-
1
-
-
33747116969
-
Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
-
DOI 10.1103/PhysRevB.74.085308
-
X. L. Qi, Y. S. Wu, and S. C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.085308 74, 085308 (2006). (Pubitemid 44223171)
-
(2006)
Physical Review B - Condensed Matter and Materials Physics
, vol.74
, Issue.8
, pp. 085308
-
-
Qi, X.-L.1
Wu, Y.-S.2
Zhang, S.-C.3
-
2
-
-
28844477796
-
Quantum Spin hall effect in graphene
-
DOI 10.1103/PhysRevLett.95.226801, 226801
-
C. L. Kane and E. J. Mele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.226801 95, 226801 (2005). (Pubitemid 41776999)
-
(2005)
Physical Review Letters
, vol.95
, Issue.22
, pp. 1-4
-
-
Kane, C.L.1
Mele, E.J.2
-
3
-
-
28844477210
-
Z2 topological order and the quantum spin hall effect
-
DOI 10.1103/PhysRevLett.95.146802, 146802
-
C. L. Kane and E. J. Mele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.146802 95, 146802 (2005). (Pubitemid 41777602)
-
(2005)
Physical Review Letters
, vol.95
, Issue.14
, pp. 1-4
-
-
Kane, C.L.1
Mele, E.J.2
-
4
-
-
33845708953
-
Quantum spin hall effect and topological phase transition in HgTe quantum wells
-
DOI 10.1126/science.1133734
-
B. A. Bernevig, T. L. Hughes, and S.-C. Zhang, Science SCIEAS 0036-8075 10.1126/science.1133734 314, 1757 (2006). (Pubitemid 44969083)
-
(2006)
Science
, vol.314
, Issue.5806
, pp. 1757-1761
-
-
Bernevig, B.A.1
Hughes, T.L.2
Zhang, S.-C.3
-
6
-
-
33947696243
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.75.121306
-
J. E. Moore and L. Balents, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.121306 75, 121306 (2007).
-
(2007)
Phys. Rev. B
, vol.75
, pp. 121306
-
-
Moore, J.E.1
Balents, L.2
-
7
-
-
38949129028
-
Quantum spin hall insulator state in HgTe quantum wells
-
DOI 10.1126/science.1148047
-
M. König, S. Wiedmann, C. Brüne, A. Roth, H. Buhmann, L. Molenkamp, X.-L. Qi, and S.-C. Zhang, Science SCIEAS 0036-8075 10.1126/science.1148047 318, 766 (2007). (Pubitemid 351411764)
-
(2007)
Science
, vol.318
, Issue.5851
, pp. 766-770
-
-
Konig, M.1
Wiedmann, S.2
Brune, C.3
Roth, A.4
Buhmann, H.5
Molenkamp, L.W.6
Qi, X.-L.7
Zhang, S.-C.8
-
8
-
-
33847795859
-
Topological insulators in three dimensions
-
DOI 10.1103/PhysRevLett.98.106803
-
L. Fu, C. L. Kane, and E. J. Mele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.106803 98, 106803 (2007). (Pubitemid 46393379)
-
(2007)
Physical Review Letters
, vol.98
, Issue.10
, pp. 106803
-
-
Fu, L.1
Kane, C.L.2
Mele, E.J.3
-
9
-
-
42949106486
-
A topological Dirac insulator in a quantum spin Hall phase
-
DOI 10.1038/nature06843, PII NATURE06843
-
D. Hsieh, D. Qian, L. Wray, Y. Xia, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Nature (London) NATUAS 0028-0836 10.1038/nature06843 452, 970 (2008). (Pubitemid 351606144)
-
(2008)
Nature
, vol.452
, Issue.7190
, pp. 970-974
-
-
Hsieh, D.1
Qian, D.2
Wray, L.3
Xia, Y.4
Hor, Y.S.5
Cava, R.J.6
Hasan, M.Z.7
-
10
-
-
69349084799
-
-
NATUAS 0028-0836 10.1038/nature08234
-
D. Hsieh, Y. Xia, D. Qian, L. Wray, J. H. Dil, F. Meier, L. Patthey, J. Osterwalder, A. Fedorov, A. B. H. Lin, D. Grauer, Y. Hor, R. Cava, and M. Hasan, Nature (London) NATUAS 0028-0836 10.1038/nature08234 460, 1101 (2009).
-
(2009)
Nature (London)
, vol.460
, pp. 1101
-
-
Hsieh, D.1
Xia, Y.2
Qian, D.3
Wray, L.4
Dil, J.H.5
Meier, F.6
Patthey, L.7
Osterwalder, J.8
Fedorov, A.9
Lin, A.B.H.10
Grauer, D.11
Hor, Y.12
Cava, R.13
Hasan, M.14
-
11
-
-
67650260772
-
-
1745-2473 10.1038/nphys1270
-
H. Zhang, C.-X. Liu, X.-L. Qi, X. Dai, Z. Fang, and S.-C. Zhang, Nat. Phys. 1745-2473 10.1038/nphys1270 5, 438 (2009).
-
(2009)
Nat. Phys.
, vol.5
, pp. 438
-
-
Zhang, H.1
Liu, C.-X.2
Qi, X.-L.3
Dai, X.4
Fang, Z.5
Zhang, S.-C.6
-
12
-
-
67650445634
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.102.156603
-
Q. Liu, C.-X. Liu, C. Xu, X.-L. Qi, and S.-C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.156603 102, 156603 (2009).
-
(2009)
Phys. Rev. Lett.
, vol.102
, pp. 156603
-
-
Liu, Q.1
Liu, C.-X.2
Xu, C.3
Qi, X.-L.4
Zhang, S.-C.5
-
13
-
-
77954626071
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.80.245317
-
X. Zhou, C. Fang, W.-F. Tsai, and J.-P. Hu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.245317 80, 245317 (2009).
-
(2009)
Phys. Rev. B
, vol.80
, pp. 245317
-
-
Zhou, X.1
Fang, C.2
Tsai, W.-F.3
Hu, J.-P.4
-
14
-
-
77957934894
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.105.166402
-
H. Yao and S. A. Kivelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.166402 105, 166402 (2010).
-
(2010)
Phys. Rev. Lett.
, vol.105
, pp. 166402
-
-
Yao, H.1
Kivelson, S.A.2
-
16
-
-
80054934761
-
-
RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
-
X. L. Qi and S. C. Zhang, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.1057 83, 1057 (2011).
-
(2011)
Rev. Mod. Phys.
, vol.83
, pp. 1057
-
-
Qi, X.L.1
Zhang, S.C.2
-
17
-
-
84355161511
-
-
1745-2473 10.1038/nphys2134
-
K. Sun, W. V. Liu, A. Hemmerich, and S. Das Sarma, Nat. Phys. 1745-2473 10.1038/nphys2134 8, 67 (2011).
-
(2011)
Nat. Phys.
, vol.8
, pp. 67
-
-
Sun, K.1
Liu, W.V.2
Hemmerich, A.3
Das Sarma, S.4
-
18
-
-
79961101526
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.83.205101
-
X. Wan, A. M. Turner, A. Vishwanath, and S. Y. Savrasov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.205101 83, 205101 (2011).
-
(2011)
Phys. Rev. B
, vol.83
, pp. 205101
-
-
Wan, X.1
Turner, A.M.2
Vishwanath, A.3
Savrasov, S.Y.4
-
19
-
-
80155200985
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.107.186806
-
G. Xu, H. Weng, Z. Wang, X. Dai, and Z. Fang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.186806 107, 186806 (2011).
-
(2011)
Phys. Rev. Lett.
, vol.107
, pp. 186806
-
-
Xu, G.1
Weng, H.2
Wang, Z.3
Dai, X.4
Fang, Z.5
-
20
-
-
84862999202
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.108.266802
-
C. Fang, M. J. Gilbert, X. Dai, and B. A. Bernevig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.266802 108, 266802 (2012).
-
(2012)
Phys. Rev. Lett.
, vol.108
, pp. 266802
-
-
Fang, C.1
Gilbert, M.J.2
Dai, X.3
Bernevig, B.A.4
-
21
-
-
84856418433
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.85.035103
-
G. B. Halász and L. Balents, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.035103 85, 035103 (2012).
-
(2012)
Phys. Rev. B
, vol.85
, pp. 035103
-
-
Halász, G.B.1
Balents, L.2
-
23
-
-
3442880129
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.49.405
-
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.49.405 49, 405 (1982).
-
(1982)
Phys. Rev. Lett.
, vol.49
, pp. 405
-
-
Thouless, D.J.1
Kohmoto, M.2
Nightingale, M.P.3
Den Nijs, M.4
-
24
-
-
0000783193
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.61.2015
-
F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 61.2015 61, 2015 (1988).
-
(1988)
Phys. Rev. Lett.
, vol.61
, pp. 2015
-
-
Haldane, F.D.M.1
-
25
-
-
57249108445
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.78.195424
-
X.-L. Qi, T. L. Hughes, and S.-C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.195424 78, 195424 (2008).
-
(2008)
Phys. Rev. B
, vol.78
, pp. 195424
-
-
Qi, X.-L.1
Hughes, T.L.2
Zhang, S.-C.3
-
26
-
-
78349239882
-
-
RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
-
M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.3045 82, 3045 (2010).
-
(2010)
Rev. Mod. Phys.
, vol.82
, pp. 3045
-
-
Hasan, M.Z.1
Kane, C.L.2
-
27
-
-
57249110726
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.78.195125
-
A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.195125 78, 195125 (2008).
-
(2008)
Phys. Rev. B
, vol.78
, pp. 195125
-
-
Schnyder, A.P.1
Ryu, S.2
Furusaki, A.3
Ludwig, A.W.W.4
-
28
-
-
84862692461
-
-
1098-0121 10.1103/PhysRevB.85.045104
-
S. Ryu, J. E. Moore, and A. W. W. Ludwig, Phys. Rev. B 1098-0121 10.1103/PhysRevB.85.045104 85, 045104 (2012).
-
(2012)
Phys. Rev. B
, vol.85
, pp. 045104
-
-
Ryu, S.1
Moore, J.E.2
Ludwig, A.W.W.3
-
30
-
-
33746396593
-
General theorem relating the bulk topological number to edge states in two-dimensional insulators
-
DOI 10.1103/PhysRevB.74.045125
-
X.L. Qi, Y. S. Wu, and S. C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.045125 74, 045125 (2006). (Pubitemid 44128419)
-
(2006)
Physical Review B - Condensed Matter and Materials Physics
, vol.74
, Issue.4
, pp. 045125
-
-
Qi, X.-L.1
Wu, Y.-S.2
Zhang, S.-C.3
-
31
-
-
82655166265
-
-
1098-0121 10.1103/PhysRevB.84.205136
-
A. Chandran, M. Hermanns, N. Regnault, and B. A. Bernevig, Phys. Rev. B 1098-0121 10.1103/PhysRevB.84.205136 84, 205136 (2011).
-
(2011)
Phys. Rev. B
, vol.84
, pp. 205136
-
-
Chandran, A.1
Hermanns, M.2
Regnault, N.3
Bernevig, B.A.4
-
32
-
-
79952420794
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.106.106802
-
L. Fu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.106802 106, 106802 (2011).
-
(2011)
Phys. Rev. Lett.
, vol.106
, pp. 106802
-
-
Fu, L.1
-
33
-
-
79961239559
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.83.245132
-
T. L. Hughes, E. Prodan, and B. A. Bernevig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.245132 83, 245132 (2011).
-
(2011)
Phys. Rev. B
, vol.83
, pp. 245132
-
-
Hughes, T.L.1
Prodan, E.2
Bernevig, B.A.3
-
34
-
-
84872944960
-
-
A. Alexandradinata, X. Dai, and B. A. Bernevig, arXiv: 1208.4234
-
A. Alexandradinata, X. Dai, and B. A. Bernevig, arXiv: 1208.4234.
-
-
-
-
35
-
-
84860296446
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.85.165120
-
A. M. Turner, Y. Zhang, R. S. K. Mong, and A. Vishwanath, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.165120 85, 165120 (2012).
-
(2012)
Phys. Rev. B
, vol.85
, pp. 165120
-
-
Turner, A.M.1
Zhang, Y.2
Mong, R.S.K.3
Vishwanath, A.4
-
36
-
-
46949084674
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504
-
H. Li and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504 101, 010504 (2008).
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 010504
-
-
Li, H.1
Haldane, F.D.M.2
-
37
-
-
77956533345
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.105.116805
-
R. Thomale, D. P. Arovas, and B. A. Bernevig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.116805 105, 116805 (2010).
-
(2010)
Phys. Rev. Lett.
, vol.105
, pp. 116805
-
-
Thomale, R.1
Arovas, D.P.2
Bernevig, B.A.3
-
38
-
-
77956389004
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.105.115501
-
E. Prodan, T. L. Hughes, and B. A. Bernevig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.115501 105, 115501 (2010).
-
(2010)
Phys. Rev. Lett.
, vol.105
, pp. 115501
-
-
Prodan, E.1
Hughes, T.L.2
Bernevig, B.A.3
-
39
-
-
78651255443
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.82.241102
-
A. M. Turner, Y. Zhang, and A. Vishwanath, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.241102 82, 241102 (2010).
-
(2010)
Phys. Rev. B
, vol.82
, pp. 241102
-
-
Turner, A.M.1
Zhang, Y.2
Vishwanath, A.3
-
40
-
-
77954821307
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.81.064439
-
F. Pollmann, A. M. Turner, E. Berg, and M. Oshikawa, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.064439 81, 064439 (2010).
-
(2010)
Phys. Rev. B
, vol.81
, pp. 064439
-
-
Pollmann, F.1
Turner, A.M.2
Berg, E.3
Oshikawa, M.4
-
41
-
-
77950440453
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.104.130502
-
L. Fidkowski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104. 130502 104, 130502 (2010).
-
(2010)
Phys. Rev. Lett.
, vol.104
, pp. 130502
-
-
Fidkowski, L.1
-
42
-
-
0037432902
-
-
1361-6447 10.1088/0305-4470/36/14/101
-
I. Peschel, J. Phys. A 1361-6447 10.1088/0305-4470/36/14/101 36, L205 (1993).
-
(1993)
J. Phys. A
, vol.36
, pp. 205
-
-
Peschel, I.1
-
44
-
-
78149237743
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.82.155138
-
X. Chen, Z.-C. Gu, and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.155138 82, 155138 (2010).
-
(2010)
Phys. Rev. B
, vol.82
, pp. 155138
-
-
Chen, X.1
Gu, Z.-C.2
Wen, X.-G.3
-
45
-
-
33645151438
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.96.110404
-
A. Kitaev and J. Preskill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.110404 96, 110404 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 110404
-
-
Kitaev, A.1
Preskill, J.2
-
47
-
-
77951931788
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.104.180502
-
R. Thomale, A. Sterdyniak, N. Regnault, and B. A. Bernevig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.180502 104, 180502 (2010).
-
(2010)
Phys. Rev. Lett.
, vol.104
, pp. 180502
-
-
Thomale, R.1
Sterdyniak, A.2
Regnault, N.3
Bernevig, B.A.4
-
48
-
-
79961064168
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.83.075102
-
A. M. Turner, F. Pollmann, and E. Berg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.075102 83, 075102 (2011).
-
(2011)
Phys. Rev. B
, vol.83
, pp. 075102
-
-
Turner, A.M.1
Pollmann, F.2
Berg, E.3
-
49
-
-
79961067002
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.83.075103
-
L. Fidkowski and A. Kitaev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.075103 83, 075103 (2011).
-
(2011)
Phys. Rev. B
, vol.83
, pp. 075103
-
-
Fidkowski, L.1
Kitaev, A.2
-
50
-
-
84866432559
-
-
1098-0121 10.1103/PhysRevB.86.125120
-
A. Rosch, Phys. Rev. B 1098-0121 10.1103/PhysRevB.86.125120 86, 125120 (2012).
-
(2012)
Phys. Rev. B
, vol.86
, pp. 125120
-
-
Rosch, A.1
|