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Volumn 86, Issue 12, 2012, Pages

Gapless edge states of background field theory and translation-symmetric Z 2 spin liquids

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EID: 84866389487     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.86.125101     Document Type: Article
Times cited : (30)

References (54)
  • 2
    • 65649108305 scopus 로고    scopus 로고
    • APCPCS 0094-243X 10.1063/1.3149495
    • A. Kitaev, AIP Conf. Proc. APCPCS 0094-243X 10.1063/1.3149495 1134, 22 (2009).
    • (2009) AIP Conf. Proc. , vol.1134 , pp. 22
    • Kitaev, A.1
  • 3
    • 84857761838 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.85.085103
    • X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.085103 85, 085103 (2012).
    • (2012) Phys. Rev. B , vol.85 , pp. 085103
    • Wen, X.-G.1
  • 5
    • 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
  • 6
    • 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
  • 8
    • 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
  • 9
    • 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
  • 10
    • 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
  • 12
    • 22244440948 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.50.1395
    • R. B. Laughlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50. 1395 50, 1395 (1983).
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 1395
    • Laughlin, R.B.1
  • 13
    • 33744712217 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.41.9377
    • X. G. Wen and Q. Niu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.41. 9377 41, 9377 (1990).
    • (1990) Phys. Rev. B , vol.41 , pp. 9377
    • Wen, X.G.1    Niu, Q.2
  • 14
    • 1542763507 scopus 로고
    • ADPHAH 0001-8732 10.1080/00018739500101566
    • X.-G. Wen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018739500101566 44, 405 (1995).
    • (1995) Adv. Phys. , vol.44 , pp. 405
    • Wen, X.-G.1
  • 15
    • 23544435097 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.25.2185
    • B. I. Halperin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.25.2185 25, 2185 (1982).
    • (1982) Phys. Rev. B , vol.25 , pp. 2185
    • Halperin, B.I.1
  • 16
    • 33744531188 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.41.12838
    • X. G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.41.12838 41, 12838 (1990).
    • (1990) Phys. Rev. B , vol.41 , pp. 12838
    • Wen, X.G.1
  • 17
    • 0001080950 scopus 로고
    • IJPBEV 0217-9792 10.1142/S0217979292000840
    • X. G. Wen, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/ S0217979292000840 6, 1711 (1992).
    • (1992) Int. J. Mod. Phys. B , vol.6 , pp. 1711
    • Wen, X.G.1
  • 18
    • 10044259571 scopus 로고    scopus 로고
    • Superconductors are topologically ordered
    • DOI 10.1016/j.aop.2004.05.006, PII S0003491604001046
    • T. H. Hansson, V. Oganesyan, and S. L. Sondhi, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2004.05.006 313, 497 (2004). (Pubitemid 39603439)
    • (2004) Annals of Physics , vol.313 , Issue.2 , pp. 497-538
    • Hansson, T.H.1    Oganesyan, V.2    Sondhi, S.L.3
  • 19
    • 55849083536 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.78.155134
    • S.-P. Kou, M. Levin, and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.155134 78, 155134 (2008).
    • (2008) Phys. Rev. B , vol.78 , pp. 155134
    • Kou, S.-P.1    Levin, M.2    Wen, X.-G.3
  • 20
    • 61549085314 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.79.064405
    • C. Xu and S. Sachdev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79. 064405 79, 064405 (2009).
    • (2009) Phys. Rev. B , vol.79 , pp. 064405
    • Xu, C.1    Sachdev, S.2
  • 21
    • 1842607210 scopus 로고    scopus 로고
    • A class of P, T-invariant topological phases of interacting electrons
    • DOI 10.1016/j.aop.2004.01.006
    • M. Freedman, C. Nayak, K. Shtengel, K. Walker, and Z. Wang, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2004.01.006 310, 428 (2004). (Pubitemid 38457639)
    • (2004) Annals of Physics , vol.310 , Issue.2 , pp. 428-492
    • Freedman, M.1    Nayak, C.2    Shtengel, K.3    Walker, K.4    Wang, Z.5
  • 22
    • 70449083454 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.103.196803
    • M. Levin and A. Stern, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.196803 103, 196803 (2009).
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 196803
    • Levin, M.1    Stern, A.2
  • 23
    • 79954974247 scopus 로고    scopus 로고
    • APNYA6 0003-4916 10.1016/j.aop.2010.12.011
    • G. Y. Cho and J. E. Moore, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2010.12.011 326, 1515 (2011).
    • (2011) Ann. Phys. (NY) , vol.326 , pp. 1515
    • Cho, G.Y.1    Moore, J.E.2
  • 24
    • 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
  • 27
    • 84860243269 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.85.165134
    • Y.-M. Lu and Y. Ran, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85. 165134 85, 165134 (2012).
    • (2012) Phys. Rev. B , vol.85 , pp. 165134
    • Lu, Y.-M.1    Ran, Y.2
  • 29
    • 77954750040 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.80.224406
    • S.-P. Kou and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.224406 80, 224406 (2009).
    • (2009) Phys. Rev. B , vol.80 , pp. 224406
    • Kou, S.-P.1    Wen, X.-G.2
  • 31
    • 33645151438 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.96.110404
    • A. Kitaev and J. Preskill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.110404 96, 110404 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 110404
    • Kitaev, A.1    Preskill, J.2
  • 32
    • 33645161396 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.96.110405
    • M. Levin and X.-G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.110405 96, 110405 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 110405
    • Levin, M.1    Wen, X.-G.2
  • 34
    • 0037091620 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.65.165113
    • X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.165113 65, 165113 (2002).
    • (2002) Phys. Rev. B , vol.65 , pp. 165113
    • Wen, X.-G.1
  • 35
    • 84866348148 scopus 로고    scopus 로고
    • arXiv: 1201.2648.
    • Z. Gu and X. G. Wen, arXiv: 1201.2648.
    • Gu, Z.1    Wen, X.G.2
  • 36
    • 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
  • 40
    • 0001185515 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.37.3774
    • I. Affleck and J. B. Marston, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.37.3774 37, 3774 (1988).
    • (1988) Phys. Rev. B , vol.37 , pp. 3774
    • Affleck, I.1    Marston, J.B.2
  • 41
    • 0023415909 scopus 로고
    • c superconductivity - A mean field theory
    • DOI 10.1016/0038-1098(87)90642-9
    • G. Baskaran, Z. Zou, and P. W. Anderson, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(87)90642-9 63, 973 (1987). (Pubitemid 18577690)
    • (1987) Solid State Communications , vol.63 , Issue.11 , pp. 973-976
    • Baskaran, G.1    Zou, Z.2    Anderson, P.W.3
  • 42
    • 0001136860 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.37.580
    • G. Baskaran and P. W. Anderson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.37.580 37, 580 (1988).
    • (1988) Phys. Rev. B , vol.37 , pp. 580
    • Baskaran, G.1    Anderson, P.W.2
  • 43
    • 0001358225 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.38.5142
    • G. Kotliar and J. Liu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.38. 5142 38, 5142 (1988).
    • (1988) Phys. Rev. B , vol.38 , pp. 5142
    • Kotliar, G.1    Liu, J.2
  • 45
    • 4243394128 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.76.503
    • X.-G. Wen and P. A. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.503 76, 503 (1996).
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 503
    • Wen, X.-G.1    Lee, P.A.2
  • 46
    • 84866433706 scopus 로고    scopus 로고
    • If the Schwinger fermion band structure lies in class C, it corresponds to a chiral spin liquid whose effective theory is a U(1) Chern-Simons theory. In the case of class D and DIII, the corresponding spin liquids host non-Abelian quasiparticle excitations which could in general be described by non-Abelian Chern-Simons theory.
    • If the Schwinger fermion band structure lies in class C, it corresponds to a chiral spin liquid whose effective theory is a U (1) Chern-Simons theory. In the case of class D and DIII, the corresponding spin liquids host non-Abelian quasiparticle excitations which could in general be described by non-Abelian Chern-Simons theory.
  • 47
    • 0037428558 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.90.016803
    • X.-G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90. 016803 90, 016803 (2003).
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 016803
    • Wen, X.-G.1
  • 48
    • 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. (NY) 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
  • 49
    • 55049105990 scopus 로고    scopus 로고
    • PHUSEY 1063-7869 10.1070/1063-7869/44/10S/S29
    • A. Y. Kitaev, Phys.-Usp. PHUSEY 1063-7869 10.1070/1063-7869/44/10S/S29 44, 131 (2001).
    • (2001) Phys.-Usp. , vol.44 , pp. 131
    • Kitaev, A.Y.1
  • 50
    • 84866402617 scopus 로고    scopus 로고
    • (unpublished).
    • Y. Ran (unpublished).
    • Ran, Y.1
  • 52
    • 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
  • 53
    • 84863658963 scopus 로고    scopus 로고
    • 1098-0121 10.1103/PhysRevB.86.045102
    • Z. Ringel, Y. E. Kraus, and A. Stern, Phys. Rev. B 1098-0121 10.1103/PhysRevB.86.045102 86, 045102 (2012).
    • (2012) Phys. Rev. B , vol.86 , pp. 045102
    • Ringel, Z.1    Kraus, Y.E.2    Stern, A.3
  • 54
    • 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


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