메뉴 건너뛰기




Volumn 86, Issue 11, 2012, Pages

Braiding statistics approach to symmetry-protected topological phases

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84866355638     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.86.115109     Document Type: Article
Times cited : (646)

References (36)
  • 1
    • 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
  • 2
    • 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
  • 3
    • 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
  • 4
    • 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
  • 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
    • 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
  • 7
    • 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
  • 8
    • 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
  • 9
    • 84855404191 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.84.235128
    • X. Chen, Z.-C. Gu, and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.235128 84, 235128 (2011).
    • (2011) Phys. Rev. B , vol.84 , pp. 235128
    • Chen, X.1    Gu, Z.-C.2    Wen, X.-G.3
  • 10
    • 84855365665 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.84.235141
    • X. Chen, Z.-X. Liu, and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.235141 84, 235141 (2011).
    • (2011) Phys. Rev. B , vol.84 , pp. 235141
    • Chen, X.1    Liu, Z.-X.2    Wen, X.-G.3
  • 11
    • 84866388727 scopus 로고    scopus 로고
    • 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.
  • 12
    • 84866344850 scopus 로고    scopus 로고
    • F. Pollmann, E. Berg, A. M. Turner, and M. Oshikawa, arXiv: 0909.4059
    • F. Pollmann, E. Berg, A. M. Turner, and M. Oshikawa, arXiv: 0909.4059.
  • 14
    • 80455177288 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.84.165139
    • N. Schuch, D. Perez-Garcia, and I. Cirac, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.165139 84, 165139 (2011).
    • (2011) Phys. Rev. B , vol.84 , pp. 165139
    • Schuch, N.1    Perez-Garcia, D.2    Cirac, I.3
  • 15
    • 79961067002 scopus 로고    scopus 로고
    • 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
  • 16
    • 18344372822 scopus 로고
    • PYLAAG 0375-9601 10.1016/0375-9601(83)90631-X
    • F. Haldane, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(83)90631-X 93, 464 (1983).
    • (1983) Phys. Lett. A , vol.93 , pp. 464
    • Haldane, F.1
  • 18
    • 65649108305 scopus 로고    scopus 로고
    • APCPCS 0094-243X 10.1063/1.3149495
    • A. Y. Kitaev, AIP Conf. Proc. APCPCS 0094-243X 10.1063/1.3149495 1134, 22 (2009).
    • (2009) AIP Conf. Proc. , vol.1134 , pp. 22
    • Kitaev, A.Y.1
  • 20
    • 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
  • 22
    • 77955218335 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.81.134509
    • L. Fidkowski and A. Kitaev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.134509 81, 134509 (2010).
    • (2010) Phys. Rev. B , vol.81 , pp. 134509
    • Fidkowski, L.1    Kitaev, A.2
  • 23
    • 0000680015 scopus 로고
    • CMPHAY 0010-3616 10.1007/BF02096988
    • R. Dijkgraaf and E. Witten, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF02096988 129, 393 (1990).
    • (1990) Commun. Math. Phys. , vol.129 , pp. 393
    • Dijkgraaf, R.1    Witten, E.2
  • 24
    • 34247120112 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.51.659
    • J. B. Kogut, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.51.659 51, 659 (1979).
    • (1979) Rev. Mod. Phys. , vol.51 , pp. 659
    • Kogut, J.B.1
  • 25
    • 0037268624 scopus 로고    scopus 로고
    • Fault-tolerant quantum computation by anyons
    • DOI 10.1016/S0003-4916(02)00018-0, PII S0003491602000180
    • A. Y. Kitaev, Ann. Phys. APNYA6 0003-4916 10.1016/S0003-4916(02)00018-0 303, 2 (2003). (Pubitemid 36177417)
    • (2003) Annals of Physics , vol.303 , Issue.1 , pp. 2-30
    • Kitaev, A.Yu.1
  • 27
    • 0043030013 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.67.245316
    • M. Levin and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.67.245316 67, 245316 (2003).
    • (2003) Phys. Rev. B , vol.67 , pp. 245316
    • Levin, M.1    Wen, X.-G.2
  • 28
    • 84866364301 scopus 로고    scopus 로고
    • p terms at the sites neighboring the endpoints of β do not commute with Vβ0, but the excitations associated with these terms should be regarded as part of the π-flux excitation.
    • p terms at the sites neighboring the endpoints of β do not commute with V β 0, but the excitations associated with these terms should be regarded as part of the π -flux excitation.
  • 29
    • 0000494981 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1665530
    • F. Wegner, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1665530 12, 2259 (1971).
    • (1971) J. Math. Phys. , vol.12 , pp. 2259
    • Wegner, F.1
  • 30
    • 30444456387 scopus 로고    scopus 로고
    • Anyons in an exactly solved model and beyond
    • DOI 10.1016/j.aop.2005.10.005, PII S0003491605002381
    • A. Kitaev, Ann. Phys. APNYA6 0003-4916 10.1016/j.aop.2005.10.005 321, 2 (2006). (Pubitemid 43072824)
    • (2006) Annals of Physics , vol.321 , Issue.1 , pp. 2-111
    • Kitaev, A.1
  • 31
    • 84866364302 scopus 로고    scopus 로고
    • For readers familiar with the string-net models in Ref. 26, we note that one can equivalently construct string-net models by letting the string types be irreducible representations of G, but these models are not as convenient for the duality construction when G is nonabelian.
    • For readers familiar with the string-net models in Ref. 26, we note that one can equivalently construct string-net models by letting the string types be irreducible representations of G, but these models are not as convenient for the duality construction when G is nonabelian.
  • 32
    • 84866344856 scopus 로고    scopus 로고
    • ′.
    • ′.
  • 33
    • 33749233552 scopus 로고    scopus 로고
    • Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance
    • DOI 10.1103/PhysRevB.72.045141, 045141
    • M. B. Hastings and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.045141 72, 045141 (2005). (Pubitemid 41526568)
    • (2005) Physical Review B - Condensed Matter and Materials Physics , vol.72 , Issue.4 , pp. 1-14
    • Hastings, M.B.1    Wen, X.-G.2
  • 36
    • 44049114062 scopus 로고
    • 0040-9383 10.1016/0040-9383(92)90015-A
    • V. G. Turaev and O. Y. Viro, Topology 0040-9383 10.1016/0040-9383(92) 90015-A 31, 865 (1992).
    • (1992) Topology , vol.31 , pp. 865
    • Turaev, V.G.1    Viro, O.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.