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Alexander A. BalandinNano-Device LaboratoryDepartment of Electrical Engineering andMaterials Science and Engineering ProgramUniversity of California – Riverside
Thermal Management at NanoscaleThermal Management at Nanoscale: : Problems and Opportunities Problems and Opportunities
APEC, Palm Springs, February 2010
Alexander A. Balandin, University of California - Riverside2
UCR Bell Tower
City of Riverside
UCR Botanic Gardens
Joshua Tree Park, California
UCR Engineering Building
Alexander A. Balandin, University of California - Riverside
Nano-Device Laboratory (NDL) Department of Electrical Engineering University of California – Riverside
Profile: experimental and theoretical research in nano materials and devices
Research at NDL is funded by NSF, ONR, SRC, DARPA, NASA, ARO, AFOSR, CRDF, as well as industry, including IBM, Raytheon, TRW, etc.
Research & Applications
Raman, Fluorescence and PL Spectroscopy
Electronic Devices and
Circuits
Optoelectronics
Direct Energy Conversion
Bio- Nanotech
Thermal and Electrical Characterization
Device Design and Characterization
Nanoscale Characterization
Theory and Modeling
PI: Alexander A. Balandin
Alexander A. Balandin, University of California - Riverside4
Outline
MotivationsDownscaling and the thermal issuesHigh-power density electronics and heat removalNew approaches for thermal management High-heat-flux method and hot-spot spreading
Thermal Conductivity of GrapheneNew non-contact measurement techniqueGraphene vs carbon nanotubes
New possibilitiesConclusions
Trench
Graphene
Alexander A. Balandin, University of California - Riverside
The Thermal “Show Stopper” for Electronics
IEEE Spectrum illustration of the thermal issues in the feature article
A.A. Balandin, Chill Out: New Materials and Designs Can Keep Chips Cool (October 2009)
No BIG fan solutions!
The old industry approach does not work
Alexander A. Balandin, University of California - Riverside
Trends: Increase in Thermal Design Power
6
Thermal design power is the maximum sustained power dissipated by the microprocessors
TDP was increasing with increasing performance complicating thermal management.
The switch to multi-core designs
Data is after R. Mahajan et al., Proceed. IEEE (2006)
The problem of hot spots:
Non-uniform power densities Power densities above 500 W/cm2
Alexander A. Balandin, University of California - Riverside
ITRS: Thermal Management Issues
7
IC performance is now limited by the power, which can be dissipated without exceeding the maximum T set by the reliability requirements.
ITRS: power consumption, both dynamic and static, related to unavoidable leakage currents, is an urgent challenge.
In the next five years up to 80% of microprocessor power will beconsumed by the interconnect wiring (compare to 51% at 130 nm node).
Power dissipation in the interconnect structure will increase dramatically due to higher clock frequencies and increase in the number of metal layers and interfaces.
Joule heating in the interconnects may result in significantly higher temperature rise as compared to power dissipated in active devices.
Alexander A. Balandin, University of California - Riverside
New Aspects of Thermal Transport in Nanoscale Devices and Circuits
8
New Phenomena at Nanoscale:Acoustic phonon MFP in bulk crystalline
Si at T=300K (Debye model): ~ 50 nm
Comparison: electron MFP in Si: 7.6 nm
Dominant phonon wavelength in Si
1.4 nm at T=300 K or 4 mm at T=0.1 K
Device Feature Sizes
CMOS gate length < 50 nm
CMOS gate-oxide thickness ~ 1.2 nm
Superlattice period: ~ 1.5 nm
Technology Trends:
Increasing number of interconnects
Increasing power density
Increased leakage current
High switching frequencies
Increased thermal resistance of the chip
Thermal boundary resistance
Materials with low thermal conductivity
Nanostructured materials do not conduct heat as well as bulk materials
modified from IBM picture
Alexander A. Balandin, University of California - Riverside
Thermal Issues in High-Power Density Electronics: GaN FETs
Strategy: Incorporation of the thermal management constrains early at the device design stage
-4 -3 -2 -1 0 1 2 3 40
20
40
60
80
100
120
140
Tran
scon
duct
ance
(mS/
mm
)
Gate-Source Voltage (V)
25C 50C 100C 150C 200C 250C
Vds=6V
W.L. Liu, V.O. Turin, A.A. Balandin, Y.L. Chen and K.L. Wang, MRS J. of Nitride Semi Research, 9, 7 (2004).
200 nm n – GaN Active Layer
3 μm SI GaN Buffer
R bd
100 - 300 μm Substrate
Alexander A. Balandin, University of California - Riverside
300 400 500 600 700 8000
20
40
60
80
100
120
140
160
TEMPERATURE (K)
THER
MA
L C
ON
DU
CTI
VITY
(W/m
-K) Si Bulk Diffuse Scattering (p=0)
Si Nanowire: A
Si Nanowire: B
The “Nano-Problem”: Thermal Conductivity Degradation at Nanoscale
Thermal conductivity definition:
TKAQ ∇−=/&RT thermal conductivity values for important materials:
Si: 145 W/mK
SiO2 : 1-13 W/mK
GaN: 150-300 W/mK
Diamond: 1000 – 2200 W/mK
Graphite: 200 – 2000 W/mK
CNTs: 3000 – 3500 W/mK
J. Zou and A.A. Balandin, J. Appl. Phys., 89, 2932 (2001).
Phonon - boundary scatteringPhonon spectrum changes
Alexander A. Balandin, University of California - Riverside
Composite Substrates: Diamond Materials For Hot Spot Spreading
New Developments:
Si wafers become thinner (consider the effects on the Si cost of the rapid developments in solar cells)
Progress in synthetic diamond deposition and growth
Diamond heat spreaders will be closer to heat generation areas in thinned Si wafers
Issues:
Compatibility with Si CMOS
Cost
Finding an optimum combination of material properties: grain size vs thermal conductivity vs. interface quality vs. temperature of deposition
Micro-crystalline diamond on Si
Nano-crystalline diamond on Si
Alexander A. Balandin, University of California - Riverside
Finding the Optimum Synthetic Diamond - Si Combination
10 20 30 40 50 60 70 80 90 10085
86
87
88
89
90
91
92
93
94Ultra-nano-crystalline diamondon silicon substrate
Ther
mal
Con
duct
ivity
, K (W
/mK
)
Temperature (0C)200 400
10-3
10-2
10-1
100
101
102
Hopping Model (22nm, t=0.32)
Hopping Model (26nm, t=0.2)
Minimum K for Carbon
Hopping Model (2μm, t=0.9)
Bulk Diamond: Callaway Model
Ther
mal
Con
duct
ivity
(W/c
mK
)
Temperature (K)
Poly NCD_25 NCD_0
Nanocrystalline diamond offers smoother interface but lower thermal conductivity
Minimization of the thermal boundary resistance (TBR)
Alexander A. Balandin, University of California - Riverside
New Unique Material Option: Graphene
Individual atomic layers of sp2-hybridized carbon bound in two-dimensions. Crystalline graphite is composed of graphene layers.
“Unrolled Carbon Nanotube”
“Graphene Revolution” brought about by K.S. Novoselov and A.K. Geim (Manchester, UK and Chernogolovka, Russia) with the help of bulk graphite and something similar to a Scotch tape.
[Novoselov, et al., Science (2004)].
Alexander A. Balandin, University of California - Riverside
1 10 100 1000 100001E-12
1E-11
1E-10
1E-9
1E-8
1E-7
1E-6Double-Gate Graphene Transistor
VDS=0.05 V
Nor
mal
ized
Cur
rent
Noi
se D
ensi
ty (H
z-1)
Frequency (Hz)
VG=0 VVG=10 VVG=20 VVG=30 VVG=40 V
1/f
G. Liu, et al., Appl. Phys. Lett., 95, 033103 (2009).Q. Shao, et al., IEEE Electron Device Lett., 30, 288 (2009).
Practical Applications of Graphene: Transistors and Interconnects
Alexander A. Balandin, University of California - Riverside15
Issues:Insulator vs conductorAnisotropy Thermal expansionTemperature stabilityLarge-area
Prospects of the High-Heat Flux Thermal Management with Graphene
Concept change: from the post-chip making level to the device and materials level consideration at nanoscale
Passive high-heat flux thermal management at the device/chip level
Possible Material Systems:Synthetic diamondCarbon nanotubesGraphene
Alexander A. Balandin, University of California - Riverside16
Conventional Measurement Techniques Do Not Work for Graphene
Cr/Au heater- thermometer sensors patterned on top of the samples by photolithography.
3-ω Thermal Conductivity Setup Transient Plane Source Technique
0 1 2 3 4 50.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
2.2
2.4
Measurement Time: 5 s
Dissipated PowerSample: 0.05 W Si Wafer: 0.5 W
TEM
PER
ATU
RE
RIS
E (o C
)
TIME (s)
SILICON REFERENCE SAMPLE
Thermal conductivity and heat capacity extraction from the T(t) dependence.
Laser – Flash Technique
Alexander A. Balandin, University of California - Riverside17
Micro-Raman Spectroscopy of Graphene
Alternatives:
low-temperature transport study
cross-sectional TEM
Optical visualization on “magic” substrates
AFM inspection
Disorder D band: ~ 1350 cm-1: in-plane A1g (LA) zone-edge
G peak: double degenerate zone center E2g mode
A.C. Ferrari et al., Phys. Rev. Lett. 97, 187401 (2006).
I. Calizo, A.A. Balandin et al., Nano Letter 7, 2645 (2007)
Alexander A. Balandin, University of California - Riverside18
2D-band features of graphene on a standard Si/SiO2 (300nm) substrate are highly reproducible and, together with the G-peak position, can be used to count the number of graphene layers.
Raman Nanometrology of Graphene Layers
2300 2400 2500 2600 2700 2800 2900 30000
4000
8000
12000
16000
20000
24000
Inte
nsity
(arb
. uni
ts)
Raman Shift (cm-1)
Graphene @ 300Kλ exc = 488 nm
1 layer
2 layers
3 layers
4 layers
5 layers
Deconvolution of 2D band
Double-resonance model
I. Calizo, et al., Appl. Phys. Lett., 91, 201904 (2007).
I. Calizo, et al., Appl. Phys. Lett., 91, 071913 (2007).
Alexander A. Balandin, University of California - Riverside
IEEE Spectrum illustration of the first measurements of thermal conductivity of graphene carried out at UCR.
See details in A.A. Balandin et al., Nano Letters, 8, 902 (2008).
SEM image of the suspended graphene flake connected to heat sinks
UCR Experiment: Heating Up Graphene
Alexander A. Balandin, University of California - Riverside20
Experimental Approach and Suspended Graphene Layers
Trench
TrenchSLG
FLG
substrate
FLG
Graphene flakes suspended across trenches in Si/SiO2 wafers
Alexander A. Balandin, University of California - Riverside
Extraction of the Thermal Conductivity Data: Raman Spectrometer as a Thermometer
Excitation laser acts as a heater: ΔPG
Raman spectrometer acts as a thermometer: ΔTG=Δω/χG
Thermal conductivity: K=(L/2aGW)(ΔPG/ΔTG)
1( / 2 ) ( / ) .G G GK L a W Pχ ω −= Δ Δ
0 1 2 3 4
-6
-4
-2
0
2
4
SLOPE: -1.292 cm-1/mW
SUSPENDED GRAPHENE
G P
EAK
POSI
TIO
N S
HIF
T (c
m-1)
POWER CHANGE (mW)
EXPERIMENTAL POINTS LINEAR FITTING
-200 -150 -100 -50 0 50 1001576
1578
1580
1582
1584
1586
1588
1590
1500 1550 1600 1650
3,000
4,500
6,000
7,500
G P
eak
Posi
tion
(cm
)-1
Temperature ()°
G Peak Position Linear Fit of Data
Single Layer Graphene
slope = -0.016 cm-1/ °C
Inte
nsity
(arb
. uni
ts)
Raman Shift (cm-1)
Single LayerGrapheneλexc=488 nm
G Peak1582 cm-1
Alexander A. Balandin, University of California - Riverside
Graphene Heat Spreaders Designs for Active Devices and Interconnects
Heat Sink
Heat Sink
Silicon Substrate (500μm)
Graphene
SiO2
(100 nm) Heat Sink
S. Subrina, D. Kotchetkov and A.A. Balandin, IEEE Electron Device Letters, 30, 1281 (2009).
Alexander A. Balandin, University of California - Riverside
Nanoscale Phonon Engineering: New Possibilities for Improved Heat Removal
Theory: V.A. Fonoberov and A.A. Balandin, Nano Letters, 6, 2442 (2006).
Alexander A. Balandin, University of California - Riverside
Other 2D Crystals with Wan der Waals “Gaps”: Thermoelectric Applications
Quintuple thickness: ~1 nm
Identification: AFM, SEM, TEM
(a)
1 μm
Overlapping Regions
1 μm
Alexander A. Balandin, University of California - Riverside
COVER IMAGE: Applied Physics Letters, February 1, 2010
Active On-Spot Cooling of Nano-Devices
Alexander A. Balandin, University of California - Riverside
The Route to Three-Dimensional Electronics
IEEE Spectrum artistic rendering of the future 3D electronic chips with graphene transistors, graphene interconnects and heat spreaders, CNT electrical and thermal vias. After A.A. Balandin, Chill Out: New Materials and Designs Can Keep Chips Cool (October, 2009).
Is Carbon the Answer?
Alexander A. Balandin, University of California - Riverside27
Conclusions
Heat dissipation is a crucial problem for nanometer scale devices and ULSI chips Thermal conductivity of most materials deteriorates when they are structured at nanometer scaleThere are some materials, which maintain or even improve heat conduction property at nanoscale: grapheneGraphene can be used for hot-spot spreading in the active devices and interconnectsPossibility for the high-power electronics: better thermal interface materialsConcept change for thermal management: from post-chip design effort to materials/device level effort
Alexander A. Balandin, University of California - Riverside
Acknowledgements
Balandin group in front of the Nano-Device Laboratory (NDL), 2008