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Volumn 85, Issue 4, 2012, Pages

Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors

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EID: 84862692461     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.045104     Document Type: Article
Times cited : (339)

References (55)
  • 1
    • 28844477210 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
  • 2
    • 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
  • 3
    • 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
  • 4
    • 35348905692 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.76.165307
    • A. M. Essin and J. E. Moore, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.165307 76, 165307 (2007).
    • (2007) Phys. Rev. B , vol.76 , pp. 165307
    • Essin, A.M.1    Moore, J.E.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
  • 7
    • 0000225270 scopus 로고
    • APNYA6 0003-4916 10.1016/0003-4916(85)90149-6
    • M. Kohmoto, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(85)90149-6 160, 355 (1985).
    • (1985) Ann. Phys. (NY) , vol.160 , pp. 355
    • Kohmoto, M.1
  • 11
    • 0030515852 scopus 로고    scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.531675
    • M. R. Zirnbauer, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.531675 37, 4986 (1996).
    • (1996) J. Math. Phys. , vol.37 , pp. 4986
    • Zirnbauer, M.R.1
  • 12
    • 0000023684 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.55.1142
    • A. Altland and M. R. Zirnbauer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.55.1142 55, 1142 (1997).
    • (1997) Phys. Rev. B , vol.55 , pp. 1142
    • Altland, A.1    Zirnbauer, M.R.2
  • 13
    • 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
  • 18
    • 57249108445 scopus 로고    scopus 로고
    • 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
  • 19
    • 65549133453 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.102.146805
    • A. M. Essin, J. E. Moore, and D. Vanderbilt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.146805 102, 146805 (2009).
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 146805
    • Essin, A.M.1    Moore, J.E.2    Vanderbilt, D.3
  • 20
    • 7444237833 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.58.1799
    • F. Wilczek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.1799 58, 1799 (1987).
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 1799
    • Wilczek, F.1
  • 22
    • 78650032048 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.105.246809
    • See, for example, J. Maciejko, X.-L. Qi, A. Karch, and S.-C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.246809 105, 246809 (2010);
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 246809
    • MacIejko, J.1    Qi, X.-L.2    Karch, A.3    Zhang, S.-C.4
  • 25
    • 77954827655 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.81.045120
    • P. Hosur, S. Ryu, and A. Vishwanath, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.045120 81, 045120 (2010).
    • (2010) Phys. Rev. B , vol.81 , pp. 045120
    • Hosur, P.1    Ryu, S.2    Vishwanath, A.3
  • 26
  • 27
  • 28
    • 65649116620 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.102.196804
    • A. P. Schnyder, S. Ryu, and A. W. W. Ludwig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.196804 102, 196804 (2009).
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 196804
    • Schnyder, A.P.1    Ryu, S.2    Ludwig, A.W.W.3
  • 31
    • 0000144241 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.135.A1505
    • J. M. Luttinger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.135.A1505 135, A1505 (1964).
    • (1964) Phys. Rev. , vol.135 , pp. 1505
    • Luttinger, J.M.1
  • 32
    • 0034339791 scopus 로고    scopus 로고
    • CQGRDG 0264-9381 10.1088/0264-9381/17/19/311
    • S. J. Clark and R. W. Tucker, Class. Quantum Grav. CQGRDG 0264-9381 10.1088/0264-9381/17/19/311 17, 4125 (2000).
    • (2000) Class. Quantum Grav. , vol.17 , pp. 4125
    • Clark, S.J.1    Tucker, R.W.2
  • 36
    • 0000049832 scopus 로고    scopus 로고
    • CQGRDG 1098-0121 10.1103/PhysRevB.61.10267
    • N. Read and Dmitry Green, Phys. Rev. B CQGRDG 1098-0121 10.1103/PhysRevB.61.10267 61, 10267 (2000).
    • (2000) Phys. Rev. B , vol.61 , pp. 10267
    • Read, N.1    Green, D.2
  • 39
    • 41549146655 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.77.144504
    • J. Goryo, M. Kohmoto, and Y.-S. Wu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.144504 77, 144504 (2008).
    • (2008) Phys. Rev. B , vol.77 , pp. 144504
    • Goryo, J.1    Kohmoto, M.2    Wu, Y.-S.3
  • 40
    • 0038201996 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.90.167204
    • F. Meier and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.167204 90, 167204 (2003).
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 167204
    • Meier, F.1    Loss, D.2
  • 41
    • 84863420838 scopus 로고    scopus 로고
    • We will give a brief explanation of the relevant concepts below. See also Refs. 33,35,43, and 54.
    • We will give a brief explanation of the relevant concepts below. See also Refs. 33,35,43, and 54.
  • 42
    • 0002185817 scopus 로고
    • APNYA6 0003-4916 10.1016/0003-4916(85)90087-9
    • L. Alvarez-Gaumé and P. Ginsparg, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(85)90087-9 161, 423 (1985).
    • (1985) Ann. Phys. (NY) , vol.161 , pp. 423
    • Alvarez-Gaumé, L.1    Ginsparg, P.2
  • 43
    • 84863408869 scopus 로고    scopus 로고
    • Z. Wang, X.-L. Qi, and S.-C. Zhang, e-print arXiv: 1011.0586
    • in Z. Wang, X.-L. Qi, and S.-C. Zhang, e-print arXiv: 1011.0586.
  • 44
    • 77956910978 scopus 로고    scopus 로고
    • PYLBAJ 0370-2693 10.1016/j.physletb.2010.08.019
    • S. Ryu and T. Takayanagi, Phys. Lett. B PYLBAJ 0370-2693 10.1016/j.physletb.2010.08.019 693, 175 (2010).
    • (2010) Phys. Lett. B , vol.693 , pp. 175
    • Ryu, S.1    Takayanagi, T.2
  • 45
    • 78650987473 scopus 로고    scopus 로고
    • 1550-7998 10.1103/PhysRevD.82.086014
    • S. Ryu and T. Takayanagi, Phys. Rev. D 1550-7998 10.1103/PhysRevD.82. 086014 82, 086014 (2010).
    • (2010) Phys. Rev. D , vol.82 , pp. 086014
    • Ryu, S.1    Takayanagi, T.2
  • 46
    • 41749121692 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.77.165108
    • M. S. Foster and A. W. W. Ludwig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.165108 77, 165108 (2008).
    • (2008) Phys. Rev. B , vol.77 , pp. 165108
    • Foster, M.S.1    Ludwig, A.W.W.2
  • 47
    • 0010190678 scopus 로고
    • NUPBBO 0550-3213 10.1016/0550-3213(84)90066-X
    • L. Alvarez-Gaumé and E. Witten, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(84)90066-X 234, 269 (1983).
    • (1983) Nucl. Phys. B , vol.234 , pp. 269
    • Alvarez-Gaumé, L.1    Witten, E.2
  • 49
    • 77955948515 scopus 로고    scopus 로고
    • 0031-9007 10.1103/PhysRevLett.105.097001
    • L. Fu and E. Berg, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.105. 097001 105, 097001 (2010).
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 097001
    • Fu, L.1    Berg, E.2
  • 50
    • 77955218335 scopus 로고    scopus 로고
    • 1098-0121 10.1103/PhysRevB.81.134509
    • L. Fidkowski and A. Kitaev, Phys. Rev. B 1098-0121 10.1103/PhysRevB.81. 134509 81, 134509 (2010).
    • (2010) Phys. Rev. B , vol.81 , pp. 134509
    • Fidkowski, L.1    Kitaev, A.2
  • 51
    • 79961067002 scopus 로고    scopus 로고
    • 1098-0121 10.1103/PhysRevB.83.075103
    • L. Fidkowski and A. Kitaev, Phys. Rev. B 1098-0121 10.1103/PhysRevB.83. 075103 83, 075103 (2011).
    • (2011) Phys. Rev. B , vol.83 , pp. 075103
    • Fidkowski, L.1    Kitaev, A.2
  • 52
    • 79961064168 scopus 로고    scopus 로고
    • 1098-0121 10.1103/PhysRevB.83.075102
    • A. M. Turner, F. Pollmann, and E. Berg, Phys. Rev. B 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
  • 53
    • 71449101812 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.80.155131
    • Z.-C. Gu and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.155131 80, 155131 (2009);
    • (2009) Phys. Rev. B , vol.80 , pp. 155131
    • Gu, Z.-C.1    Wen, X.-G.2
  • 54
    • 79551610647 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.83.035107
    • X. Chen, Z.-C. Gu, and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.035107 83, 035107 (2011);
    • (2011) Phys. Rev. B , vol.83 , pp. 035107
    • Chen, X.1    Gu, Z.-C.2    Wen, X.-G.3
  • 55
    • 84863420839 scopus 로고    scopus 로고
    • F. Pollmann, E. Berg, A. M. Turner, and M. Oshikawa, e-print arXiv: 0909.4059
    • F. Pollmann, E. Berg, A. M. Turner, and M. Oshikawa, e-print arXiv: 0909.4059.


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