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Authortowhomcorrespondenceshouldbeaddressed.Electronicmail: [email protected]. III. RESULTSANDDISCUSSION II.EXPERIMENTAL I. INTRODUCTION The single crystals of Tr x Bi 2 Se 3 and Bi 2-x Tr x Se 3 (Tr ¼ Cr, Fe, Cu) were grown by melting a stoichiometric 0021-8979/2011/109(7)/07E312/3/$30.00 V C 2011AmericanInstituteofPhysics 109,07E312-1 JOURNALOFAPPLIEDPHYSICS109,07E312(2011) DepartmentofPhysics,SogangUniversity,Seoul121-742,SouthKorea 1 2 a)
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Transport and magnetic properties of Cr-, Fe-, Cu-doped topologicalinsulators
Y. H. Choi,1 N. H. Jo,1 K. J. Lee,1 J. B. Yoon,2 C. Y. You,2 and M. H. Jung1,a)
1Department of Physics, Sogang University, Seoul 121-742, South Korea2Department of Physics, Inha University, Incheon 402-751, South Korea
(Presented 15 November 2010; received 24 September 2010; accepted 9 November 2010; published
online 23 March 2011)
We report a new class of three-dimensional topological insulators of transition metal doped Bi2Se3,
TrxBi2Se3, and Bi2-xTrxSe3 (Tr ¼ Cr, Fe, Cu) with x ¼ 0.15, for the intercalation and substitution cases.
With varying the doping atoms, a great variety of properties are observed in a single crystal form. The
Cu-intercalated crystal shows superconducting behavior below 3 K, where the diamagnetic signal is
found. The increase of carrier density at low temperature is likely to be responsible for the
superconductivity. The magnetically doped case of the Fe-substituted Bi2Se3 exhibits dominance of
ferromagnetic interactions, whereas the Cr-substituted Bi2Se3 favors antiferromagnetic interactions.
From these results, we learn that the peculiar transport and magnetic properties of topological insulator
Bi2Se3 are easily tunable by chemical doping elements, which change the Fermi energy and manipulate
the charge carriers. VC 2011 American Institute of Physics. [doi:10.1063/1.3549553]
I. INTRODUCTION
One of the big issues in condensed matter physics is the
discovery of topological insulators. Topological insulators
are new materials that have a bulk bandgap, but have con-
ducting surface state which is protected by time-reversal
symmetry. Quantum Hall effect was led to the discovery of
topological order for the past years.1 The quantum spin Hall
insulator states were reported in 2-dimensional (2D) topolog-
ical insulators such as graphene2 and HgTe quantum wells.3
Recently, the 3D topological insulator properties have been
observed in BiSb, Sb, Bi2Se3, Bi2Te3, and the conducting
surface states have been confirmed by angle-resolved photo-
emission spectroscopy (ARPES).4–7 Because of the peculiar
topological order parameter, the properties are easily tunable
by controlling the Fermi level as well as manipulating the
charge carriers through chemical doping. For example, it has
been reported that Bi2Se3 can be converted into supercon-
ductor by Cu intercalation.8 Furthermore, the ARPES experi-
ments have shown that the Fe substitution of Bi2Se3 results
in opening a gap at the surface state.9 Theoretically, the 3D
topological insulators of Bi2Te3, Bi2Se3, and Sb2Te3 has
been suggested to become magnetically ordered insulators
by doping with transition metal elements such as Cr and
Fe.10 Nevertheless, there has been no transport and magnetic
information enough to underline the peculiar tunable states
by doping. Thus, we report the transport and magnetic prop-
erties of Bi2Se3 with different doped atoms such as Cr, Fe,
and Cu for both substitution and intercalation cases.
II. EXPERIMENTAL
The single crystals of TrxBi2Se3 and Bi2-xTrxSe3 (Tr
¼ Cr, Fe, Cu) were grown by melting a stoichiometric
mixture. The mixture of high-purity Bi, Se, and Tr elements
was sealed in evacuated quartz ampoules. The ampoule
was heated up to 850 oC for 12 hs and was kept at that tem-
perature for 1 h. Then, it was slowly cooled to 620 oC for 46
hs and was quenched in cold water. The obtained crystals
were easily cleaved along the plane with shiny flat surface.
X-ray diffraction (XRD) measurements were carried out by
using Bruker D8 diffractometer with Cu K a radiation. The
samples were characterized by using electron probe micro-
analyzer (EPMA) and inductively coupled plasma (ICP)
spectrometer. The transport properties were measured
by using Quantum Design physical property measurement
system (PPMS). The superconducting quantum interference
device-vibrating sample magnetometer (SQUID-VSM) from
Quantum Design was used to measure the magnetic
properties.
III. RESULTS AND DISCUSSION
Figure 1 shows the XRD data for all single crystals. It
is clear that the samples are single phased with the rhombo-
hedral structure of Bi2Se3 (R3m space group).11 Most of
XRD peaks correspond to (0 0 L) reflections, indicating the
cleaved surface is the ab plane. No significant difference
between intercalated and substituted samples (TrxBi2Se3 and
Bi2-xTrxSe3, respectively) is observed, in contrast to the pre-
vious report on Cu-intercalated Bi2Se3 where the c-axis lat-
tice is increased.8 A splitting in the peaks around 60 and 70
degree occurs due to the difference in wavelengths in the
x-ray source of Cu K a1 and Cu K a2 radiations used to mea-
sure the diffraction patterns. Furthermore, an additional peak
around 40 degree for Cr-substituted and Fe-intercalated
Bi2Se3 might be detected because the single crystals are
mounted with a slight tilt angle or a slight misalignment of
the crystallinity. The stoichiometric ratio was nominally
checked by the EPMA and ICP techniques. We could check
a)Author to whom correspondence should be addressed. Electronic mail:
0021-8979/2011/109(7)/07E312/3/$30.00 VC 2011 American Institute of Physics109, 07E312-1
JOURNAL OF APPLIED PHYSICS 109, 07E312 (2011)
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the stoichiometric composition of roughly Bi: Se ¼ 2:3 and
the corresponding doping level. A small deviation from the
stoichiometric ratio might stem from the composition gradi-
ent inside the quartz ampoule.9
We measured the temperature dependence of electrical
resistivity, which shows typical metallic behavior for all sin-
gle crystals of TrxBi2Se3 and Bi2-xTrxSe3 (Tr ¼ Cr, Fe, Cu)
with x ¼ 0.15. In Fig. 2, the typical resistivity curve for the
Cu-substituted Bi2Se3 is displayed. It is known that the as-
grown crystals of Bi2Se3 display metallic behavior because
the Fermi energy lies in the conduction band due to the gen-
eration of electrons donated by Se vacancies.12,13 By chemi-
cal doping, we can drive the Fermi level inside the energy
gap, leading to nonmetallic behavior. For example, nonme-
tallic resistivity profile was observed in Bi2-xCaxSe3 with a
narrow doping window 0.002< x< 0.0025,12 and p-type
conducting profile was observed with higher doping level.13
However, all resistivity curves of TrxBi2Se3 and Bi2-xTrxSe3
(Tr¼Cr, Fe, Cu) for x¼ 0.15 show metallic behavior, which
is expected for Se vacancies. This result implies that there is
no significant change of the Fermi energy by doping for Cr,
Fe, and Cu.
The charge carrier type was found by the Hall measure-
ment. The sign of linear slope of Hall voltage versus mag-
netic field is negative, giving rise to the n-type carriers for
all the crystals. The estimated carrier density of the as-grown
Bi2Se3 is approximately 5.8 � 1019/cm3, independent of tem-
perature. For the Cu doped cases, the Cu-substituted BiSe3
shows a temperature independence of carrier density �2.7
� 1018/cm3 between 50 and 300 K, while the Cu-intercalated
Bi2Se3 shows a strong temperature dependence of carrier
density �1.7 � 1018/cm3 at 300 K and 2.2 � 1020/cm3 at
50 K. The increment of carrier density at low temperature in
the Cu-intercalated Bi2Se3 could be responsible for the
superconducting transition with TC ¼ 3 K. In the inset of
Fig. 2, a diamagnetic signal below TC is verified for the
superconductivity. The origin of nonzero resistivity below
TC is the small amount of superconducting volume fraction,
as described in Ref. 8. Note that at 300 K the carrier density
for the Cu-intercalated Bi2Se3 is lower than that for the
Cu-substituted Bi2Se3. This tendency is common for the Cr
and Fe doped cases, where the carrier density is independent
of temperature. For example, the carrier density of the Cr-
intercalated Bi2Se3 is 1 order of magnitude lower than that
of the Cr-substituted Bi2Se3. On the other hand, the mobility
found in the intercalated samples is much higher. Consider-
ing the temperature independence of carrier density, it is
obvious that the mobility is increased as the temperature is
lowered because of the metallic resistivity behavior. For
example, the mobility of the Cr-substituted Bi2Se3 is about
2000 cm2/Vs at 50 K, which is 1 order of magnitude is
higher than that at 300 K.
We have also studied the magnetic properties of
TrxBi2Se3 and Bi2-xTrxSe3 (Tr ¼ Cr, Fe, Cu) with x ¼ 0.15.
Representative magnetic data for the Cr- and Fe-substituted
Bi2Se3 crystals are displayed in Fig. 3. The magnetic suscep-
tibility of the as-grown Bi2Se3 is small (�8� 10-6 emu/mol),
which is independent of temperature. For the Cr-substituted
Bi2Se3, the high-temperature data satisfy the Curie-Weiss
law given by v ¼ v0 þ C/(T�hP) where v0 is the temperature
independent susceptibility, C the Curie constant, and hP the
paramagnetic Curie temperature. From this fit, we could
obtain the effective magnetic moment leff ¼ 0.95 lB/f.u. and
the paramagnetic Curie temperature hP ¼ �229.8 K. Assum-
ing Cr is divalent with 4.9 lB, from the obtained leff value
the substituted content of Cr ion is estimated to be about
19%, which is close to the Cr starting composition x ¼ 0.15.
The negative large value of hP implies a strong antiferromag-
netic exchange in the Cr-substituted Bi2Se3. The linear de-
pendence of the magnetization versus field curve at low
temperature is likely to result from the antiferromagnetism,
although we cannot rule out another possible origin of para-
magnetism. On the other hand, the magnetic susceptibility of
the Fe-substituted Bi2Se3 yields the effective magnetic
moment leff ¼ 0.69 lB/f.u. and the paramagnetic Curie tem-
perature hP ¼ þ5.2 K. The estimated composition of Fe ion
is approximately 13% from the assumption of divalent Fe
ion and 18% from trivalent Fe ion. The positive hP value
implies a ferromagnetic exchange, which is manifested in
FIG. 2. Temperature dependence of electrical resistivity for the Cu-substituted
Bi2Se3. The inset represents the magnetic susceptibility of the Cu-intercalated
Bi2Se3.
FIG. 1. X-ray diffraction patterns of Bi2Se3 with different doping elements
of Cr, Fe, and Cu for both intercalation and substitution cases,
i.e., TrxBi2Se3 and Bi2-xTrxSe3 (Tr ¼ Cr, Fe, Cu) with x ¼ 0.15.
07E312-2 Choi et al. J. Appl. Phys. 109, 07E312 (2011)
Downloaded 27 Apr 2011 to 124.124.205.98. Redistribution subject to AIP license or copyright; see http://jap.aip.org/about/rights_and_permissions
the magnetization curve showing ferromagnetic behavior at
low temperature. This ferromagnetism is similar to previous
reports on highly Fe-doped Bi2Se3,9 but there are no anoma-
lies at ferrimagnetic transition temperatures of Fe-Se alloy.14
Thus, we suggest that this ferromagnetism is attributed to the
intrinsic Fe doping effect on Bi2Se3, rather than any other
ferromagnetic inclusion. For the Cr- and Fe-intercalated
cases that are not shown here, we obtained much larger val-
ues of the effective magnetic moment than the expected val-
ues. This may result from the randomly distributed Cr and
Fe inclusion. Further studies are needed to address the com-
plicated and anomalous magnetic properties affected by
chemical doping into Bi2Se3.
IV. CONCLUSION
The chemical doping effects of Bi2Se3 including substi-
tution and intercalation were studied by changing the doping
elements of Cr, Fe, and Cu. As reported earlier, we found
superconducting behavior in the Cu-intercalated crystal and
nonsuperconducting behavior in the Cu-substituted crystal.
The carrier density for the Cu-intercalated Bi2Se3 at low
temperature is 2 orders of magnitude larger than others. This
increase of carrier density is closely related with the appear-
ance of superconductivity. Even though the un-doped Bi2Se3
shows a temperature independence of magnetic susceptibil-
ity, the Fe and Cr doped crystals tend to be ferromagnetic
and antiferromagneic, respectively. The different magnetic
interactions depending on the doping elements are of great
interests because it may spawn a new class of studies on
topologically magnetic insulators in the field of spintronics.
ACKNOWLEDGMENTS
This work was supported by Basic Science Research
Program through the National Research Foundation of Korea
(NRF) funded by the Ministry of Education, Science and
Technology (KRF-2010-0005427) and by IT R&D program
of MKE/KEIT (2009-F-004-01, STT-MRAM).
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FIG. 3. Temperature dependence of magnetic susceptibility for the Cr- and
Fe-substituted Bi2Se3 measured in a field of 20 kOe and 30 kOe, respec-
tively. The insets represent the corresponding magnetization vs. field curves
measured at 20 K, 30 K, and 300 K.
07E312-3 Choi et al. J. Appl. Phys. 109, 07E312 (2011)
Downloaded 27 Apr 2011 to 124.124.205.98. Redistribution subject to AIP license or copyright; see http://jap.aip.org/about/rights_and_permissions