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Studies on the electronic structures of three-dimensional topological insulators by angle resolved photoemission spectroscopy |
Yulin Chen1,2,3( ) |
1. Department of Physics, University of Oxford, Clarendon Laboratory, Parks Road, Oxford, OX1 3PU, UK; 2. Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA; 3. Geballe Laboratory for Advanced Materials, Departments of Physics and Applied Physics, Stanford University, Stanford, CA 94305, USA |
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Abstract Three-dimensional (3D) topological insulators represent a new state of quantum matter with a bulk gap and odd number of relativistic Dirac fermions on the surface. The unusual surface states of topological insulators rise from the nontrivial topology of their electronic structures as a result of strong spin–orbital coupling. In this review, we will briefly introduce the concept of topological insulators and the experimental method that can directly probe their unique electronic structure: angle resolved photoemission spectroscopy (ARPES). A few examples are then presented to demonstrate the unique band structures of different families of topological insulators and the unusual properties of the topological surface states. Finally, we will briefly discuss the future development of topological quantum materials.
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Keywords
topological insulator (TI)
photoemission
ARPES
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Corresponding Author(s):
Chen Yulin,Email:Yulin.Chen@physics.ox.ac.uk
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Issue Date: 01 April 2012
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1 |
P. Anderson, Basic Notions of Condensed Matter Physics , Reading: Addison-Wesley, 1997
|
2 |
K. v. Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. , 1980, 45: 494 doi: 10.1103/PhysRevLett.45.494
|
3 |
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. , 1982, 49: 405 doi: 10.1103/PhysRevLett.49.405
|
4 |
J. Bellissard, A. van Elst, and H. Schulz-Baldes, J. Math. Phys. , 1994, 35: 5373 doi: 10.1063/1.530758
|
5 |
X. L. Qi and S. C. Zhang, Phys. Today , 2010, 63: 33 doi: 10.1063/1.3293411
|
6 |
L. Fu and C. L. Kane, Phys. Rev. B , 2007, 76: 045302 doi: 10.1103/PhysRevB.76.045302
|
7 |
X. L. Qi, T. L. Hughes, and S. C. Zhang, Phys. Rev. B , 2008, 78: 195424 doi: 10.1103/PhysRevB.78.195424
|
8 |
C. L. Kane and E. J. Mele, Phys. Rev. Lett. , 2005, 95: 226801 doi: 10.1103/PhysRevLett.95.226801
|
9 |
C. L. Kane and E. J. Mele, Phys. Rev. Lett. , 2005, 95: 146802 doi: 10.1103/PhysRevLett.95.146802
|
10 |
B. A. Bernevig, T. L. Hughes, and S. C. Zhang, Science , 2006, 314: 1757 doi: 10.1126/science.1133734
|
11 |
M. K?nig, S. Wiedmann, C. Brüne, A. Roth, H. Buhmann, L. W. Molenkamp, X. L. Qi, and S. C. Zhang, Science , 2007, 318: 766 doi: 10.1126/science.1148047
|
12 |
D. Hsieh, D. Qian, L. Wray, Y. Xia, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Nature , 2008, 452: 970 doi: 10.1038/nature06843
|
13 |
H. Zhang, C. Liu, X. Qi, X. Dai, Z. Fang, and S. Zhang, Nat. Phys. , 2009, 5: 438 doi: 10.1038/nphys1270
|
14 |
Y. Xia, D. Qian, D. Hsieh, L. Wray, A. Pal, H. Lin, A. Bansil, D. Grauer, Y. Hor, R. Cava, and M. Z. Hasan, Nat. Phys. , 2009, 5: 398 doi: 10.1038/nphys1274
|
15 |
D. Hsieh, Y. Xia, D. Qian, L. Wray, J. H. Dil, F. Meier, J. Osterwalder, L. Patthey, J. G. Checkelsky, N. P. Ong, A. V. Fedorov, H. Lin, A. Bansil, D. Grauer, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Nature , 2009, 460: 1101 doi: 10.1038/nature08234
|
16 |
Y. L. Chen, J. G. Analytis, J. H. Chu, Z. K. Liu, S. K. Mo, X. L. Qi, H. J. Zhang, D. H. Lu, X. Dai, Z. Fang, S. C. Zhang, I. R. Fisher, Z. Hussain, and Z. X. Shen, Science , 2009, 325: 178 doi: 10.1126/science.1173034
|
17 |
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, Nature , 2009, 460: 1106 doi: 10.1038/nature08308
|
18 |
L. Fu, C. L. Kane, and E. J. Mele, Phys. Rev. Lett. , 2007, 98: 106803 doi: 10.1103/PhysRevLett.98.106803
|
19 |
L. Fu, Phys. Rev. Lett. , 2009, 103: 266801 doi: 10.1103/PhysRevLett.103.266801
|
20 |
A. R. Akhmerov, J. Nilsson, and C. W. J. Beenakker, Phys. Rev. Lett. , 2009, 102: 216404 doi: 10.1103/PhysRevLett.102.216404
|
21 |
J. E. Moore and L. Balents, Phys. Rev. B , 2007, 75: 121306 doi: 10.1103/PhysRevB.75.121306
|
22 |
R. Roy, Phys. Rev. B , 2009, 79: 195321 doi: 10.1103/PhysRevB.79.195321
|
23 |
X. L. Qi, T. L. Hughes, S. Raghu, and S. C. Zhang, Phys. Rev. Lett. , 2009, 102: 187001 doi: 10.1103/PhysRevLett.102.187001
|
24 |
L. Fu and E. Berg, Phys. Rev. Lett. , 2010, 105: 097001 doi: 10.1103/PhysRevLett.105.097001
|
25 |
Y. L. Chen, J. H. Chu, J. G. Analytis, Z. K. Liu, K. Igarashi, H. H. Kuo, X. L. Qi, S. K. Mo, R. G. Moore, D. H. Lu, M. Hashimoto, T. Sasagawa, S. C. Zhang, I. R. Fisher, Z. Hussain, and Z. X. Shen, Science , 2010, 329: 659 doi: 10.1126/science.1189924
|
26 |
Y. Hor, J. Checkelsky, D. Qu, N. Ong, and R. Cava, J. Phys. Chem. Solids , 2011, 72: 572 doi: 10.1016/j.jpcs.2010.10.027
|
27 |
B. Yan, C. X. Liu, H. J. Zhang, C. Y. Yam, X. L. Qi, T. Frauenheim, and S. C. Zhang, Europhys. Lett. , 2010, 90: 37002 doi: 10.1209/0295-5075/90/37002
|
28 |
Y. L. Chen, Z. K. Liu, J. G. Analytis, J. H. Chu, H. J. Zhang, B. H. Yan, S. K. Mo, R. G. Moore, D. H. Lu, I. R. Fisher, S. C. Zhang, Z. Hussain, and Z. X. Shen, Phys. Rev. Lett. , 2010, 105: 266401 doi: 10.1103/PhysRevLett.105.266401
|
29 |
H. Min, J. E. Hill, N. A. Sinitsyn, B. R. Sahu, L. Kleinman, and A. H. MacDonald, Phys. Rev. B , 2006, 74: 165310 doi: 10.1103/PhysRevB.74.165310
|
30 |
Y. Yao, F. Ye, X. L. Qi, S. C. Zhang, and Z. Fang, Phys. Rev. B , 2007, 75: 041401 doi: 10.1103/PhysRevB.75.041401
|
31 |
H. Lin, R. S. Markiewicz, L. A. Wray, L. Fu, M. Z. Hasan, and A. Bansil, Phys. Rev. Lett. , 2010, 105: 036404 doi: 10.1103/PhysRevLett.105.036404
|
32 |
S. Chadov, X. Qi, J. Kübler, G. H. Fecher, C. Felser, and S. C. Zhang, Nat. Mater. , 2010, 9: 541 doi: 10.1038/nmat2770
|
33 |
H. Lin, L. Wray, Y. Xia, S. Xu, S. Jia, R. Cava, A. Bansil, and M. Hasan, Nat. Mater. , 2010, 9: 546 doi: 10.1038/nmat2771
|
34 |
M. P. Seah and W. A. Dench, Surface and Interface Analysis , 1979, 1: 2, http://dx.doi.org/10.1002/sia.740010103 doi: 10.1002/sia.740010103
|
35 |
A. Becquerel, CR (East Lansing, Mich.) , 1839, 9: 561
|
36 |
H. Hertz, Annalen der Physik , 1887, 267: 421 doi: 10.1002/andp.18872670707
|
37 |
A. Einstein, Ann. Phys. , 1906, 20: 199 doi: 10.1002/andp.19063250613
|
38 |
B. Feuerbacher, B. Fitton, and R. Willis, Photoemission and The Electronic Properties of Surfaces , New York (London): Wiley, 1978
|
39 |
A. Shitade, H. Katsura, J. Kunes, X. L. Qi, S. C. Zhang, and N. Nagaosa, Phys. Rev. Lett. , 2009, 102: 256403 doi: 10.1103/PhysRevLett.102.256403
|
40 |
X. Wan, A. M. Turner, A. Vishwanath, and S. Y. Savrasov, Phys. Rev. B , 2011, 83: 205101 doi: 10.1103/PhysRevB.83.205101
|
41 |
W. R?entgen, Sitzungsberichte der Physikalisch–Medizischen Gesellschaft in Wurzburg, Phys. Medi. Society , 1895, S. 132-141 , Band 137
|
42 |
A. J. Nicholson, Appl. Opt. , 1970, 9: 1155 doi: 10.1364/AO.9.001155
|
43 |
F. Elder, A. Gurewitsch, R. Langmuir, and H. Pollock, Phys. Rev. , 1947, 71: 829 doi: 10.1103/PhysRev.71.829.5
|
44 |
T. H. Maiman, Nature , 1960, 187: 493 doi: 10.1038/187493a0
|
45 |
A. Lienard, L’ Eclairage Elec. , 1898, 16: 5
|
46 |
D. H. Bilderback, P. Elleaume, and E. Weckert, J. Phys. B , 2005, 38: S773 doi: 10.1088/0953-4075/38/9/022
|
47 |
E. Fermi, Zeits. f. Physik, 1934, 88: 172
|
48 |
D. Hsieh, Y. Xia, L. Wray, D. Qian, A. Pal, J. H. Dil, J. Osterwalder, F. Meier, G. Bihlmayer, C. L. Kane, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Science , 2009, 323: 919 doi: 10.1126/science.1167733
|
49 |
D. Hsieh, Y. Xia, D. Qian, L. Wray, F. Meier, J. H. Dil, J. Osterwalder, L. Patthey, A. V. Fedorov, H. Lin, A. Bansil, D. Grauer, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Phys. Rev. Lett. , 2009, 103: 146401 doi: 10.1103/PhysRevLett.103.146401
|
50 |
Z. Alpichshev, J. Analytis, J. Chu, I. Fisher, Y. Chen, Z. Shen, A. Fang, and A. Kapitulnik, Phys. Rev. Lett. , 2010, 104: 16401 doi: 10.1103/PhysRevLett.104.016401
|
51 |
S. Souma, K. Kosaka, T. Sato, M. Komatsu, A. Takayama, T. Takahashi, M. Kriener, K. Segawa, and Y. Ando, Phys. Rev. Lett. , 2011, 106: 216803 doi: 10.1103/PhysRevLett.106.216803
|
52 |
S.-Y. Xu, L. A. Wray, Y. Xia, F. von Rohr, Y. S. Hor, J. H. Dil, F. Meier, B. Slomski, J. Osterwalder, M. Neupane, H. Lin, A. Bansil, A. Fedorov, R. J. Cava, and M. Z. Hasan, arXiv: 1101.3985v1 , 2011
|
53 |
Y. Zhang, K. He, C. Z. Chang, C. L. Song, L. L. Wang, X. Chen, J. F. Jia, Z. Fang, X. Dai, W. Y. Shan, S.-Q. Shen, Q. Niu, X.-L. Qi, S.-C. Zhang, X.-C. Ma, and Q.-K. Xue, Nat. Phys. , 2010, 6: 584 doi: 10.1038/nphys1689
|
54 |
C. X. Liu, H. Zhang, B. Yan, X. L. Qi, T. Frauenheim, X. Dai, Z. Fang, and S. C. Zhang, Phys. Rev. B , 2010, 81: 041307 doi: 10.1103/PhysRevB.81.041307
|
55 |
X. L. Qi, R. Li, J. Zang, and S. C. Zhang, Science , 2009, 323: 1184 doi: 10.1126/science.1167747
|
56 |
J. Zang and N. Nagaosa, Phys. Rev. B , 2010, 81: 245125 doi: 10.1103/PhysRevB.81.245125
|
57 |
F. Wilczek, Nature , 2009, 458: 129 doi: 10.1038/458129e
|
58 |
L. A. Wray, S.Y. Xu, Y. Xia, D. Hsieh, A. V. Fedorov, Y. S. Hor, R. J. Cava, A. Bansil, H. Lin, and M. Z. Hasan, Nat. Phys. , 2011, 7: 32 doi: 10.1038/nphys1838
|
59 |
G. Wang, X. G. Zhu, Y. Y. Sun, Y. Y. Li, T. Zhang, J. Wen, X. Chen, K. He, L. L. Wang, X. C. Ma, J. F. Jia, S. B. Zhang, and Q. K. Xue, Adv. Mater. , 2011, 23: 2929, http://dx.doi.org/10.1002/adma.201100678 doi: 10.1002/adma.201100678
|
60 |
J. G. Analytis, J. H. Chu, Y. Chen, F. Corredor, R. D. Mc-Donald, Z. X. Shen, and I. R. Fisher, Phys. Rev. B , 2010, 81: 205407 doi: 10.1103/PhysRevB.81.205407
|
61 |
R. A. Hein and E. M. Swiggard, Phys. Rev. Lett. , 1970, 24: 53 doi: 10.1103/PhysRevLett.24.53
|
62 |
C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Rev. Mod. Phys. , 2008, 80: 1083 doi: 10.1103/RevModPhys.80.1083
|
63 |
D. P. Spitzer and J. A. Sykes, J. Appl. Phys. , 1966, 37: 1563 doi: 10.1063/1.1708568
|
64 |
K. Chrissafis, E. S. Vinga, K. M. Paraskevopoulos, and E. K. Polychroniadis, Physica Status Solidi (a) , 2003, 196: 515 doi: 10.1002/pssa.200306443
|
65 |
K. Kurosaki, A. Kosuga, and S. Yamanaka, J. Alloys Comp. , 2003, 351: 279
|
66 |
K. Kurosaki, H. Uneda, H. Muta, and S. Yamanaka, J. Alloys Comp. , 2004, 376: 43
|
67 |
K. F. Hsu, S. Loo, F. Guo, W. Chen, J. S. Dyck, C. Uher, T. Hogan, E. K. Polychroniadis, and M. G. Kanatzidis, Science , 2004, 303: 818 doi: 10.1126/science.1092963
|
68 |
K. Hoang and S. D. Mahanti, Phys. Rev. B , 2008, 77: 205107 doi: 10.1103/PhysRevB.77.205107
|
69 |
J. Analytis, R. McDonald, S. Riggs, J. Chu, G. Boebinger, and I. Fisher, Nat. Phys. , 2010, 6: 960 doi: 10.1038/nphys1861
|
70 |
Z. Ren, A. A. Taskin, S. Sasaki, K. Segawa, and Y. Ando, Phys. Rev. B , 2010, 82: 241306 doi: 10.1103/PhysRevB.82.241306
|
71 |
C. Brüne, C. X. Liu, E.G. Novik, E.M. Hankiewicz, H. Buhmann, Y. L. Chen, X. L. Qi, Z. X. Shen, S. C. Zhang, and L. W. Molenkamp, Phys. Rev. Lett. , 2011, 106: 126803 doi: 10.1103/PhysRevLett.106.126803
|
72 |
R. Yu, W. Zhang, H. J. Zhang, S. C. Zhang, X. Dai, and Z. Fang, Science , 2010, 329: 61 doi: 10.1126/science.1187485
|
73 |
F. Wilczek, Nat. Phys. , 2009, 5: 614 doi: 10.1038/nphys1380
|
74 |
X. L. Qi, T. L. Hughes, and S. C. Zhang, Phys. Rev. B , 2010, 81: 134508 doi: 10.1103/PhysRevB.81.134508
|
75 |
A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, Phys. Rev. B , 2008, 78: 195125 doi: 10.1103/PhysRevB.78.195125
|
76 |
A. Nishide, A. A. Taskin, Y. Takeichi, T. Okuda, A. Kakizaki, T. Hirahara, K. Nakatsuji, F. Komori, Y. Ando, and I. Matsuda, Phys. Rev. B , 2010, 81: 041309(R) doi: 10.1103/PhysRevB.81.041309
|
77 |
Y. Y. Li, G. Wang, X. G. Zhu, M. H. Liu, C. Ye, X. Chen, Y. Y. Wang, K. He, L. L. Wang, X. C. Ma, H. J. Zhang, X. Dai, Z. Fang, X. C. Xie, Y. Liu, X. L. Qi, J. F. Jia, S. C. Zhang, and Q. K. Xue, Adv. Mater. , 2010, 22: 4002
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