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Physical Review Letters

Volumn 110, Issue 6, 2013, Pages

Symmetry-protected quantum spin hall phases in two dimensions

(2) Liu, Zheng Xin a,b Wen, Xiao Gang b,c

a TSINGHUA UNIVERSITY (China)

b MASSACHUSETTS INSTITUTE OF TECHNOLOGY (United States)

c PERIMETER INSTITUTE FOR THEORETICAL PHYSICS (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY EXCITATION; ENTANGLED STATE; HALL CONDUCTANCE; INFINITE NUMBERS; OPEN BOUNDARIES; QUANTUM NUMBERS; QUANTUM SPIN HALLS; SPIN-HALL CONDUCTANCE; TWO-DIMENSION; WESS-ZUMINO-WITTEN TERM;

QUANTUM THEORY;

TOPOLOGY;

EID: 84873425097 PISSN: 00319007 EISSN: 10797114 Source Type: Journal
DOI: 10.1103/PhysRevLett.110.067205 Document Type: Article

Times cited : (94)

References (33)

1
- 78149237743
- PRBMDO 1098-0121 10.1103/PhysRevB.82.155138
- X. Chen, Z.-C. Gu, and X.-G. Wen, Phys. Rev. B 82, 155138 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.155138
- (2010) Phys. Rev. B , vol.82 , pp. 155138
- Chen, X.¹ Gu, Z.-C.² Wen, X.-G.³

2
- 35949019065
- PRLTAO 0031-9007 10.1103/PhysRevLett.48.1559
- D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. Lett. 48, 1559 (1982). PRLTAO 0031-9007 10.1103/PhysRevLett.48.1559
- (1982) Phys. Rev. Lett. , vol.48 , pp. 1559
- Tsui, D.C.¹ Stormer, H.L.² Gossard, A.C.³

3
- 22244440948
- PRLTAO 0031-9007 10.1103/PhysRevLett.50.1395
- R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983). PRLTAO 0031-9007 10.1103/PhysRevLett.50.1395
- (1983) Phys. Rev. Lett. , vol.50 , pp. 1395
- Laughlin, R.B.¹

4
- 3543034352
- PRLTAO 0031-9007 10.1103/PhysRevLett.59.2095
- V. Kalmeyer and R. B. Laughlin, Phys. Rev. Lett. 59, 2095 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.59.2095
- (1987) Phys. Rev. Lett. , vol.59 , pp. 2095
- Kalmeyer, V.¹ Laughlin, R.B.²

5
- 35949009606
- PRBMDO 0163-1829 10.1103/PhysRevB.39.11413 413
- X.-G. Wen, F. Wilczek, and A. Zee, Phys. Rev. B 39, 11 413 (1989). PRBMDO 0163-1829 10.1103/PhysRevB.39.11413
- (1989) Phys. Rev. B , vol.39 , pp. 11
- Wen, X.-G.¹ Wilczek, F.² Zee, A.³

6
- 4243642327
- PRLTAO 0031-9007 10.1103/PhysRevLett.66.1773
- N. Read and S. Sachdev, Phys. Rev. Lett. 66, 1773 (1991). PRLTAO 0031-9007 10.1103/PhysRevLett.66.1773
- (1991) Phys. Rev. Lett. , vol.66 , pp. 1773
- Read, N.¹ Sachdev, S.²

7
- 0002703699
- PRBMDO 0163-1829 10.1103/PhysRevB.44.2664
- X.-G. Wen, Phys. Rev. B 44, 2664 (1991). PRBMDO 0163-1829 10.1103/PhysRevB.44.2664
- (1991) Phys. Rev. B , vol.44 , pp. 2664
- Wen, X.-G.¹

8
- 17144436460
- Resonating valence bond phase in the triangular lattice quantum dimer model
- DOI 10.1103/PhysRevLett.86.1881
- R. Moessner and S. L. Sondhi, Phys. Rev. Lett. 86, 1881 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.1881 (Pubitemid 32252800)
- (2001) Physical Review Letters , vol.86 , Issue.9 , pp. 1881-1884
- Moessner, R.¹ Sondhi, S.L.²

9
- 18344372822
- PYLAAG 0375-9601 10.1016/0375-9601(83)90631-X
- F. D. M. Haldane, Phys. Lett. 93A, 464 (1983). PYLAAG 0375-9601 10.1016/0375-9601(83)90631-X
- (1983) Phys. Lett. , vol.93 , pp. 464
- Haldane, F.D.M.¹

10
- 0009504187
- CMPHAY 0010-3616 10.1007/BF01218021
- I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Commun. Math. Phys. 115, 477 (1988). CMPHAY 0010-3616 10.1007/BF01218021
- (1988) Commun. Math. Phys. , vol.115 , pp. 477
- Affleck, I.¹ Kennedy, T.² Lieb, E.H.³ Tasaki, H.⁴

11
- 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. 95, 146802 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.146802 (Pubitemid 41777602)
- (2005) Physical Review Letters , vol.95 , Issue.14 , pp. 1-4
- Kane, C.L.¹ Mele, E.J.²

12
- 33644917486
- PRLTAO 0031-9007 10.1103/PhysRevLett.96.106802
- B. A. Bernevig and S.-C. Zhang, Phys. Rev. Lett. 96, 106802 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.106802
- (2006) Phys. Rev. Lett. , vol.96 , pp. 106802
- Bernevig, B.A.¹ Zhang, S.-C.²

13
- 33947696243
- PRBMDO 1098-0121 10.1103/PhysRevB.75.121306
- J. E. Moore and L. Balents, Phys. Rev. B 75, 121306(R) (2007). PRBMDO 1098-0121 10.1103/PhysRevB.75.121306
- (2007) Phys. Rev. B , vol.75
- Moore, J.E.¹ Balents, L.²

14
- 33847795859
- Topological insulators in three dimensions
- DOI 10.1103/PhysRevLett.98.106803
- L. Fu, C. L. Kane, and E. J. Mele, Phys. Rev. Lett. 98, 106803 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.106803 (Pubitemid 46393379)
- (2007) Physical Review Letters , vol.98 , Issue.10 , pp. 106803
- Fu, L.¹ Kane, C.L.² Mele, E.J.³

15
- 57249108445
- PRBMDO 1098-0121 10.1103/PhysRevB.78.195424
- X.-L. Qi, T. L. Hughes, and S.-C. Zhang, Phys. Rev. B 78, 195424 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.195424
- (2008) Phys. Rev. B , vol.78 , pp. 195424
- Qi, X.-L.¹ Hughes, T.L.² Zhang, S.-C.³

16
- 28844477796
- Quantum Spin hall effect in graphene
- DOI 10.1103/PhysRevLett.95.226801, 226801
- C. L. Kane and E. J. Mele, Phys. Rev. Lett. 95, 226801 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.226801 (Pubitemid 41776999)
- (2005) Physical Review Letters , vol.95 , Issue.22 , pp. 1-4
- Kane, C.L.¹ Mele, E.J.²

17
- 84871441220
- SCIEAS 0036-8075 10.1126/science.1227224
- X. Chen, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen, Science 338, 1604 (2012); SCIEAS 0036-8075 10.1126/science.1227224
- (2012) Science , vol.338 , pp. 1604
- Chen, X.¹ Gu, Z.-C.² Liu, Z.-X.³ Wen, X.-G.⁴

18
- 84873421203
- X. Chen, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen arXiv:1106.4772
- X. Chen, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen arXiv:1106.4772.

19
- 0000680015
- CMPHAY 0010-3616 10.1007/BF02096988
- R. Dijkgraaf and E. Witten, Commun. Math. Phys. 129, 393 (1990). CMPHAY 0010-3616 10.1007/BF02096988
- (1990) Commun. Math. Phys. , vol.129 , pp. 393
- Dijkgraaf, R.¹ Witten, E.²

20
- 84873426101
- C. Xu and A. W. W. Ludwig, arXiv:1112.5303
- See, for example, C. Xu and A. W. W. Ludwig, arXiv:1112.5303.

21
- 23544448210
- PYLBAJ 0370-2693 10.1016/0370-2693(71)90582-X
- J. Wess and B. Zumino, Phys. Lett. 37B, 95 (1971). PYLBAJ 0370-2693 10.1016/0370-2693(71)90582-X
- (1971) Phys. Lett. , vol.37 , pp. 95
- Wess, J.¹ Zumino, B.²

22
- 33744766063
- NUPBBO 0550-3213 10.1016/0550-3213(83)90063-9
- E. Witten, Nucl. Phys. B223, 422 (1983). NUPBBO 0550-3213 10.1016/0550-3213(83)90063-9
- (1983) Nucl. Phys. , vol.223 , pp. 422
- Witten, E.¹

23
- 0041473823
- CMPHAY 0010-3616 10.1007/BF01215276
- E. Witten, Commun. Math. Phys. 92, 455 (1984). CMPHAY 0010-3616 10.1007/BF01215276
- (1984) Commun. Math. Phys. , vol.92 , pp. 455
- Witten, E.¹

24
- 30244502477
- Related discussions can be seen in I. Affleck and F. D. M. Haldane, Phys. Rev. B 36, 5291 (1987). PRBMDO 0163-1829 10.1103/PhysRevB.36.5291
- (1987) Phys. Rev. B , vol.36 , pp. 5291
- Affleck, I.¹ Haldane, F.D.M.²

25
- 84873467236
- (private communication).
- M. Levin (private communication).
- Levin, M.¹

26
- 84866382683
- PRBMDO 1098-0121 10.1103/PhysRevB.86.125119
- Y.-M. Lu and A. Vishwanath, Phys. Rev. B 86, 125119 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.125119
- (2012) Phys. Rev. B , vol.86 , pp. 125119
- Lu, Y.-M.¹ Vishwanath, A.²

27
- 48549114250
- NUPBBO 0550-3213 10.1016/0550-3213(84)90259-1
- B. Zumino, Y. S. Wu, and A. Zee, Nucl. Phys. B239, 477 (1984). NUPBBO 0550-3213 10.1016/0550-3213(84)90259-1
- (1984) Nucl. Phys. , vol.239 , pp. 477
- Zumino, B.¹ Wu, Y.S.² Zee, A.³

28
- 0001232691
- NUPBBO 0550-3213 10.1016/0550-3213(84)90487-5
- L. Alvarez-Gaume and P. Ginsparg, Nucl. Phys. B243, 449 (1984). NUPBBO 0550-3213 10.1016/0550-3213(84)90487-5
- (1984) Nucl. Phys. , vol.243 , pp. 449
- Alvarez-Gaume, L.¹ Ginsparg, P.²

29
- 84873453003
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.110.067205 for details about Borel group cohomology and topological cohomology, the relation of the θ term and Hopf term, and some details of calculations in the main text.

30
- 0000802327
- PRBMDO 0163-1829 10.1103/PhysRevB.43.11025 025
- X.-G. Wen, Phys. Rev. B 43, 11 025 (1991). PRBMDO 0163-1829 10.1103/PhysRevB.43.11025
- (1991) Phys. Rev. B , vol.43 , pp. 11
- Wen, X.-G.¹

31
- 34247181532
- NUPBBO 0550-3213 10.1016/0550-3213(86)90051-9
- D. Gepner and E. Witten, Nucl. Phys. B278, 493 (1986). NUPBBO 0550-3213 10.1016/0550-3213(86)90051-9
- (1986) Nucl. Phys. , vol.278 , pp. 493
- Gepner, D.¹ Witten, E.²

32
- 0001754210
- PRBMDO 0163-1829 10.1103/PhysRevB.50.555
- T.-K. Ng, Phys. Rev. B 50, 555 (1994). PRBMDO 0163-1829 10.1103/PhysRevB.50.555
- (1994) Phys. Rev. B , vol.50 , pp. 555
- Ng, T.-K.¹

33
- 84866355638
- PRBMDO 1098-0121 10.1103/PhysRevB.86.115109
- M. Levin and Z.-C. Gu, Phys. Rev. B 86, 115109 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.115109
- (2012) Phys. Rev. B , vol.86 , pp. 115109
- Levin, M.¹ Gu, Z.-C.²

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