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Volumn 3, Issue 1, 2013, Pages

Topological invariant and quantum spin models from magnetic π fluxes in correlated topological insulators

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL INTERACTIONS; ELECTRONIC CORRELATION; QUANTUM MONTE CARLO SIMULATIONS; QUANTUM SPIN HALLS; QUANTUM SPIN MODELS; REPULSIVE INTERACTIONS; TOPOLOGICAL INSULATORS; TOPOLOGICAL INVARIANTS;

EID: 84875155831     PISSN: None     EISSN: 21603308     Source Type: Journal    
DOI: 10.1103/PhysRevX.3.011015     Document Type: Article
Times cited : (40)

References (59)
  • 1
    • 77949375457 scopus 로고    scopus 로고
    • The Birth of Topological Insulators
    • J. E. Moore, The Birth of Topological Insulators, Nature (London) 464, 194 (2010).
    • (2010) Nature (London) , vol.464 , pp. 194
    • Moore, J.E.1
  • 2
    • 78349239882 scopus 로고    scopus 로고
    • Colloquium: Topological Insulators
    • M. Z. Hasan and C. L. Kane, Colloquium: Topological Insulators, Rev. Mod. Phys. 82, 3045 (2010).
    • (2010) Rev. Mod. Phys. , vol.82 , pp. 3045
    • Hasan, M.Z.1    Kane, C.L.2
  • 3
    • 28844477210 scopus 로고    scopus 로고
    • 2 Topological Order and the Quantum Spin Hall Effect
    • C. L. Kane and E. J. Mele, Z2 Topological Order and the Quantum Spin Hall Effect, Phys. Rev. Lett. 95, 146802 (2005).
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 146802
    • Kane, C.L.1    Mele, E.J.2
  • 4
    • 57249110726 scopus 로고    scopus 로고
    • Classification of Topological Insulators and Superconductors in Three Spatial Dimensions
    • Andreas P. Schnyder, Shinsei Ryu, Akira Furusaki, and Andreas W.W. Ludwig, Classification of Topological Insulators and Superconductors in Three Spatial Dimensions, Phys. Rev. B 78, 195125 (2008).
    • (2008) Phys. Rev. B , vol.78 , pp. 195125
    • Schnyder, A.P.1    Ryu, S.2    Furusaki, A.3    Ludwig, A.W.W.4
  • 5
    • 28844477796 scopus 로고    scopus 로고
    • Quantum Spin Hall Effect in Graphene
    • C. L. Kane and E. J. Mele, Quantum Spin Hall Effect in Graphene, Phys. Rev. Lett. 95, 226801 (2005).
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 226801
    • Kane, C.L.1    Mele, E.J.2
  • 6
    • 33644910778 scopus 로고    scopus 로고
    • Helical Liquid and the Edge of Quantum Spin Hall Systems
    • Congjun Wu, B. Andrei Bernevig, and Shou-Cheng Zhang, Helical Liquid and the Edge of Quantum Spin Hall Systems, Phys. Rev. Lett. 96, 106401 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 106401
    • Congjun Wu, B.1    Bernevig, A.2    Zhang, S.-C.3
  • 7
    • 33144489555 scopus 로고    scopus 로고
    • Stability of the Quantum Spin Hall Effect: Effects of Interactions, Disorder, and Z2Topology
    • Cenke Xu and J. E. Moore, Stability of the Quantum Spin Hall Effect: Effects of Interactions, Disorder, and Z2Topology, Phys. Rev. B 73, 045322 (2006).
    • (2006) Phys. Rev. B , vol.73 , pp. 045322
    • Xu, C.1    Moore, J.E.2
  • 8
    • 33845708953 scopus 로고
    • Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
    • B. Andrei Bernevig, Taylor L. Hughes, and Shou-Cheng Zhang, Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells, Science 314, 1757 (2006).
    • (1757) Science , vol.314
    • Bernevig, B.A.1    Hughes, T.L.2    Zhang, S.-C.3
  • 11
    • 34247877557 scopus 로고    scopus 로고
    • Electron Fractionalization in Two-Dimensional Graphenelike Structures
    • Chang-Yu Hou, Claudio Chamon, and Christopher Mudry, Electron Fractionalization in Two-Dimensional Graphenelike Structures, Phys. Rev. Lett. 98, 186809 (2007).
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 186809
    • Hou, C.-Y.1    Chamon, C.2    Mudry, C.3
  • 12
    • 50049088543 scopus 로고    scopus 로고
    • Spin-Charge Separated Solitons in a Topological Band Insulator
    • Ying Ran, Ashvin Vishwanath, and Dung-Hai Lee, Spin-Charge Separated Solitons in a Topological Band Insulator, Phys. Rev. Lett. 101, 086801 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 086801
    • Ran, Y.1    Vishwanath, A.2    Lee, D.-H.3
  • 13
    • 84856192116 scopus 로고    scopus 로고
    • Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
    • Andreas Ruegg and Gregory A. Fiete, Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator, Phys. Rev. Lett. 108, 046401 (2012).
    • (2012) Phys. Rev. Lett. , vol.108 , pp. 046401
    • Ruegg, A.1    Fiete, G.A.2
  • 15
    • 77950842509 scopus 로고    scopus 로고
    • Quantum Spin-Liquid Emerging in Two-Dimensional Correlated Dirac Fermions
    • Z.Y. Meng, T. C. Lang, S. Wessel, F. F. Assaad, and A. Muramatsu, Quantum Spin-Liquid Emerging in Two-Dimensional Correlated Dirac Fermions, Nature (London) 464, 847 (2010).
    • (2010) Nature (London) , vol.464 , pp. 847
    • Meng, Z.Y.1    Lang, T.C.2    Wessel, S.3    Assaad, F.F.4    Muramatsu, A.5
  • 16
    • 79952422000 scopus 로고    scopus 로고
    • Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
    • M. Hohenadler, T. C. Lang, and F. F. Assaad, Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study, Phys. Rev. Lett. 106, 100403 (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 100403
    • Hohenadler, M.1    Lang, T.C.2    Assaad, F.F.3
  • 18
    • 77952012002 scopus 로고    scopus 로고
    • Mott Physics and Band Topology in Materials with Strong Spin-Orbit Interaction
    • Dmytro Pesin and Leon Balents, Mott Physics and Band Topology in Materials with Strong Spin-Orbit Interaction, Nat. Phys. 6, 376 (2010).
    • (2010) Nat. Phys. , vol.6 , pp. 376
    • Pesin, D.1    Balents, L.2
  • 19
    • 80053208685 scopus 로고    scopus 로고
    • Z2 Topological Insulators in Ultracold Atomic Gases
    • B. Beri and N. R. Cooper, Z2 Topological Insulators in Ultracold Atomic Gases, Phys. Rev. Lett. 107, 145301 (2011).
    • (2011) Phys. Rev. Lett. , vol.107 , pp. 145301
    • Beri, B.1    Cooper, N.R.2
  • 20
    • 84355161511 scopus 로고    scopus 로고
    • Topological Semimetal in a Fermionic Optical Lattice
    • K. Sun, W.V. Liu, A. Hemmerich, and S. Das Sarma, Topological Semimetal in a Fermionic Optical Lattice, Nat. Phys. 8, 67 (2011).
    • (2011) Nat. Phys. , vol.8 , pp. 67
    • Sun, K.1    Liu, W.V.2    Hemmerich, A.3    Das Sarma, S.4
  • 21
    • 0000944354 scopus 로고
    • Quantized Hall Conductance as a Topological Invariant
    • Qian Niu, D. J. Thouless, and Yong-Shi Wu, Quantized Hall Conductance as a Topological Invariant, Phys. Rev. B 31, 3372 (1985).
    • (1985) Phys. Rev. B , vol.31 , pp. 3372
    • Niu, Q.1    Thouless, D.J.2    Wu, Y.-S.3
  • 22
    • 78650165097 scopus 로고    scopus 로고
    • Topological Order Parameters for Interacting Topological Insulators
    • Zhong Wang, Xiao-Liang Qi, and Shou-Cheng Zhang, Topological Order Parameters for Interacting Topological Insulators, Phys. Rev. Lett. 105, 256803 (2010).
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 256803
    • Wang, Z.1    Qi, X.-L.2    Zhang, S.-C.3
  • 23
    • 79960978977 scopus 로고    scopus 로고
    • Single-Particle Green's Functions and Interacting Topological Insulators
    • V. Gurarie, Single-Particle Green's Functions and Interacting Topological Insulators, Phys. Rev. B 83, 085426 (2011).
    • (2011) Phys. Rev. B , vol.83 , pp. 085426
    • Gurarie, V.1
  • 24
    • 84860231364 scopus 로고    scopus 로고
    • Topological Invariants for Interacting Topological Insulators with Inversion Symmetry
    • Zhong Wang, Xiao-Liang Qi, and Shou-Cheng Zhang, Topological Invariants for Interacting Topological Insulators with Inversion Symmetry, Phys. Rev. B 85, 165126 (2012).
    • (2012) Phys. Rev. B , vol.85 , pp. 165126
    • Wang, Z.1    Qi, X.-L.2    Zhang, S.-C.3
  • 25
    • 84867472230 scopus 로고    scopus 로고
    • Simplfied Topological Invariants for Interacting Insulators
    • Zhong Wang and Shou-Cheng Zhang, Simplfied Topological Invariants for Interacting Insulators, Phys. Rev. X 2, 031008 (2012).
    • (2012) Phys. Rev. X , vol.2 , pp. 031008
    • Wang, Z.1    Zhang, S.-C.2
  • 26
    • 84858646920 scopus 로고    scopus 로고
    • Correlation Effects on a Topological Insulator at Finite Temperatures
    • Tsuneya Yoshida, Satoshi Fujimoto, and Norio Kawakami, Correlation Effects on a Topological Insulator at Finite Temperatures, Phys. Rev. B 85, 125113 (2012).
    • (2012) Phys. Rev. B , vol.85 , pp. 125113
    • Yoshida, T.1    Fujimoto, S.2    Kawakami, N.3
  • 27
    • 84870203831 scopus 로고    scopus 로고
    • Fluctuation-Induced Topological Quantum Phase Transitions in Quantum Spin-Hall and Anomalous-Hall Insulators
    • Jan Carl Budich, Ronny Thomale, Gang Li, Manuel Laubach, and Shou-Cheng Zhang, Fluctuation-Induced Topological Quantum Phase Transitions in Quantum Spin-Hall and Anomalous-Hall Insulators, Phys. Rev. B 86, 201407 (2012).
    • (2012) Phys. Rev. B , vol.86 , pp. 201407
    • Budich, J.C.1    Thomale, R.2    Li, G.3    Laubach, M.4    Zhang, S.-C.5
  • 28
    • 84855397739 scopus 로고    scopus 로고
    • Topological Phase Transitions for Interacting Finite Systems
    • Christopher N. Varney, Kai Sun, Marcos Rigol, and Victor Galitski, Topological Phase Transitions for Interacting Finite Systems, Phys. Rev. B 84, 241105 (2011).
    • (2011) Phys. Rev. B , vol.84 , pp. 241105
    • Varney, C.N.1    Sun, K.2    Rigol, M.3    Galitski, V.4
  • 29
    • 63849244620 scopus 로고    scopus 로고
    • One-Dimensional Topologically Protected Modes in Topological Insulators with Lattice Dislocations
    • Y. Ran, Y. Zang, and A. Vishwanath, One-Dimensional Topologically Protected Modes in Topological Insulators with Lattice Dislocations, Nat. Phys. 5, 298 (2009).
    • (2009) Nat. Phys. , vol.5 , pp. 298
    • Ran, Y.1    Zang, Y.2    Vishwanath, A.3
  • 30
    • 84858035206 scopus 로고    scopus 로고
    • Universal Probes of Two-Dimensional Topological Insulators: Dislocation and _ Flux
    • V. Juricic, A. Mesaros, R.-J. Slager, and J. Zaanen, Universal Probes of Two-Dimensional Topological Insulators: Dislocation and _ Flux, Phys. Rev. Lett. 108, 106403 (2012).
    • (2012) Phys. Rev. Lett. , vol.108 , pp. 106403
    • Juricic, V.1    Mesaros, A.2    Slager, R.-J.3    Zaanen, J.4
  • 31
    • 50049116640 scopus 로고    scopus 로고
    • Spin-Charge Separation in the Quantum Spin Hall State
    • Xiao-Liang Qi and Shou-Cheng Zhang, Spin-Charge Separation in the Quantum Spin Hall State, Phys. Rev. Lett. 101, 086802 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 086802
    • Qi, X.-L.1    Zhang, S.-C.2
  • 32
    • 77956661123 scopus 로고    scopus 로고
    • Wormhole Effect in a Strong Topological Insulator
    • G. Rosenberg, H.-M. Guo, and M. Franz, Wormhole Effect in a Strong Topological Insulator, Phys. Rev. B 82, 041104 (2010).
    • (2010) Phys. Rev. B , vol.82 , pp. 041104
    • Rosenberg, G.1    Guo, H.-M.2    Franz, M.3
  • 33
    • 0000783193 scopus 로고    scopus 로고
    • Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the Parity Anomaly
    • F. D. M. Haldane, Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the Parity Anomaly, Phys. Rev. Lett. 61, 2015 (1988).
    • (2015) Phys. Rev. Lett. , vol.61 , pp. 1988
    • Haldane, F.D.M.1
  • 36
    • 82655173513 scopus 로고    scopus 로고
    • Engineering a Robust Quantum Spin Hall State in Graphene via Adatom Deposition
    • Conan Weeks, Jun Hu, Jason Alicea, Marcel Franz, and Ruqian Wu, Engineering a Robust Quantum Spin Hall State in Graphene via Adatom Deposition, Phys. Rev. X 1, 021001 (2011).
    • (2011) Phys. Rev. X , vol.1 , pp. 021001
    • Weeks, C.1    Hu, J.2    Alicea, J.3    Franz, M.4    Wu, R.5
  • 37
    • 84858187821 scopus 로고    scopus 로고
    • Creating, Moving and Merging Dirac Points with a Fermi Gas in a Tunable Honeycomb Lattice
    • L. Tarruell, D. Greif, T. Uehlinger, G. Jotzu, and T. Esslinger, Creating, Moving and Merging Dirac Points with a Fermi Gas in a Tunable Honeycomb Lattice, Nature (London) 483, 302 (2012).
    • (2012) Nature (London) , vol.483 , pp. 302
    • Tarruell, L.1    Greif, D.2    Uehlinger, T.3    Jotzu, G.4    Esslinger, T.5
  • 38
    • 0012396897 scopus 로고
    • Oscillatory Effects and the Magnetic Susceptibility of Carriers in Inversion Layers
    • Y. A. Bychkov and E. I. Rashba Oscillatory Effects and the Magnetic Susceptibility of Carriers in Inversion Layers, J. Phys. C 17, 6039 (1984).
    • (1984) J. Phys. C , vol.17 , pp. 6039
    • Bychkov, Y.A.1    Rashba, E.I.2
  • 40
    • 33746255952 scopus 로고    scopus 로고
    • Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers
    • D. N. Sheng, Z.Y. Weng, L. Sheng, and F. D. M. Haldane, Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers, Phys. Rev. Lett. 97, 036808 (2006).
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 036808
    • Sheng, D.N.1    Weng, Z.Y.2    Sheng, L.3    Haldane, F.D.M.4
  • 41
    • 0000211878 scopus 로고
    • Electron Correlations in Narrow Energy Bands
    • J. Hubbard, Electron Correlations in Narrow Energy Bands, Proc. R. Soc. A 276, 238 (1963).
    • (1963) Proc. R. Soc. A , vol.276 , pp. 238
    • Hubbard, J.1
  • 42
    • 77957374596 scopus 로고    scopus 로고
    • Topological Insulators and Mott Physics from the Hubbard Interaction
    • Stephan Rachel and Karyn Le Hur, Topological Insulators and Mott Physics from the Hubbard Interaction, Phys. Rev. B 82, 075106 (2010).
    • (2010) Phys. Rev. B , vol.82 , pp. 075106
    • Rachel, S.1    Le Hur, K.2
  • 43
    • 82655169540 scopus 로고    scopus 로고
    • Particle-Hole Symmetry and Interaction Effects in the Kane-Mele-Hubbard Model
    • Dong Zheng, Guang-Ming Zhang, and Congjun Wu, Particle-Hole Symmetry and Interaction Effects in the Kane-Mele-Hubbard Model, Phys. Rev. B 84, 205121 (2011).
    • (2011) Phys. Rev. B , vol.84 , pp. 205121
    • Zheng, D.1    Zhang, G.-M.2    Wu, C.3
  • 44
    • 84856424311 scopus 로고    scopus 로고
    • Phase Diagram of the Kane-Mele-Hubbard Model
    • C. Griset and C. Xu, Phase Diagram of the Kane-Mele-Hubbard Model, Phys. Rev. B 85, 045123 (2012).
    • (2012) Phys. Rev. B , vol.85 , pp. 045123
    • Griset, C.1    Xu, C.2
  • 45
    • 79961037650 scopus 로고    scopus 로고
    • Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
    • S.-L. Yu, X. C. Xie, and J.-X. Li, Mott Physics and Topological Phase Transition in Correlated Dirac Fermions, Phys. Rev. Lett. 107, 010401 (2011).
    • (2011) Phys. Rev. Lett. , vol.107 , pp. 010401
    • Yu, S.-L.1    Xie, X.C.2    Li, J.-X.3
  • 46
    • 84861619920 scopus 로고    scopus 로고
    • Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
    • Wei Wu, Stephan Rachel, Wu-Ming Liu, and Karyn Le Hur, Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy, Phys. Rev. B 85, 205102 (2012).
    • (2012) Phys. Rev. B , vol.85 , pp. 205102
    • Wu, W.1    Rachel, S.2    Liu, W.-M.3    Le Hur, K.4
  • 47
    • 80054723790 scopus 로고    scopus 로고
    • Effects of Interaction on Quantum Spin Hall Insulators
    • Dung-Hai Lee, Effects of Interaction on Quantum Spin Hall Insulators, Phys. Rev. Lett. 107, 166806 (2011).
    • (2011) Phys. Rev. Lett. , vol.107 , pp. 166806
    • Lee, D.-H.1
  • 50
    • 37549059967 scopus 로고    scopus 로고
    • Computational Many Particle Physics, edited by H. Fehske, R. Schneider, and A. Weie, Lecture Notes in Physics Vol. 739 (Springer Verlag, Berlin, 2008)
    • F. F. Assaad and H. G. Evertz, in Computational Many Particle Physics, edited by H. Fehske, R. Schneider, and A. Weie, Lecture Notes in Physics Vol. 739 (Springer Verlag, Berlin, 2008), p. 277.
    • Assaad, F.F.1    Evertz, H.G.2
  • 52
    • 0034896590 scopus 로고    scopus 로고
    • Critical Behavior of the Three-Dimensional XY Universality Class
    • Massimo Campostrini, Martin Hasenbusch, Andrea Pelissetto, Paolo Rossi, and Ettore Vicari, Critical Behavior of the Three-Dimensional XY Universality Class, Phys. Rev. B 63, 214503 (2001).
    • (2001) Phys. Rev. B , vol.63 , pp. 214503
    • Campostrini, M.1    Hasenbusch, M.2    Pelissetto, A.3    Rossi, P.4    Vicari, E.5
  • 54
    • 33751110924 scopus 로고    scopus 로고
    • Measurement of the Ground-State Flux Diagram of Three Coupled Qubits as a First Step Towards the Demonstration of Adiabatic Quantum Computation
    • A. Izmalkov, M. Grajcar, S.H.W. van der Ploeg, U. Hubner, E. Il'ichev, H.-G. Meyer, and A. M. Zagoskin, Measurement of the Ground-State Flux Diagram of Three Coupled Qubits as a First Step Towards the Demonstration of Adiabatic Quantum Computation, Europhys. Lett. 76, 533 (2006).
    • (2006) Europhys. Lett. , vol.76 , pp. 533
    • Izmalkov, A.1    Grajcar, M.2    van der Ploeg, S.H.W.3    Hubner, U.4    Il'ichev, E.5    Meyer, H.-G.6    Zagoskin, A.M.7
  • 56
    • 73649124967 scopus 로고    scopus 로고
    • Feshbach Resonance in Optical Lattices and the Quantum Ising Model
    • M. J. Bhaseen, A. O. Silver, M. Hohenadler, and B. D. Simons, Feshbach Resonance in Optical Lattices and the Quantum Ising Model, Phys. Rev. Lett. 103, 265302 (2009).
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 265302
    • Bhaseen, M.J.1    Silver, A.O.2    Hohenadler, M.3    Simons, B.D.4
  • 57
    • 84858244363 scopus 로고    scopus 로고
    • Designer Dirac Fermions and Topological Phases in Molecular Graphene
    • K. K. Gomes, W. Mar, W. Ko, F. Guinea, and H. C. Manoharan, Designer Dirac Fermions and Topological Phases in Molecular Graphene, Nature (London) 483, 306 (2012).
    • (2012) Nature (London) , vol.483 , pp. 306
    • Gomes, K.K.1    Mar, W.2    Ko, W.3    Guinea, F.4    Manoharan, H.C.5
  • 59
    • 84872713432 scopus 로고    scopus 로고
    • Bound States of Conical Singularities in Graphene-Based Topological Insulators
    • A. Rüegg and C. Lin, Bound States of Conical Singularities in Graphene-Based Topological Insulators, Phys. Rev. Lett. 110, 046401 (2013).
    • (2013) Phys. Rev. Lett. , vol.110 , pp. 046401
    • Rüegg, A.1    Lin, C.2


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