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Volumn 84, Issue 7, 2011, Pages

Equivalent expression of Z2 topological invariant for band insulators using the non-Abelian Berry connection

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EID: 80052421035     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.075119     Document Type: Article
Times cited : (952)

References (53)
  • 1
    • 0000840903 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.23.5632
    • R. B. Laughlin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.23.5632 23, 5632 (1981).
    • (1981) Phys. Rev. B , vol.23 , pp. 5632
    • Laughlin, R.B.1
  • 3
    • 28844477796 scopus 로고    scopus 로고
    • 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
  • 4
    • 28844477796 scopus 로고    scopus 로고
    • 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
  • 5
    • 33947696243 scopus 로고    scopus 로고
    • 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
  • 6
    • 67649407761 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.79.195322
    • R. Roy, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.195322 79, 195322 (2009).
    • (2009) Phys. Rev. B , vol.79 , pp. 195322
    • Roy, R.1
  • 8
    • 33644917486 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.96.106802
    • B. A. Bernevig and S. C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.106802 96, 106802 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 106802
    • Bernevig, B.A.1    Zhang, S.C.2
  • 9
    • 33644910778 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.96.106401
    • C. Wu, B. A. Bernevig, and S. C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.106401 96, 106401 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 106401
    • Wu, C.1    Bernevig, B.A.2    Zhang, S.C.3
  • 10
  • 13
    • 33845708953 scopus 로고    scopus 로고
    • 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. 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
  • 15
    • 33847795859 scopus 로고    scopus 로고
    • 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
  • 16
    • 34347373900 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.76.045302
    • L. Fu and C. L. Kane, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76. 045302 76, 045302 (2007).
    • (2007) Phys. Rev. B , vol.76 , pp. 045302
    • Fu, L.1    Kane, C.L.2
  • 17
    • 48449097034 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.78.045426
    • J. C. Y. Teo, L. Fu, and C. L. Kane, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.045426 78, 045426 (2008).
    • (2008) Phys. Rev. B , vol.78 , pp. 045426
    • Teo, J.C.Y.1    Fu, L.2    Kane, C.L.3
  • 18
    • 34547415682 scopus 로고    scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.76.053702
    • T. Fukui and Y. Hatsugai, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.76.053702 76, 053702 (2007).
    • (2007) J. Phys. Soc. Jpn. , vol.76 , pp. 053702
    • Fukui, T.1    Hatsugai, Y.2
  • 19
    • 63849244620 scopus 로고    scopus 로고
    • JUPSAU 1745-2473 10.1038/nphys1220
    • Y. Ran, Y. Zhang, and A. Vishwanath, Nat. Phys. JUPSAU 1745-2473 10.1038/nphys1220 5, 298 (2009).
    • (2009) Nat. Phys. , vol.5 , pp. 298
    • Ran, Y.1    Zhang, Y.2    Vishwanath, A.3
  • 22
    • 42949106486 scopus 로고    scopus 로고
    • 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
  • 27
    • 80052415056 scopus 로고    scopus 로고
    • S. Shen, e-print arXiv: 0909.4125
    • S. Shen, e-print arXiv: 0909.4125.
  • 30
    • 78349239882 scopus 로고    scopus 로고
    • 0034-6861 10.1103/RevModPhys.82.3045
    • M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 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
  • 31
    • 77952329302 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/12/4/043048
    • W. Shan, H. Lu, and S. Shen, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/4/043048 12, 043048 (2010).
    • (2010) New J. Phys. , vol.12 , pp. 043048
    • Shan, W.1    Lu, H.2    Shen, S.3
  • 33
    • 80052425505 scopus 로고    scopus 로고
    • Z. Alpichshev, J. G. Analytis, J. H. Chu, I. R. Fisher, and A. Kapitulnik, e-print arXiv: 1003.2233
    • Z. Alpichshev, J. G. Analytis, J. H. Chu, I. R. Fisher, and A. Kapitulnik, e-print arXiv: 1003.2233.
  • 34
    • 77954721054 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.80.245439
    • W. C. Lee, C. Wu, D. P. Arovas, and S. C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.245439 80, 245439 (2009).
    • (2009) Phys. Rev. B , vol.80 , pp. 245439
    • Lee, W.C.1    Wu, C.2    Arovas, D.P.3    Zhang, S.C.4
  • 37
    • 77954626071 scopus 로고    scopus 로고
    • 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
  • 38
    • 77954647364 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.81.041102
    • H. M. Guo and M. Franz, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.041102 81, 041102 (2010).
    • (2010) Phys. Rev. B , vol.81 , pp. 041102
    • Guo, H.M.1    Franz, M.2
  • 41
    • 21644459893 scopus 로고    scopus 로고
    • Chern numbers in discretized Brillouin zone: Efficient method of computing (spin) Hall conductances
    • DOI 10.1143/JPSJ.74.1674
    • T. Fukui, Y. Hatsugai, and H. Suzuki, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.74.1674 74, 1674 (2005). (Pubitemid 40935162)
    • (2005) Journal of the Physical Society of Japan , vol.74 , Issue.6 , pp. 1674-1677
    • Fukui, T.1    Hatsugai, Y.2    Suzuki, H.3
  • 43
    • 3543103556 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.47.1651
    • R. D. King-Smith and D. Vanderbilt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.47.1651 47, 1651 (1993).
    • (1993) Phys. Rev. B , vol.47 , pp. 1651
    • King-Smith, R.D.1    Vanderbilt, D.2
  • 44
    • 33644561837 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.27.6083
    • D. J. Thouless, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.27.6083 27, 6083 (1983).
    • (1983) Phys. Rev. B , vol.27 , pp. 6083
    • Thouless, D.J.1
  • 45
    • 0000521669 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.26.4269
    • S. Kivelson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.26.4269 26, 4269 (1982).
    • (1982) Phys. Rev. B , vol.26 , pp. 4269
    • Kivelson, S.1
  • 47
    • 0000954431 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.25.6367
    • A. Kobayashi, O. F. Sankey, and J. D. Dow, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.25.6367 25, 6367 (1982).
    • (1982) Phys. Rev. B , vol.25 , pp. 6367
    • Kobayashi, A.1    Sankey, O.F.2    Dow, J.D.3
  • 49
    • 77955081319 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/12/6/065013
    • W. Zhang, R. Yu, H. Zhang, X. Dai, and Z. Fang, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/6/065013 12, 065013 (2010).
    • (2010) New J. Phys. , vol.12 , pp. 065013
    • Zhang, W.1    Yu, R.2    Zhang, H.3    Dai, X.4    Fang, Z.5
  • 50
    • 33845290260 scopus 로고    scopus 로고
    • Quantum spin hall effect and enhanced magnetic response by spin-orbit coupling
    • DOI 10.1103/PhysRevLett.97.236805
    • S. Murakami, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97. 236805 97, 236805 (2006). (Pubitemid 44879213)
    • (2006) Physical Review Letters , vol.97 , Issue.23 , pp. 236805
    • Murakami, S.1
  • 51
    • 0000973084 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.52.1566
    • Y. Liu and R. E. Allen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.52.1566 52, 1566 (1995).
    • (1995) Phys. Rev. B , vol.52 , pp. 1566
    • Liu, Y.1    Allen, R.E.2
  • 52
    • 79551589803 scopus 로고    scopus 로고
    • 1098-0121 10.1103/PhysRevB.83.035108
    • A. A. Soluyanov and D. Vanderbilt, Phys. Rev. B 1098-0121 10.1103/PhysRevB.83.035108 83, 035108 (2011).
    • (2011) Phys. Rev. B , vol.83 , pp. 035108
    • Soluyanov, A.A.1    Vanderbilt, D.2
  • 53
    • 79961177992 scopus 로고    scopus 로고
    • 1098-0121 10.1103/PhysRevB.83.245115
    • Z. Ringel and Y. E. Kraus, Phys. Rev. B 1098-0121 10.1103/PhysRevB.83. 245115 83, 245115 (2011).
    • (2011) Phys. Rev. B , vol.83 , pp. 245115
    • Ringel, Z.1    Kraus, Y.E.2


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