Electronic transport properties of topological insulator films and low dimensional superconductors
Electronic transport properties of topological insulator films and low dimensional superconductors
Ying Xing (邢颖)1, Yi Sun (孙祎)1, Meenakshi Singh2, Yan-Fei Zhao (赵弇斐)1, Moses H. W. Chan2, Jian Wang (王健)1,2()
1. International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China; 2. The Center for Nanoscale Science and Department of Physics, The Pennsylvania State University, University Park, PA 16802-6300, USA
In this review, we present a summary of some recent experiments on topological insulators (TIs) and superconducting nanowires and films. Electron-electron interaction (EEI), weak anti-localization (WAL) and anisotropic magneto-resistance (AMR) effect found in topological insulator films by transport measurements are reported. Then, transport properties of superconducting films, bridges and nanowires and proximity effect in non-superconducting nanowires are described. Finally, the interplay between topological insulators and superconductors (SCs) is also discussed.
Corresponding Author(s):
Jian Wang (王健),Email:jianwangphysics@pku.edu.cn
引用本文:
. Electronic transport properties of topological insulator films and low dimensional superconductors[J]. Frontiers of Physics, 2013, 8(5): 491-508.
Ying Xing (邢颖), Yi Sun (孙祎), Meenakshi Singh, Yan-Fei Zhao (赵弇斐), Moses H. W. Chan, Jian Wang (王健). Electronic transport properties of topological insulator films and low dimensional superconductors. Front. Phys. , 2013, 8(5): 491-508.
M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. , 2010, 82: 3045 doi: 10.1103/RevModPhys.82.3045
2
S. Murakami, N. Nagaosa, and S. C. Zhang, Spin-Hall insulator, Phys. Rev. Lett. , 2004, 93(15): 156804 doi: 10.1103/PhysRevLett.93.156804
3
D. Hsieh, D. Qian, L. Wray, Y. Xia, Y. S. Hor, R. J. Cava, and M. Z. Hasan, A topological Dirac insulator in a quantum spin Hall phase, Nature , 2008, 452(7190): 970 doi: 10.1038/nature06843
4
Y. Xia, D. Qian, D. Hsieh, L. Wray, A. Pal, H. Lin, A. Bansil, D. Grauer, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Observation of a large-gap topological-insulator class with a single Dirac cone on the surface, Nat. Phys. , 2009, 5(6): 398 doi: 10.1038/nphys1274
5
P. Roushan, J. Seo, C. V. Parker, Y. S. Hor, D. Hsieh, D. Qian, A. Richardella, M. Z. Hasan, R. J. Cava, and A. Yazdani, Topological surface states protected from backscattering by chiral spin texture, Nature , 2009, 460(7259): 1106 doi: 10.1038/nature08308
6
T. Zhang, P. Cheng, X. Chen, J. F. Jia, X. Ma, K. He, L. Wang, H. Zhang, X. Dai, Z. Fang, X. Xie, and Q. K. Xue, Experimental demonstration of topological surface states protected by time-reversal symmetry, Phys. Rev. Lett. , 2009, 103(26): 266803 doi: 10.1103/PhysRevLett.103.266803
7
J. Chen, H. J. Qin, F. Yang, J. Liu, T. Guan, F. M. Qu, G. H. Zhang, J. R. Shi, X. C. Xie, C. L. Yang, K. H. Wu, Y. Q. Li, and L. Lu, Gate-voltage control of chemical potential and weak antilocalization in Bi2Se3, Phys. Rev. Lett. , 2010, 105(17): 176602 doi: 10.1103/PhysRevLett.105.176602
8
J.G. Checkelsky, Y. S. Hor, M. H. Liu, D. X. Qu, R. J. Cava, and N. P. Ong, Quantum interference in macroscopic crystals of nonmetallic Bi2Se3, Phys. Rev. Lett. , 2009, 103(24): 246601 doi: 10.1103/PhysRevLett.103.246601
9
D. X. Qu, Y. S. Hor, J. Xiong, R. J. Cava, and N. P. Ong, Quantum oscillations and hall anomaly of surface states in the topological insulator Bi2Te3, Science , 2010, 329(5993): 821 doi: 10.1126/science.1189792
10
H. L. Peng, K. J. Lai, D. S. Kong, S. Meister, Y. L. Chen, X. L. Qi, S. C. Zhang, Z. X. Shen, and Y. Cui, Aharonov-Bohm interference in topological insulator nanoribbons, Nat. Mater. , 2010, 9: 225
11
C. Z. Chang, J. S. Zhang, X. Feng, J. Shen, Z. C. Zhang, M. H. Guo, K. Li, Y. B. Ou, P. Wei, L. L. Wang, Z. Q. Ji, Y. Feng, S. H. Ji, X. Chen, J. F. Jia, X. Dai, Z. Fang, S. C. Zhang, K. He, Y. Y. Wang, L. Lu, X. C. Ma, and Q. K. Xue, Experimental observation of the quantum anomalous hall effect in a magnetic topological insulator, Science , 2013, 340(6129): 167 doi: 10.1126/science.1234414
12
Y. Liu, Z. Ma, Y. F. Zhao, M. Singh, and J. Wang, Transport properties of topological insulators films and nanowires, Chinese Physics B, 2013, 22(6): 067302 doi: 10.1088/1674-1056/22/6/067302
13
M. Konig, S. Wiedmann, C. Brune, A. Roth, H. Buhmann, L. W. Molenkamp, X. L. Qi, and S. C. Zhang, Quantum spin Hall insulator state in HgTe quantum wells, Science , 2007, 318(5851): 766 doi: 10.1126/science.1148047
14
H. J. Zhang, C. X. Liu, X. L. Qi, X. Dai, Z. Fang, and S. C. Zhang, Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface, Nat. Phys. , 2009, 5(6): 438 doi: 10.1038/nphys1270
15
H. Z. Lu, J. R. Shi, and S. Q. Shen, Competition between weak localization and antilocalization in topological surface states, Phys. Rev. Lett. , 2011, 107(7): 076801 doi: 10.1103/PhysRevLett.107.076801
16
M. H. Liu, J. S. Zhang, C. Z. Chang, Z. C. Zhang, X. Feng, K. Li, K. He, L. L. Wang, X. Chen, X. Dai, Z. Fang, Q. K. Xue, X. C. Ma, and Y. Y. Wang, Crossover between weak antilocalization and weak localization in a magnetically doped topological insulator, Phys. Rev. Lett. , 2012, 108(3): 036805 doi: 10.1103/PhysRevLett.108.036805
18
M. Liu, C. Z. Chang, Z. Zhang, Y. Zhang, W. Ruan, K. He, L. Wang, X. Chen, J. F. Jia, S. C. Zhang, Q. K. Xue, X. Ma, and Y. Wang, Electron interaction-driven insulating ground state in Bi2Se3 topological insulators in the two-dimensional limit, Phys. Rev. B , 2011, 83(16): 165440 doi: 10.1103/PhysRevB.83.165440
19
H. T. He, G. Wang, T. Zhang, I. K. Sou, G. K. L. Wong, J. N. Wang, H. Z. Lu, S. Q. Shen, and F. C. Zhang, Impurity effect on weak antilocalization in the topological insulator Bi2Te3, Phys. Rev. Lett. , 2011, 106(16): 166805 doi: 10.1103/PhysRevLett.106.166805
20
M. Tian, W. Ning, Z. Qu, H. F. Du, J. Wang, and Y. H. Zhang, Dual evidence of surface Dirac states in thin cylindrical topological insulator Bi2Te3 nanowires, Scientific Reports , 2013, 3: 1212 doi: 10.1038/srep01212
21
J. Wang, A. M. DaSilva, C. Z. Chang, K. He, J. K. Jain, N. Samarth, X. C. Ma, Q. K. Xue, and M. H. W. Chan, Evidence for electron-electron interaction in topological insulator thin films, Phys. Rev. B , 2011, 83(24): 245438 doi: 10.1103/PhysRevB.83.245438
22
S. Hikami, A. I. Larkin, and Y. Nagaoka, Spin-orbit interaction and magnetoresistance in the two dimensional random system, Prog. Theor. Phys. , 1980, 63(2): 707 doi: 10.1143/PTP.63.707
23
S. Maekawa and H. Fukuyama, Magnetoresistance in twodimensional disordered systems: Effects of Zeeman splitting and spin-orbit scattering, J. Phys. Soc. Jpn. , 1981, 50(8): 2516 doi: 10.1143/JPSJ.50.2516
24
P. A. Lee and T. V. Ramakrishnan, Magnetoresistance of weakly disordered electrons, Phys. Rev. B , 1982, 26(8): 4009 doi: 10.1103/PhysRevB.26.4009
25
Z. Zeng, T. A. Morgan, D. Fan, C. Li, Y. Hirono, X. Hu, Y. Zhao, J. S. Lee, J. Wang, Z. M. Wang, S. Yu, M. E. Hawkridge, M. Benamara, and G. J. Salamo, Molecular beam epitaxial growth of Bi2Te3 and Sb2Te3 topological insulators on GaAs (111) substrates: A potential route to fabricate topological insulator p-n junction, AIP Advances , 2013, 3(7): 072112 doi: 10.1063/1.4815972
26
J. Wang, H. Li, C. Chang, K. He, J. S. Lee, H. Lu, Y. Sun, X. Ma, N. Samarth, S. Shen, Q. Xue, M. Xie, and M. H. W. Chan, Anomalous anisotropic magnetoresistance in topological insulator films, Nano Research , 2012, 5(10): 739 doi: 10.1007/s12274-012-0260-z
27
J. Wang, X. C. Ma, Y. Qi, Y. S. Fu, S. H. Ji, L. Lu, J. F. Jia, and Q. K. Xue, Negative magnetoresistance in fractal Pb thin films on Si(111), Appl. Phys. Lett. , 2007, 90(11): 113109 doi: 10.1063/1.2712511
28
J. Wang, X. C. Ma, Y. Qi, Y. S. Fu, S. H. Ji, L. Lu, X. C. Xie, J. F. Jia, X. Chen, and Q. K. Xue, An unusual magnetoresistance effect in the heterojunction structure of an ultrathin single-crystal Pb film on silicon substrate, Nanotechnology , 2008, 19(47): 475708 doi: 10.1088/0957-4484/19/47/475708
29
J. Wang, X. C. Ma, L. Lu, A. Z. Jin, C. Z. Gu, X. C. Xie, J. F. Jia, X. Chen, and Q. K. Xue, Anomalous magnetoresistance oscillations and enhanced superconductivity in single-crystal Pb nanobelts, Appl. Phys. Lett. , 2008, 92(23): 233119 doi: 10.1063/1.2945280
30
J. Wang, X. Ma, S. Ji, Y. Qi, Y. Fu, A. Jin, L. Lu, C. Gu, X. C. Xie, M. Tian, J. Jia, and Q. Xue, Magnetoresistance oscillations of ultrathin Pb bridges, Nano Research , 2009, 2(9): 671 doi: 10.1007/s12274-009-9070-3
31
W. A. Little and R. D. Parks, Observation of quantum periodicity in the transition temperature of a superconducting cylinder, Observation of Physical Review Letters , 1962, 9(1): 9 doi: 10.1103/PhysRevLett.9.9
32
M. L. Tian, J. Wang, Q. Zhang, N. Kumar, T. E. Mallouk, and M. H. W. Chan, Superconductivity and quantum oscillations in crystalline Bi nanowire, Nano Lett. , 2009, 9(9): 3196 doi: 10.1021/nl901431t
33
M. L. Tian, J. G. Wang, N. Kumar, T. H. Han, Y. Kobayashi, Y. Liu, T. E. Mallouk, and M. H.W. Chan, Observation of superconductivity in granular Bi nanowires fabricated by electrodeposition, Nano Lett. , 2006, 6(12): 2773 doi: 10.1021/nl0618041
34
Y. Eckstein and J. B. Ketterson, Shubnikov-de Haas effect in bismuth, Phys. Rev. , 1965, 137(6A): A1777 doi: 10.1103/PhysRev.137.A1777
35
P. De Gennes, Boundary effects in superconductors, Rev. Mod. Phys. , 1964, 36(1): 225 doi: 10.1103/RevModPhys.36.225
36
J. Wang, Y. Sun, M. Tian, B. Liu, M. Singh, and M. H. W. Chan, Superconductivity in single crystalline Pb nanowires contacted by normal metal electrodes, Phys. Rev. B , 2012, 86(3): 035439 doi: 10.1103/PhysRevB.86.035439
37
M. Tian, N. Kumar, S. Y. Xu, J. G. Wang, J. S. Kurtz, and M. H. W. Chan, Suppression of superconductivity in zinc nanowires by bulk superconductors, Phys. Rev. Lett. , 2005, 95(7): 076802 doi: 10.1103/PhysRevLett.95.076802
38
M. L. Tian, N. Kumar, J. G. Wang, S. Y. Xu, and M. H. W. Chan, Influence of a bulk superconducting environment on the superconductivity of one-dimensional zinc nanowires, Phys. Rev. B , 2006, 74(1): 014515 doi: 10.1103/PhysRevB.74.014515
39
M. Singh, J. Wang, M. L. Tian, T. E. Mallouk, and M. H. W. Chan, Antiproximity effect in aluminum nanowires with no applied magnetic field, Phys. Rev. B , 2011, 83(22): 220506 doi: 10.1103/PhysRevB.83.220506
40
Y. Chen, Y. H. Lin, S. D. Snyder, and A. M. Goldman, Stabilization of superconductivity by magnetic field in outof-equilibrium nanowires, Phys. Rev. B , 2011, 83(5): 054505 doi: 10.1103/PhysRevB.83.054505
41
Y. Chen, S. D. Snyder, and A. M. Goldman, Magnetic-fieldinduced superconducting state in Zn nanowires driven in the normal state by an electric current, Phys. Rev. Lett. , 2009, 103(12): 127002 doi: 10.1103/PhysRevLett.103.127002
42
M. Singh, J. Wang, M. L. Tian, Q. Zhang, A. Pereira, N. Kumar, T. E. Mallouk, and M. H. W. Chan, Synthesis and superconductivity of electrochemically grown single-crystal aluminum nanowires, Chem. Mater. , 2009, 21(23): 5557 doi: 10.1021/cm901302z
43
H. C. Fu, A. Seidel, J. Clarke, and D. H. Lee, Stabilizing superconductivity in nanowires by coupling to dissipative environments, Phys. Rev. Lett. , 2006, 96(15): 157005 doi: 10.1103/PhysRevLett.96.157005
44
A. O. Caldeira and A. J. Leggett, Influence of dissipation on quantum tunneling in macroscopic systems, Phys. Rev. Lett. , 1981, 46(4): 211 doi: 10.1103/PhysRevLett.46.211
45
M. L. Tian, J. U. Wang, J. Kurtz, T. E. Mallouk, and M. H. W. Chan, Electrochemical growth of single-crystal metal nanowires via a two-dimensional nucleation and growth mechanism, Nano Lett. , 2003, 3(7): 919 doi: 10.1021/nl034217d
46
Y. Sun, J. Wang, W. W. Zhao, M. L. Tian, M. Singh, and M. H. W. Chan, Voltage-current properties of superconducting amorphous tungsten nanostrips, Scientific Reports , 2013, 3:2307 doi: 10.1038/srep02307
47
J. Wang, C. Shi, M. Tian, Q. Zhang, N. Kumar, J. Jain, T. Mallouk, and M. Chan, Proximity-induced superconductivity in nanowires: Minigap state and differential magnetoresistance oscillations, Phys. Rev. Lett. , 2009, 102(24): 247003 doi: 10.1103/PhysRevLett.102.247003
48
L. He and J. Wang, Periodic magnetoresistance oscillations induced by superconducting vortices in single crystal Au nanowires, Nanotechnology , 2011, 22(44): 445704 doi: 10.1088/0957-4484/22/44/445704
49
A. I. Buzdin, Proximity effects in superconductorferromagnet heterostructures, Rev. Mod. Phys. , 2005, 77(3): 935 doi: 10.1103/RevModPhys.77.935
50
E. A. Demler, G. B. Arnold, and M. R. Beasley, Superconducting proximity effects in magnetic metals, Phys. Rev. B , 1997, 55(22): 15174 doi: 10.1103/PhysRevB.55.15174
51
M. Giroud, H. Courtois, K. Hasselbach, D. Mailly, and B. Pannetier, Superconducting proximity effect in a mesoscopic ferromagnetic wire, Phys. Rev. B , 1998, 58(18): R11872 doi: 10.1103/PhysRevB.58.R11872
52
J. Wang, M. Singh, M. Tian, N. Kumar, B. Z. Liu, C. Shi, J. K. Jain, N. Samarth, T. E. Mallouk, and M. H .W. Chan, Interplay between superconductivity and ferromagnetism in crystalline nanowires, Nat. Phys. , 2010, 6(5): 389 doi: 10.1038/nphys1621
53
H. M. Jaeger, D. B. Haviland, B. G. Orr, and A. M. Goldman, Onset of superconductivity in ultrathin granular metal films, Phys. Rev. B , 1989, 40(1): 182 doi: 10.1103/PhysRevB.40.182
54
F. J. Jedema, B. J. van Wees, B. H. Hoving, A. T. Filip, and T. M. Klapwijk, Spin-accumulation-induced resistance in mesoscopic ferromagnet-superconductor junctions, Phys. Rev. B , 1999, 60(24): 16549 doi: 10.1103/PhysRevB.60.16549
55
V. I. Fal’ko, A. F. Volkov, and C. Lambert, Interplay between spin-relaxation and Andreev reflection in ferromagnetic wires with superconducting contacts, Phys. Rev. B , 1999, 60(22): 15394 doi: 10.1103/PhysRevB.60.15394
56
Y. N. Chiang, O. G. Shevchenko, and R. N. Kolenov, Manifestation of coherent and spin-dependent effects in the conductance of ferromagnets adjoining a superconductor, Low Temp. Phys. , 2007, 33(4): 314 doi: 10.1063/1.2720077
57
P. Santhanam, C. Chi, S. Wind, M. Brady, and J. Bucchignano, Resistance anomaly near the superconducting transition temperature in short aluminum wires, Phys. Rev. Lett. , 1991, 66(17): 2254 doi: 10.1103/PhysRevLett.66.2254
58
M. Eschrig, Spin-polarized supercurrents for spintronics, Phys. Today , 2011, 64(1): 43 doi: 10.1063/1.3541944
59
L. Fu and C. L. Kane, Superconducting proximity effect and majorana fermions at the surface of a topological insulator, Phys. Rev. Lett. , 2008, 100(9): 096407 doi: 10.1103/PhysRevLett.100.096407
60
J. Linder, Y. Tanaka, T. Yokoyama, A. Sudbo, and N. Nagaosa Nagaosa, Unconventional superconductivity on a topological insulator, Phys. Rev. Lett. , 2010, 104(6): 067001 doi: 10.1103/PhysRevLett.104.067001
61
B. Sacepe, J. B. Oostinga, J. Li, A. Ubaldini, N. J. G. Couto, E. Giannini, and A. F. Morpurgo, Gate-tuned normal and superconducting transport at the surface of a topological insulator, Nat. Commun. , 2011, 2: 575 doi: 10.1038/ncomms1586
62
M. Veldhorst, M. Snelder, M. Hoek, T. Gang, V. K. Guduru, X. L. Wang, U. Zeitler, W. G. van der Wiel, A. A. Golubov, H. Hilgenkamp, and A. Brinkman, Josephson supercurrent through a topological insulator surface state, Nat. Mater. , 2012, 12(2): 171 doi: 10.1038/nmat3541
63
M. X. Wang, C. H. Liu, J. P. Xu, F. Yang, L. Miao, M. Y. Yao, C. L. Gao, C. Y. Shen, X. C. Ma, X. Chen, Z. A. Xu, Y. Liu, S. C. Zhang, D. Qian, J. F. Jia, and Q. K. Xue, The coexistence of superconductivity and topological order in the Bi2Se3 thin films, Science , 2012, 336(6077): 52 doi: 10.1126/science.1216466
64
Y. X. Ou, M. Singh, and J. Wang, Quantum transport in topological insulator hybrid structures-A combination of topological insulator and superconductor, Science China-Phys. Mech. Astron. , 2012, 55(12): 2226
66
D. Zhang, J. Wang, A. M. DaSilva, J. S. Lee, H. R. Gutierrez, M. H. W. Chan, J. Jain, and N. Samarth, Superconducting proximity effect and possible evidence for Pearl vortices in a candidate topological insulator, Phys. Rev. B , 2011, 84(16): 165120 doi: 10.1103/PhysRevB.84.165120
