1 Hall E H. On a new action of the magnet on electric currents. Amer J Math, 1879, 2: 287-292
[2]
2 Klitzing K V, Dorda G, Peper M. New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance. Phys Rev Lett, 1980, 45: 494-497
[3]
8 Nagaosa N, Sinova J, Onoda S, et al. Anomalous Hall effect. Rev Mod Phys, 2010, 82: 1539-1592
[4]
9 Hasan M Z, Kane C L. Topological insulators. Rev Mod Phys, 2010, 82: 3045-2067
[5]
10 Qi X L, Zhang S C. Topological insulators and superconductors. Rev Mod Phys, 2011, 83: 1057-1110
[6]
11 Zuti？ I, Fabian J, Das Sarma S. Spintronics: Fundamentals and applications. Rev Mod Phys, 2004, 76: 323-410
[7]
12 Kane C L, Mele E J. Quantum spin Hall effect in graphene. Phys Rev Lett, 2005, 95: 226801
[8]
13 Kane C L, Mele E J. Z2 topological order and the quantum spin Hall effect. Phys Rev Lett, 2005, 95: 146802
[9]
14 Bernevig B A, Zhang S C. Quantum spin Hall effect. Phys Rev Lett, 2006, 96: 106802
[10]
15 Yao Y, Ye F, Qi X L, et al. Spin-orbit gap of graphene: First-principles calculations. Phys Rev B, 2007, 75: 041401(R)
[11]
16 Min H, Hill J E, Sinitsyn N A, et al. Intrinsic and Rashba spin-orbit interactions in graphene sheets. Phys Rev B, 2006, 74: 165310
[12]
17 Bernevig B A, Hughes T L, Zhang S C. Quantum spin Hall effect and topological phase transition in HgTe quantum wells. Science, 2006, 314: 1757-1761
[13]
18 K？nig M, Wiedmann S, Brüne C, et al. Quantum spin Hall insulator state in HgTe quantum wells. Science, 2007, 318: 766-770
[14]
19 Roth A, Brüne C, Buhmann H, et al. Nonlocal transport in the quantum spin Hall state. Science, 2009, 325: 294-297
[15]
20 Liu C X, Hughes T L, Qi X L, et al. Quantum spin Hall effect in inverted type-Ⅱ semiconductors. Phys Rev Lett, 2008, 100: 236601
[16]
21 Knez I, Du R R, Sullivan G. Evidence for helical edge modes in inverted InAs/GaSb quantum wells. Phys Rev Lett, 2011, 107: 136603
[17]
22 Fu L, Kane C L, Mele E J. Topological insulators in three dimensions. Phys Rev Lett, 2007, 98: 106803
[18]
23 Moore J E, Balents L. Topological invariants of time-reversal-invariant band structures. Phys Rev B, 2007, 75: 121306(R)
[19]
24 Roy R. Topological phases and the quantum spin Hall effect in three dimensions. Phys Rev B, 2009, 79: 195322
[20]
26 Hsieh D, Qian D, Wray L, et al. A topological Dirac insulator in a quantum spin Hall phase. Nature, 2008, 452: 970-974
[21]
27 Zhang H, Liu C X, Qi X L, et al. Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface. Nat Phys, 2009, 5: 438-442
[22]
28 Xia Y, Qian D, Hsieh D, et al. Observation of a large-gap topological-insulator class with a single Dirac cone on the surface. Nat Phys, 2009, 5: 398-402
[23]
29 Chen Y L, Analytis J G, Chu J H, et al. Experimental realization of a three-dimensional topological insulator, Bi2Te3. Science, 2009, 325: 178-181
[24]
31 Song C L, Wang Y L, Jiang Y P, et al. Topological insulator Bi2Se3 thin films grown on double-layer graphene by molecular beam epitaxy. Appl Phys Lett, 2010, 97: 143118
[25]
32 Zhang Y, He K, Chang C Z, et al. Crossover of the three-dimensional topological insulator Bi2Se3 to the two-dimensional limit. Nat Phys, 2010, 6: 584-588
[26]
39 Liu C X, Qi X L, Dai X, et al. Quantum anomalous Hall effect in Hg1-yMnyTe quantum wells. Phys Rev Lett, 2008, 101: 146802
[27]
43 Dietl T, Ohno H, Matsukura F, et al. Zener model description of ferromagnetism in zinc-blende magnetic semiconductors. Science, 2000, 287: 1019-1022
[28]
46 Buhmann H. Towards the quantum anomalous Hall effect in HgMnTe. Bull Amer Phys Soc, 2012, 57: P27.1
[29]
47 Chien Y J. Transition metal-doped Sb2Te3 and Bi2Te3 diluted magnetic semiconductors. Dissertation of Doctoral Degree. Michigan: University of Michigan, 2007
[30]
48 Hor Y S, Roushan P, Beidenkopf H, et al. Development of ferromagnetism in the doped topological insulator Bi2-xMnxTe3. Phys Rev B, 2010, 81: 195203
[31]
49 Chen Y L, Chu J H, Analytis J G, et al. Massive Dirac fermion on the surface of a magnetically doped topological insulator. Science, 2010, 329: 659-662
[32]
50 Xu S Y, Neupane M, Liu C, et al. Hedgehog spin texture and Berry's phase tuning in a magnetic topological insulator. Nat Phys, 2012, 8: 616-622
[33]
51 Checkelsky J G, Ye J, Onose Y, et al. Dirac-Fermion-mediated ferromagnetism in a topological insulator. Nat Phys, 2012, 8: 729-733
[34]
52 Chang C Z, Zhang J, Liu M, et al. Thin films of magnetically doped topological insulator with carrier-independent long-range ferromagnetic order. Adv Mater, 2013, 25: 1065-1070
[35]
53 Chang C Z, Tang P, Wang Y L, et al. Chemical-potential-dependent gap opening at the Dirac surface states of Bi2Se3 induced by aggregated substitutional Cr atoms. Phys Rev Lett, 2014, 112: 056801
[36]
59 Wang J, Lian B, Zhang H, et al. Quantum anomalous Hall effect with higher plateaus. Phys Rev Lett, 2013, 111: 136801
[37]
60 Xu G, Weng H, Wang Z, et al. Chern semimetal and the quantized anomalous Hall effect in HgCr2Se4. Phys Rev Lett, 2010, 107: 186806
[38]
61 Wan X, Turner A M, Vishwanath A, et al. Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates. Phys Rev B, 2011, 83: 205101
[39]
62 Burkov A A, Balents L. Weyl semimetal in a topological insulator multilayer. Phys Rev Lett, 2011, 107: 127205
[40]
3 Tsui D C, Stormer H L, Gossard A C. Two-dimensional magnetotransport in the extreme quantum limit. Phys Rev Lett, 1982, 48: 1559-1562
[41]
4 Avron J E, Osadchy D, Seiler R. A topological look at the quantum Hall effect. Phys Today, 2003, 56: 38-42
[42]
5 Thouless D J, Kohmoto M, Nightingale M P, et al. Quantized Hall conductance in a two-dimensional periodic potential. Phys Rev Lett, 1982, 49: 405-408
[43]
6 Haldane F D M. Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the "parity anomaly". Phys Rev Lett, 1988, 61: 2015-2018
[44]
7 Hall E H. On the "rotational coefficient" in nickel and cobalt. Philo Mag, 1881, 12: 157-172
[45]
25 Fu L, Kane C L. Topological insulators with inversion symmetry. Phys Rev B, 2007, 76: 045302
[46]
30 Li Y Y, Wang G, Zhu X G, et al. Intrinsic topological insulator Bi2Te3 thin films on Si and their thickness limit. Adv Mater, 2010, 22: 4002-4007
[47]
33 Wang G, Zhu X G, Wen J, et al. Atomically smooth ultrathin films of topological insulator Sb2Te3. Nano Res, 2010, 3: 874-880
[48]
34 Liu C X, Zhang H J, Yan B H, et al. Oscillatory crossover from two-dimensional to three-dimensional topological insulators. Phys Rev B, 2010, 81: 041307
[49]
35 Dai X, Hughes T L, Qi X L, et al. Helical edge and surface states in HgTe quantum wells and bulk insulators. Phys Rev B, 2008, 77: 125319
[50]
36 Brüne C, Liu C X, Novik E G, et al. Quantum Hall effect from the topological surface states of strained bulk HgTe. Phys Rev Lett, 2011, 106: 126803
[51]
37 Yan B, Zhang S C. Topological materials. Rep Prog Phys, 2012, 75: 096501
[52]
38 Qi X L, Wu Y S, Zhang S C. Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors. Phys Rev B, 2006, 74: 085308
[53]
40 Qi X L, Hughes T L, Zhang S C. Topological field theory of time-reversal invariant insulators. Phys Rev B, 2008, 78: 195424
[54]
41 Yu R, Zhang W, Zhang H, et al. Quantized anomalous Hall effect in magnetic topological insulators. Science, 2010, 329: 61-64
[55]
42 Nomura K, Nagaosa N. Surface-quantized anomalous Hall current and the magnetoelectric effect in magnetically disordered topological insulators. Phys Rev Lett, 2011, 106: 166802
[56]
44 Ohno H. Making nonmagnetic semiconductors ferromagnetic. Science, 1998, 281: 951-956
[57]
45 Liu Q, Liu C X, Xu C, et al. Magnetic impurities on the surface of a topological insulator. Phys Rev Lett, 2009, 102: 156603
[58]
54 Zhang J, Chang C Z, Tang P Z, et al. Topology-driven magnetic quantum phase transition in topological insulators. Science, 2013, 339: 1582-1586
[59]
55 Zhang J, Chang C Z, Zhang Z C, et al. Band structure engineering in (Bi1-xSbx)2Te3 ternary topological insulators. Nat Commun, 2011, 2: 574
[60]
56 Kong D, Chen Y, Cha J J, et al. Ambipolar field effect in the ternary topological insulator (BixSb1-x)2Te3 by composition tuning. Nat Nanotechnol, 2011, 6: 705-709
[61]
57 Chen J, Qin H J, Yang F, et al. Gate-voltage control of chemical potential and weak antilocalization in Bi2Se3. Phys Rev Lett, 2010, 105:176602
[62]
58 Chang C Z, Zhang J, Feng X, et al. Experimental observation of the quantum anomalous hall effect in a magnetic topological insulator. Science, 2013, 340: 167-170
