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Volumn 86, Issue 4, 2012, Pages

Strong side of weak topological insulators

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EID: 84863658963     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.86.045102     Document Type: Article
Times cited : (234)

References (39)
  • 1
    • 78349239882 scopus 로고    scopus 로고
    • 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
  • 2
    • 80054934761 scopus 로고    scopus 로고
    • 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
  • 4
    • 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
  • 5
    • 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
  • 6
    • 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
  • 7
    • 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
  • 8
    • 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
  • 11
    • 35148851472 scopus 로고    scopus 로고
    • Topological delocalization of two-dimensional massless dirac fermions
    • DOI 10.1103/PhysRevLett.99.146806
    • K. Nomura, M. Koshino, and S. Ryu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.146806 99, 146806 (2007). (Pubitemid 47549446)
    • (2007) Physical Review Letters , vol.99 , Issue.14 , pp. 146806
    • Nomura, K.1    Koshino, M.2    Ryu, S.3
  • 13
    • 34548707028 scopus 로고    scopus 로고
    • Z2 topological term, the global anomaly, and the two-dimensional symplectic symmetry class of anderson localization
    • DOI 10.1103/PhysRevLett.99.116601
    • S. Ryu, C. Mudry, H. Obuse, and A. Furusaki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.116601 99, 116601 (2007). (Pubitemid 47438154)
    • (2007) Physical Review Letters , vol.99 , Issue.11 , pp. 116601
    • Ryu, S.1    Mudry, C.2    Obuse, H.3    Furusaki, A.4
  • 15
    • 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
    • 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
  • 18
    • 79961177992 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.83.245115
    • Z. Ringel and Y. E. Kraus, Phys. Rev. B PRBMDO 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
  • 19
    • 0014811334 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.2.109
    • F. Bloch, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.2.109 2, 109 (1970).
    • (1970) Phys. Rev. B , vol.2 , pp. 109
    • Bloch, F.1
  • 20
    • 0002253954 scopus 로고
    • PRPLCM 0370-1573 10.1016/0370-1573(74)90029-5
    • D. J. Thouless, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(74)90029-5 13, 93 (1974).
    • (1974) Phys. Rep. , vol.13 , pp. 93
    • Thouless, D.J.1
  • 22
    • 0004437109 scopus 로고
    • JPSOAW 0022-3719 10.1088/0022-3719/10/23/008
    • B. T. Debney, J. Phys. C: Solid State Phys. JPSOAW 0022-3719 10.1088/0022-3719/10/23/008 10, 4719 (1977).
    • (1977) J. Phys. C: Solid State Phys. , vol.10 , pp. 4719
    • Debney, B.T.1
  • 23
    • 34547575039 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.133.A171
    • W. Kohn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.133.A171 133, A171 (1964).
    • (1964) Phys. Rev. , vol.133 , pp. 171
    • Kohn, W.1
  • 24
    • 0040793613 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.57.287
    • P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.57.287 57, 287 (1985).
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 287
    • Lee, P.A.1    Ramakrishnan, T.V.2
  • 26
    • 0000332572 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.68.642
    • E. Akkermans and G. Montambaux, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.642 68, 642 (1992).
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 642
    • Akkermans, E.1    Montambaux, G.2
  • 28
    • 84863651092 scopus 로고    scopus 로고
    • This correction is of zeroth order in ln(Δ/E)/(Eτ). For first-order corrections, see Ref..
    • This correction is of zeroth order in ln (Δ / E) / (E τ). For first-order corrections, see Ref..
  • 29
    • 33845242289 scopus 로고    scopus 로고
    • Effect of disorder on transport in graphene
    • DOI 10.1103/PhysRevLett.97.236801
    • I. L. Aleiner and K. B. Efetov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.236801 97, 236801 (2006). (Pubitemid 44866621)
    • (2006) Physical Review Letters , vol.97 , Issue.23 , pp. 236801
    • Aleiner, I.L.1    Efetov, K.B.2
  • 32
    • 33847015684 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.98.076802
    • M. Onoda, Y. Avishai, and N. Nagaosa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.076802 98, 076802 (2007).
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 076802
    • Onoda, M.1    Avishai, Y.2    Nagaosa, N.3
  • 33
    • 84857842043 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/92/67004
    • M. B. H. T. A. Loring, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/92/67004 76, 67004 (2010).
    • (2010) Europhys. Lett. , vol.76 , pp. 67004
    • Loring, M.B.H.T.A.1
  • 34
    • 34547585386 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.76.075301
    • H. Obuse, A. Furusaki, S. Ryu, and C. Mudry, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.075301 76, 075301 (2007).
    • (2007) Phys. Rev. B , vol.76 , pp. 075301
    • Obuse, H.1    Furusaki, A.2    Ryu, S.3    Mudry, C.4
  • 35
    • 84863393684 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.108.076804
    • R. S. K. Mong, J. H. Bardarson, and J. E. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.076804 108, 076804 (2012).
    • (2012) Phys. Rev. Lett. , vol.108 , pp. 076804
    • Mong, R.S.K.1    Bardarson, J.H.2    Moore, J.E.3
  • 37
    • 84863651093 scopus 로고    scopus 로고
    • Reference attempts to find the RG flow of the conductance by studying numerically the low-energy Hamiltonian Eq.. This study finds that for any disorder strength, the flow is towards a perfect metal. It is known, however (see, e.g., Ref.), that for intermediate and strong disorder in Dirac Hamiltonians, ultraviolet cutoff effects become important and may alter the conductance considerably. In particular, different cutoffs reflect different topological properties of the 3D bulk, most notably the pairs switching behavior. We believe that the stability of the numerical results to the choice of cutoffs should be investigated before the RG flow of the conductance may be concluded from numerical calculations.
    • Reference attempts to find the RG flow of the conductance by studying numerically the low-energy Hamiltonian Eq.. This study finds that for any disorder strength, the flow is towards a perfect metal. It is known, however (see, e.g., Ref.), that for intermediate and strong disorder in Dirac Hamiltonians, ultraviolet cutoff effects become important and may alter the conductance considerably. In particular, different cutoffs reflect different topological properties of the 3D bulk, most notably the pairs switching behavior. We believe that the stability of the numerical results to the choice of cutoffs should be investigated before the RG flow of the conductance may be concluded from numerical calculations.
  • 38
    • 20144369931 scopus 로고    scopus 로고
    • Conductance of disordered wires with symplectic symmetry: Comparison between odd- and even-channel cases
    • DOI 10.1143/JPSJ.73.2366
    • Y. Takane, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.73.2366 73, 2366 (2004). (Pubitemid 40775338)
    • (2004) Journal of the Physical Society of Japan , vol.73 , Issue.9 , pp. 2366-2369
    • Takane, Y.1
  • 39
    • 33846417281 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.74.235443
    • P. M. Ostrovsky, I. V. Gornyi, and A. D. Mirlin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.235443 74, 235443 (2006).
    • (2006) Phys. Rev. B , vol.74 , pp. 235443
    • Ostrovsky, P.M.1    Gornyi, I.V.2    Mirlin, A.D.3


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