe, ∆H is the FMR linewidth, ∆H0 is the intercept of y-axis

  • 35

    linewidth and f0 is the FMR frequency. We measured 6~7 Oe NiCr FMR ∆H

    linewidths under different FMR frequencies, f0, at certain E-field and then

    calculated the linear equation, ∆H=2αf0/ɣ+∆H0, between ∆H and f0 by doing linear

    extrapolation. The α and ∆H0 at that E-field can be obtained through the slope and the

    y-axis intercept of the linear equation, correspondingly. Figure 2.5 (a) shows the

    Gilbert damping coefficients of NiCr thin films on PZT and PZN-PT substrates as a

    function of the E-field applied on piezoelectric substrates. The Gilbert damping

    coefficients increase monotonically from 0.0072 at -12 kV/cm to 0.0078 at 8 kV/cm

    for NiCr/PZT; and from 0.0072 at -2 kV/cm to 0.0086 at 8 kV/cm for NiCr/PZN-PT.

    Figure 2.5 (b) demonstrates the ∆H0 dependence of E-fieldwhich varied similar to the

    Gilbert damping constant. ∆H0 increase from 190 Oe at -12 kV/cm to 203Oe at 8

    kV/cm for NiCr/PZT; and from 193 Oe at -2 kV/cm to 216 Oe at 8 kV/cm for

    NiCr/PZN-PT. The E-field dependence of the Gilbert damping coefficients and ∆H0

    can be explained by the E-field induced effective magnetic field, which constitutes

    added benefits for E-field tunable RF/microwave magnetic devices.

    It is worth noting the ME coupling coefficient of NiCr/PZN-PT is slightly lower

    than our previous results demonstrated in Fe3O4/PZN-PT and FeGaB/PZN-PT. That is

    because the λs of NiCr is decreased as 4πMs decreases with Cr doping, which leads to

    a relative smaller λs/Ms ratio. Higher λs/Ms ratio of 1.7 ppm/Gauss was discovered in

    Terfenol based alloys, such as Tb1-xNdx(Fe0.9B0.1)2 alloys. [25] However, these

    terfenol based alloys typically have very large FMR linewidth and are also very

    expensive. This investigation on NiCr films and the multiferroic heterostructures

  • 36

    based on NiCr alloys constitutes the first attempt to develop magnetic materials with

    low moments and high magnetostrictions in order to achieve higher ME coupling

    coefficient.Future efforts on low-moment magnetic films for multiferroics should put

    more emphasis on achieving a high λs/Ms ratio while maintaining good RF properties

    at a reasonable cost.

    2.2 Non volatile tunable FeGaB/PSZT magnetic/antiferroelectric

    heterostructures

    2.2.1 FeGaB/PSZT multiferroic heterostructure fabrication

    Besides tunability, there are still challenges exist in these ME devices. For example,

    tunability and volatility are critical properties in voltage-tunable RF/microwave ME

    devices, such as tunable filters and resonators [1-6]. Currently, many ME devices

    require a constant applied E-field rather than a short time voltage impulse for tuning

    and manipulation. Driving by the motivation of reducing energy consumption, the

    non-volatile voltage impulse tunable ME devices, while at the same time enabling

    large and distinct E-field manipulating magnetic properties, such as, magnetization,

    ferromagnetic resonance(FMR), etc, was investigated.

    In this work, we reported novel magnetic/antiferroelectric heterostructures of

    amorphous FeGaB film on La-modified Pb(Sn,Zr,Ti)O3 (PSZT) ceramic substrates.

    The FeGaB films were deposited on the top or on the side of the antiferroelectric

    PSZT substrate by physical vapor deposition (PVD) system (Figure 2.6(a)). We

  • 37

    systematically studied magnetic/microwave performance in FeGaB/PSZT

    multiferroics heterostructure under varying E-field. Strong ME coupling of ~80 Oe

    was exhibiting in FMR field measurements, which can be generated in engineering

    requirements. Mostly importantly, by introducing E-field induced

    anti-ferroelectric/ferroelectric phase transition of PSZT into multiferroics system, a

    novel non-volatile tuning magnetic/microwave properties induced by voltage impulse

    can be achieved in FeGaB/PSZT system. The strong magnetoelectric coupling with

    voltage impulse tunable non-volatile switch in FeGaB/PSZT

    magnetoelectric/antiferroelectric heterostructures constitutes a novel approach to

    achieving strong magnetoelectric coupling which can have great technological

    implications.

    Multiferroic heterostructure FeGaB/PSZT are prepared by co-sputtering of Fe70Ga30

    and B targets onto La-modified PSZT ceramic substrates (8 mm Length×3 mm

    Width×0.5 mm Height ) with a base pressure below 1×10−7

    Torr at room temperature.

    The La-modified PSZT ceramics Pb0.96La0.04(Zr0.45Sn0.36Ti0.18)O3 substrates were

    prepared by a conventional solid-state reaction process. Raw powders were mixed

    with Al2O3 balls in deionized water by ball-milling for 2 hours. The mixtures were

    calcined at 850 oC for 2 hours after being dried. After ball-milling, the powder was

    pressed into disks. Finally, the green compacts were sintered at 1340 oC for 2 hours in

    lead ambiance. The surfaces were polished to deposit magnetic 100nm FeGaB thin

    film and 50 nm Cr electrodes. A 5-nm-thick Cr layer was inserted between FeGaB

    layer and PSZT ceramics to improve adhesion. The ferroelectric/antiferroelectric and

  • 38

    piezo-strain properties were measured by P(E) loop and Photonic meter(MTI 2000).

    Ferromagnetic resonance field sweeping measurements were carried out by electron

    spin resonance(ESR) measurement. A DC E-field was applied across the thickness

    direction of PSZT coated with Cr electrode on the back as an electrode. The

    magnetization measurements of FeGaB/PSZT were carried out by using a vibrating

    sample magnetometer(VSM) (Lakeshore 7400).

    Figure 2.6 (a) The schematic of FeGaB film deposited on the top or on the side of

    Pb(Sn,Zr,Ti)O3 ceramics. E-field is applied across PSZT layer; (b) X-ray diffraction

    pattern of PSZT ceramics (c) Polarization and strain vs. E-field loop of

    Pb(Sn,Zr,Ti)O3 ceramic material, correspondingly; (d) Strain dependence of E-field,

    from 0 kV/cm to 30 kV/cm.

    The X-ray diffraction(XRD) pattern of PSZT ceramics was measured with a Cu Ka

    source (λ=1.541Å), see Figure 2.6(b), the typical PZT crystal orientations were

  • 39

    obtained in XRD measurements. The polarization vs applied E-field(P-E) loop shows

    a typical antiferroelectric P-E loop, [26-29] which indicates the anti-ferroelectric

    phase of PSZT ceramic, see Figure 2.6(c). As the applied E-field is larger than 20

    kV/cm, associated with the polarization increases from from 0 to 18 μC/cm2, the

    anti-ferroelectric phase is transferring into ferroelectric phase, leading to a large

    E-field induced strain along d33 the side orientation, see Figure 2.6 (a) [26-31] as

    shown in Figure 2.6(c). The typical structure of antiferroelectric lead zirconate

    Pb(Zr,Ti)O3 system is orthorhombic (pseudo-tetragonal) [30] and it can be

    voltage-induced into a rhombohedral ferroelectric phase [31]. A large strain was

    approached because the c-axis is elongated during the transition. The

    antiferroelectric-ferroelectric phase transition in PZST substrates gives us the

    opportunity to obtain a strong magnetoelectric coupling coefficient due to large strain

    change at phase transition point, furthermore, the hysteretic strain dependence of

    E-field21-24 also provides the possibility of voltage impulse induced non-volatile

    switch [32]. As demonstrated in Figure 2.6(d), E-field increased from 0 kV/cm to 30

    kV/cm and then decreased to 0 kV/cm, the strain dependence of E-field follow an

    identical hysteretic behavior induced by ferroelectric/antiferroelectric phase transition

    of PSZT substrates. There is a large strain gap between the 15 kV/cm(green) E-field

    increased from 0 kV/cm and the 15 kV/cm(blue) E-field decreased from 30 kV/cm,

    which offers the non-volatility and controllability induced by voltage impulse.

  • 40

    2.2.2 Non-volatile control of magnetism in FeGaB/PSZT multiferroic

    heterostructure

    Figure 2.7 (a) (b) shows the magnetization vs applied magnetic field

    hysteresis(M-H) loops measured under varying E-field, 100 nm FeGaB thin film was

    prepared on the top (a) or the side (b) of PSZT substrates. The strain was larger on the

    side of PSZT than the top of PSZT, however, the roughness was also large on the side

    of PSZT than the top of PSZT. We studied both cases in our experiment to obtain the

    optimized tunability and non-volatility in controlling the magnetization or FMR field.

    In Figure 2.7(a) (b), the M-H loops dependence of applied E-field is studied. The

    coercivity HC of the FeGaB film on the top surface of the PSZT substrate was

    increased from 35 Oe to 41 Oe by applying an electric field, as represent Figure 2.7(a).

    On the contrary, the HC of the FeGaB film on the side was decreased from 39 Oe to

    27 Oe while an electric field of 30 kV/cm is applied, see Figure 2.7(b). At the same

    time, the remanent magnetization of the FeGaB film on the side of PSZT was reduced

    by 30% at an applied E field of 30 kV/cm at zero magnetic field. Further, we

    examined the non-volatility from M-H loops, for FeGaB(top)/PSZT heterostructure,

    the FeGaB M-H loop(green) measured at 15 kV/cm E-field increased from 0 kV/cm is

    closed to the M-H loop(black) measured at 0 kV/cm E-field. Similarly, the M-H

    loop(blue) measured at 15 kV/cm E-field decreased from 30 kV/cm is closed to the

    M-H loop(red) measured at 30 kV/cm E-field. There exists a significant gap between

    the two applied E-field of 15 kV/cm back and forth, introducing non-volatile

    magnetization switches. At applied magnetic field(H=40.5 Oe), by switching the

  • 41

    E-field, the magnetization was changed from 500 Gauss to -500 Gauss, the

    ΔM/M=17%, see the upper left inset of Figure 2.7(a). For FeGaB(side)/PSZT

    heterostructure, as represented in Figure 2.7(b), non-volatile E-field induced M-H

    loops switching was also obtained. The largest magnetization switches back and forth

    were achieved at remnant magnetization, where ΔM=50 Gauss.

    Figure 2.7 (a) M-H loops under varying E-field of FeGaB(top)/PSZT multiferroics

    heterostructure; (b) M-H loops of FeGaB(side)/PSZT multiferroics heterostructure; (c)

    FMR spectra under varying E-field of FeGaB(top)/PSZT multiferroics heterostructure;

    (d) MR spectra of FeGaB(side)/PSZT multiferroics heterostructure.

    Figure 2.7(c) (d) demonstrated ferromagnetic resonance field spectrums of top and

    side FeGaB/PSZT respectively, under varying E-field. In FeGaB(top)/PSZT

    heterostructure, the maximum FMR field switch is 32 Oe, from E-field of 0kV/cm to

  • 42

    30kV/cm, corresponding to ME coupling coefficient 1.1 Oe cm/kV. And the

    maximum FMR field switch was 81 Oe, from E-field of 0 kV/cm to 30 kV/cm,

    leading to ME coupling coefficient of 2.7 Oe cm/kV, at FeGaB(side)/PSZT

    heterostructure. The electric field induced in-plane anisotropy field change can be

    simulated by piezoelectric and inverse magneto-elastic equations. In our case, the

    thicknesses of the FeGaB film and electrode layers are much less than that of the

    PSZT single-crystal substrate, the FeGaB film experienced an in-plane stress induced

    by the piezoelectric strain of the PSZT ceramics. As shown in the inset of Figure 2.7(c)

    (d), the FMR field Hr dependence of applied E-field is similar to the strain

    dependence of E-field, see Figure 2.6(b) (c), which can be derived from equation

    ΔHr=ΔHeff=3λsεY/MS [9-10]. The FMR field shift is directly proportional to the

    E-field induced strain, here Y is Young’s modulus of the FeGaB film, ε is the effective

    piezo-strain along d33 direction, see Figure 2.6(b) (c), Y is Young’s modulus of FeGaB

    and Ms is the saturation magnetization. For our FeGaB thin film, Y=55 GPa, λs=70

    ppm, Ms=1.3 Tesla and ε is 0.07% for PSZT slab at applied E-field of 30 kV/cm, see

    Figure 2.6(b), (c). Effective magnetic field ΔHeff can be calculated as 84 Oe, which

    confirmed our experimental result of 81 Oe. The reason why FMR field shift of top

    FeGaB/PSZT is much smaller than that of side FeGaB is d31 is smaller than d33(about

    50%) of PSZT. The theoretical result of top FeGaB FMR field shift is 42 Oe, which is

    close to 31 Oe as we measured in experiment.

  • 43

    Figure 2.8 (a) Magnetization switch of FeGaB(top)/PSZT under applied H-field of

    40.5 Oe induced by voltage impulse; (b) Magnetization switch of FeGaB(side)/PSZT

    under zero bias magnetic field induced by voltage impulse; (c) FMR field switch of

    FeGaB(top)/PSZT induced by voltage impulse; (d) FMR field switch of

    FeGaB(side)/PSZT induced by voltage impulse.

    Based on the E-field induced non-volatile switches of magnetization at bias applied

    magnetic field and FMR field in FeGaB/PSZT heterostructure, as demonstrated on

    Figure 2.8, the voltage impulse(100ms) tunable magnetization and FMR field

    mechanism can be designed. Figure 2.8(a) (b) shows the voltage impulse tuned

    FeGaB magnetization at bias magnetic field, by maintaining a constant E-field of

    15kV/cm, the E-field impulse(

  • 44

    E-field, see Figure 2.7(a) inset. Figure 2.8(b) showed the magnetization switches at

    zero bias magnetic field in FeGaB(side)/PSZT induced by voltage impulse, from 113

    Gauss to 50 Gauss, back and forth, see Figure 2(b) inset. The FMR field switch by

    voltage impulse was also investigated. For FeGaB(top)/PSZT heterostructure, the

    FMR field switches from ~1015 Oe to ~995 Oe by applying voltage impulse, as

    demonstrated in Figure 2.8(c) and the FMR field switch from ~2094 Oe to ~2043 Oe

    under same voltage impulse series, see Figure 2.8(d). The result also accorded with

    the FMR field dependence of E-field measurements, see Figure 2.7(c) (d).

    In summary, we have demonstrated large magnetic/microwave tunability through

    E-field strain-induced ME coupling in FeGaB/PSZT multiferroics composites. A

    non-volatile magnetization and FMR field switching by E-field-induced

    antiferroelectric/ferroelectric phase transition in PSZT was realized. These features,

    including large tunability and non-volatile switching gives FeGaB/PSZT

    heterostructure great candidates for next-generation voltage-impulse-controlled

    lightweight, energy efficient, spintronics RF/microwave devices.

    2.3 Non volatile tunable FeGaB/PZNPT magnetic/ferroelectric

    heterostructures with giant tunability

    2.3.1 FeGaB/PZNPT multiferroic heterostructure characteration

    In order to improve non-volatile control of magnetism with larger ME coupling

    strength, recently, we reported preliminary results on a novel microwave

  • 45

    heterostructure of FeGaB/PZN-PT (Lead Zinc Niobate-Lead Titanate), 错误!未找到

    引用源。 showing a large E-field-induced ferromagnetic resonance (FMR) tunable

    range with a small line-width, which is ideal for microwave applications. In this work,

    we systematically studied E-field control of microwave performance in the manner of

    magnetic field sweeping and frequency sweeping in ME composites FeGaB/PZN-PT.

    A strong ME interaction was demonstrated by a large E-field-induced in-plane strain

    measured through in situ x-ray diffraction and verified by E-field tuning of FMR

    field and frequency. A new technical solution with dual E-and H-field tunability was

    developed to dramatically enhance FMR tunable range up to 13.1 GHz, which would

    greatly satisfy the engineering requirements for different applications. In addition,

    regarding the hysteric and irreversible E-field-induced phase transition in single

    crystal PZN-PT substrate, we successfully realized novel voltage-impulse-induced

    memory-type of magnetization switching and FMR tuning in FeGaB/PZN-PT

    multiferroic heterostructures. An extremely large converse magnetoelectric coupling

    coefficients were also demonstrated, which were 3850 Oe·cm kV-1

    (∆H/∆E), 3620

    Oe·cm kV-1

    (∆H/∆E) at phase transition points of 3 kV cm-1

    and 5.8 kV cm-1

    ,

    respectively. The giant voltage tunable FMR frequency and voltage impulse induced

    non-volatile magnetization switching in FeGaB/PZN-PT show great potential for next

    generation RF devices with compact size, light weight and high energy efficiency.

  • 46

    Figure 2.9 (a) X-ray diffraction pattern of amorphous FeGaB on (011) orientated

    PZN-PT substrate. Left inset is the AFM image of PZN-PT substrate, showing a

    ferroelectric multi-domain. In each domain, the surface roughness is less than 0.5 nm.

    (b) E-field induced lattice change in FeGaB/PZN-PT heterostructures along different

    orientations. Insets at up-corner show lattices change along [100] and [111] directions

    as electric field applied. Inset at right corner shows the diffraction pattern shift as

    electric field applied. The overall displacement ratio is about -0.36% along [100] and

    0.25% along [011].

    (011) oriented single crystal PZN-PT with large in-plane piezoelectric coefficients

    of d31=-3000 pC N-1

    [100] and d32=1500 pC N-1

    [01-1] was used as ferroelectric

  • 47

    substrate to obtain maximum electric-field-induced in-plane biaxial strain 错误!未找

    到引用源。. Surface morphology of the PZN-PT substrate was characterized by

    Atomic Force Microscope (AFM) in taping model as shown in left inset in Figure

    2.9(a), exhibiting typical ferroelectric rhombohedral domains with kinks at domain

    wall. Such domain structure is caused by the distortion from cubic to rhombohedral as

    lowering temperature, which makes spontaneous polarization along the body

    diagonals in pseduocubic PZN-PT cell. Within a single domain, the surface shows a

    root mean square (rms) roughness of 0.55 nm. The film structures, as well as

    voltage-induced strain or lattice changes in PZN-PT were characterized by in situ

    x-ray diffraction (XRD). As shown in Figure 2.9(a), there are no peaks observed from

    the film, except the peaks from the (011) oriented PZN-PT, indicating that amorphous

    FeGaB phase was produced with excellent soft magnetism and narrow FMR

    line-width. [33] The film thickness was determined to be 50 nm by fitting x-ray

    reflectivity spectrum. To investigate electric-field-induced lattice change along

    various orientations and estimate overall in-plane biaxial strain, we performed in situ

    x-ray diffraction measurements on FeGaB/PZN-PT (011) structure under various

    electric fields. Note that PZN-PT substrate is initially in poling state and electric field

    was applied perpendicularly. An expansion along the out-of-plane direction associated

    with an effective in-plane contraction was observed as the electric field was applied.

    The enhanced out-of-plane lattice parameters of PZN-PT is visible as a shift of Δc/c =

    + 0.28 % as shown in figure 2.9(b) inset. Based on the lattice changes along various

    orientations under electric fields, in-plane biaxial strain was calculated to be -0.36%

  • 48

    along [100] and 0.25% along [01-1] which are proportional to the in-plane

    piezoelectric coefficients. As the FeGaB film is thin enough compared to the PZN-PT

    slab, the FeGaB film on PZN-PT substrate will experience the same strain states as

    the PZN-PT under an electric field, which has been proven in the following discussion

    on electric field control of magnetic properties.

    2.3.2 RF/microwave tunability of FeGaB/PZNPT heterostructure

    Figure 2.10 E-field tuning FMR in field sweeping (a, b) and frequency sweeping (c,d)

    showing a giant tunable range up to 1200 Oe and 5.3 GHz respectively.

  • 49

    Electric field tuning of microwave performance for both frequency sweeping and

    field sweeping in FeGaB/PZN-PT were carried out in our homemade

    coplanar-waveguide (CPW) FMR test unit. FeGaB/PZN-PT is laid face down on

    CPW and magnetoelectrically operates in the L-T (Longitudinal

    magnetized/Transverse polarized) mode, where voltage is applied along the normal

    direction and in-plane magnetic anisotropy is manipulated by biaxial stress through

    piezoelectric and magnetostrictive effects. As a function of magnetic anisotropy,

    in-plane FMR of FeGaB can be expressed by Kittel equation

    f =g (H +Heff )(H +Heff + 4pMs ) , where γ is the gyromagnetic ratio ~2.8 MHz Oe-1,

    H is the FMR field; 4πMs is the magnetization of FeGaB. Heff is the voltage

    induced effective magnetic field and can be expressed by Heff =

    3lss EM s . Here, λ is

    magnetostriction constant of FeGaB (~80 ppm); ζE is electric-field-induced biaxial

    stress which is tensile along [01-1] and compressive along [100]. This biaxial stress,

    which has been demonstrated in situ x-ray diffraction measurements, enables

    electrically manipulating FMR in both frequency and field sweeping measurements.

    As shown in Figure 2.10(a,b), remarkable upward and downward shifts in FMR field

    spectra were observed in field sweeping as an electric field of 6kV cm-1 was applied,

    while external magnetic fields are along [100] and [01-1] direction respectively,

    confirming the result in ref. 34. Such opposite shift originates from the

    electric-field-induced magnetic easy axis along [01-1] and hard axis along [100]. The

    total FMR tunable range was 1200 Oe, corresponding to a large ME coefficient of 100

    Oe cm kV-1

    , indicating a strong mechanical coupling at interface between substrate

  • 50

    and thin film. Similar results were also observed in frequency sweeping FMR

    measurement as shown in Fig 2.10(c,d). A downward frequency shift from 11.3

    GHz to 8.5 GHz and upward shift from 11.3 GHz to 13.8 GHz achieved as an external

    magnetic bias field of 518 Oe was applied along [100] and [01-1] direction

    respectively, corresponding to a giant frequency tunable range of 5.3 GHz and

    microwave ME coefficient of 880 MHz cm kV-1. These electric-field-induced FMR

    field and frequency shifts are correlated and can be interpreted in Kittle equation (1).

    In addition, FMR linewidth for both frequency sweeping and field sweeping shows

    relative small and less than 60 Oe or 360 MHz no matter electric field applied,

    indicating a uniform deformation occurred in FeGaB film under biaxial stress. We

    also observed non-linear FMR response as electric field applied from 4 kV cm-1~6

    kV cm-1, which are consistent with the non-linear out-of-plane lattice change in XRD

    measurement and can be explained by electric-field-induced phase transition in

    PZN-PT.

  • 51

    Figure 2.11 E-field induced FMR frequency shift under various magnetic bias fields.

    The total electrically tunable range up to 13.1 GHz can be achieved with the

    assistance of magnetic bias field.

    By varying electric field, we have demonstrated a strong electric dependence of

    FMR frequency under a certain magnetic bias field. This distinct tunability enables us

    to develop a convenient engineer route to dramatically enhance tunable range and

    cover whole X and K band (3 GHz~18 GHz) with great energy efficiency. Figure 2.11

    shows the electric field manipulating of FMR frequency spectrum under various

    external magnetic bias fields. For a small bias field 650 Oe, a large frequency tunable

    range of 7.5 GHz was achieved with the minimum frequency at f=2.8 GHz. As

    increasing bias fields, FMR spectrum shifts upward and reaches to the maximum

    frequency of 15.9 GHz at 2060 Oe, but the frequency tunable range is slightly reduced

    to 4.75 GHz. With continues shift up of FMR spectrum as increasing bias fields, a

  • 52

    strategy was proposed to dramatically enhance tunable FMR coverage with

    low-power consumption. By combining two appropriate external bias fields, for

    instance 650 Oe and 2060 Oe in this case, with the application of electric fields, an

    enormous frequency tunable range of Δf=13.1 GHz from 2.8 GHz to 15.9 GHz was

    realized, in which any FMR frequency among this range can be reached by

    controlling electric fields and external magnetic bias fields. To further study how

    magnetic bias field and electric field manipulate FMR frequency, theoretical

    calculation based on Kittel equation as well as comparison with experimental results

    are presented in Figure 2.12, where absolute value of effective magnetic field of 600

    Oe is used which was derived from FMR shift in field sweeping measurement; the

    magnetization of FeGaB is 9300 Gauss determined by VSM measurement. The results

    show great agreement between simulation and experimental results. At low bias field,

    electric field produced a large frequency tunable range of Δf with lower FMR

    frequency. In contrast, at large bias field, FMR frequency was sitting at high

    frequency but with less electrical tunability. From this chart, one can choose

    appropriate external magnetic bias field and electric field to optimize and maximum

    FMR tunability to satisfy the specific demands in real applications. So far, we have

    systematically demonstrated voltage induced remarkable FMR field and frequency

    tuning and proposed a technique route to dramatically enhance such tunability by

    several times through combining external magnetic field and electric field. Next, we

    will demonstrate a voltage pulse induced memory type of magnetization or FMR

    switching, originating from the electric-field-induced phase transition in PZN-PT.

  • 53

    This is very import issue existed in most ME devices that it is challenge to realize

    irreversible magnetization electrically switching.

    Figure 2.12. Comparison of theoretical simulation (solid line) and experiment results

    (symbol) of electric-field-induced FMR change under various magnetic bias fields.

    2.3.3 Non-volatile switch of magnetism in FeGaB/PZNPT

    heterostructure

    Electric-field-induced phase transition is very prominent in PZN-PT single crystal

    with the composition near morphotropic phase boundary (MPB). For example,

    rhombohedral to orthorhombic phase transition is taken place in [011] oriented

    PZN(6%~7%)-PT under a sufficient poling field. In opposite, the crystal reverted

  • 54

    back to a predominantly rhombohedral state as the remnants of orthorhombic phase is

    electrically removed. Such electric-field-induced transition is irreversible due the

    extra effort to overcome remnant states and is expected to display hysteresis type of

    lattice change or strain vs. electric field. Given the strain induced magnetic anisotropy

    and FMR change through ME coupling, phase transition as application of electric

    field can be evidenced in FeGaB/PZN-PT by FMR and magnetization measurements

    and could contribute to realize memory type of FMR and magnetization switching.

    Figure 2.13 shows the hysteresis loops of FMR vs. electric field in field sweeping

    (blue) with working frequency of 12 GHz and in frequency sweeping (red) with a

    magnetic bias field of 50 Oe. Both of them exhibit a linear correlation at low electric

    field, indicating a linear converse piezoelectric effect within rhombohedral phase. As

    electric field reaches to the critical threshold of Ec1 ~ 5.8 kV cm-1

    , a sudden change in

    both resonance filed and frequency take place, suggesting the appearance of phase

    transition with a remarkable lattice change and giant ME effect. At high field, FMR

    field and frequency saturated with little strain variation. As lowering electric field

    from 8 kV cm-1

    , the orthorhombic phase and strain state remains fairly stable until

    electric field reaches to another critical field of Ec2 ~3 kV cm-1

    . Extremely large

    converse magnetoelectric coupling coefficients of 3850 Oe·cm kV-1 (∆H/∆E), 3620

    Oe·cm kV-1

    (∆H/∆E) at phase transition points of 3 kV cm-1

    and 5.8 kV cm-1

    are

    observed respectively. Symmetric behavior was observed by applying negative E-field

    from 0 kV cm-1 to -8 kV cm-1 Evidenced by a sudden change of FMR field and

    frequency, PZN-PT reverted back to rhombohedral phase. Note here, the opposite

  • 55

    trend in electric field dependence of resonance field and resonance frequency

    (Figure5) is consistent with FMR measurements as shown in Figure 2.10 and can be

    explained by Kittel equation (1). Such hysteresis type of electric field control of strain

    and magnetic states provides an opportunity to realize non-volatile FMR switching,

    which is extremely important in memory type ME microwave devices.

    Figure 2.13 Hysteresis loops of E-field vs. FMR frequency, measured under a bias

    magnetic field of 50 Oe (red) and E-field vs. FMR field with working frequency of 12

    GHz (blue).

  • 56

    Figure 2.14 (a) Magnetic hysteresis loops of FeGaB/PZN-PT heterostructure

    measured at different E-field; (b) Hysteresis loop of magnetization vs. E-field of

    FeGaB under a magnetic bias field of 200 Oe (c) E-field impulse induced dynamically

    memory-type magnetization switching.

    Due to the difficulty of dynamic measurement of FMR spectrum shift, electric field

    dynamically tuning of magnetization in FeGaB/PZN-PT, which could lead to a

    non-volatile switching in FMR, are demonstrated as shown in Figure 2.14.

    Normalized FeGaB/PZN-PT magnetic hysteresis loops under various electric fields

    (Figure 2.14a) imply that a large effective magnetic field is produced and makes

    magnetization process harder as 7 kV cm-1

    applied. This is quite consistent with FMR

    measurement. With the application of external magnetic bias field of 200 Oe, the

  • 57

    magnetization response to electric field was studied, showing an irreversible,

    hysteresis type behavior as illustrated in Fig 2.14 (b), agreeing with the electric field

    assisted phase transition and induced FMR hysteresis loops. Furthermore,

    memory-type dynamically switching of magnetization between two bistable states

    was demonstrated as shown in Figure 2.14 (c). An electric field of 5 kV cm-1

    was

    maintained as a bias field and 3 kV cm-1

    and 7 kV cm-1

    electric impulses (

  • 58

    Chapter 3 Low Temperature Fabricated Multiferroics

    Heterostructure

    3.1 Spin Spray deposited ZnO and Al-doped ZnO thin film

    Zinc oxide is a direct wide band gap (Eg ~3.3 eV at 300 K) [35], hexagonal

    wurtzite structure semiconductor that has gained a lot of attention due to its high

    electrical and optical properties. It has been used in a wide variety of electronic,

    optoelectronic, spintronics and nanodevices, such as, transparent thin-film transistors,

    transparent electrodes in flat-panel displays and solar cells [35-40]. Compared with

    other wide band gap materials, for example, GaN (Eg ~3.4 eV at 300 K), ZnO has a

    large exciton binding energy (~60 meV), is more stable at high temperature, less toxic

    and easier to pattern on devices. ZnO also has a much simpler crystal-growth

    technology, resulting in potential low-cost ZnO-based devices.

    There exists several growth methods for ZnO micro/nano-structures including

    electrochemical [41],

    chemical bath methods [42], hydrothermal growth [43],

    chemical vapor transport [44], vapor-phase growth [45], pulsed laser deposition [46],

    sputtering [47] etc. Though a lot of these conventional methods are low-temperature

    and cost effective, they have the disadvantages of slow deposition rates (~0.1 nm/s)

    which are too slow for industrial use. Spin-spray technique, which was original

    developed for depositing high crystalline quality ferrite films from aqueous solution at

    a low temperature of 90C [48], is currently been explored as a good candidate for

    ZnO film growth [49-50]. The spin-spray technique is a low-temperature, low cost,

  • 59

    direct deposition technique, with the added advantage that it requires no seed layer for

    film growth, has a continuous supply of fresh solution which preserves the high

    concentrate of solute, and has a high deposition rate of up to 333 nm/min, making it

    suitable for thick film development for industrial use. Spin-spray process has been

    shown to produce high crystal quality ferrite films with good adhesion properties,

    excellent magnetic propertiesand have been used for microwave devices such as

    antennas and filters.

    The structural, electrical and optical properties of ZnO micro/nanostructures

    depend on the deposition parameters, regardless of the method of growth [51]. Wagata

    et al [52], showed that the (002) peak in the XRD pattern was weakened with a

    change from spin-sprayed ZnO rod array to dense film and that post annealing

    affected the UV luminescence of the ZnO microstructures. Since the practical

    applications of ZnO depend on these properties, it is extremely important to

    investigate the effect of the deposition conditions on the growth and properties of

    ZnO structures by the spin-spray technique.

    To further improve the properties of the ZnO films, various elements can be doped

    into their microstructures to modify their properties. By doping group-III elements

    such as aluminum, boron, gallium, higher conductivity of these films can be achieved

    due to oxygen vacancies and zinc interstitials [51-53]. Doped ZnO thin films also

    have high temperature stability because the dopin