-
1
-
-
84871441220
-
Symmetry-protected topological orders in interacting bosonic systems
-
Chen, X., Gu, Z.-C., Liu, Z.-X. & Wen, X.-G. Symmetry-protected topological orders in interacting bosonic systems. Science 338, 1604-1606 (2012).
-
(2012)
Science
, vol.338
, pp. 1604-1606
-
-
Chen, X.1
Gu, Z.-C.2
Liu, Z.-X.3
Wen, X.-G.4
-
2
-
-
71449101812
-
Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order
-
Gu, Z.-C. & Wen, X.-G. Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order. Phys. Rev. B 80, 155131 (2009).
-
(2009)
Phys. Rev. B
, vol.80
, pp. 155131
-
-
Gu, Z.-C.1
Wen, X.-G.2
-
3
-
-
84855365665
-
Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations
-
Chen, X., Liu, Z.-X. & Wen, X.-G. Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations. Phys. Rev. B 84, 235141 (2011).
-
(2011)
Phys. Rev. B
, vol.84
, pp. 235141
-
-
Chen, X.1
Liu, Z.-X.2
Wen, X.-G.3
-
5
-
-
84866355638
-
Braiding statistics approach to symmetry-protected topological phases
-
Levin, M. & Gu, Z.-C. Braiding statistics approach to symmetry-protected topological phases. Phys. Rev. B 86, 115109 (2012).
-
(2012)
Phys. Rev. B
, vol.86
, pp. 115109
-
-
Levin, M.1
Gu, Z.-C.2
-
6
-
-
84866382683
-
Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach
-
Lu, Y.-M. & Vishwanath, A. Theory and classification of interacting integer topological phases in two dimensions: a Chern-Simons approach. Phys. Rev. B 86, 125119 (2012).
-
(2012)
Phys. Rev. B
, vol.86
, pp. 125119
-
-
Lu, Y.-M.1
Vishwanath, A.2
-
7
-
-
84867031920
-
Classification and analysis of two-dimensional abelian fractional topological insulators
-
Levin, M. & Stern, A. Classification and analysis of two-dimensional abelian fractional topological insulators. Phys. Rev. B 86, 115131 (2012).
-
(2012)
Phys. Rev. B
, vol.86
, pp. 115131
-
-
Levin, M.1
Stern, A.2
-
8
-
-
84872721393
-
Integer quantum hall effect for bosons
-
Senthil, T. & Levin, M. Integer quantum hall effect for bosons. Phys. Rev. Lett. 110, 046801 (2013).
-
(2013)
Phys. Rev. Lett.
, vol.110
, pp. 046801
-
-
Senthil, T.1
Levin, M.2
-
9
-
-
84875334666
-
Physics of three-dimensional bosonic topological insulators: Surface-deconfined criticality and quantized magnetoelectric effect
-
Vishwanath, A. & Senthil, T. Physics of three-dimensional bosonic topological insulators: surface-deconfined criticality and quantized magnetoelectric effect. Phys. Rev. X 3, 011016 (2013).
-
(2013)
Phys. Rev. X
, vol.3
, pp. 011016
-
-
Vishwanath, A.1
Senthil, T.2
-
11
-
-
84873127433
-
Quantum phase transition between integer quantum hall states of bosons
-
Grover, T. & Vishwanath, A. Quantum phase transition between integer quantum hall states of bosons. Phys. Rev. B 87, 045129 (2013).
-
(2013)
Phys. Rev. B
, vol.87
, pp. 045129
-
-
Grover, T.1
Vishwanath, A.2
-
12
-
-
84877041962
-
Three-dimensional symmetry-protected topological phase close to antiferromagnetic néel order
-
Xu, C. Three-dimensional symmetry-protected topological phase close to antiferromagnetic néel order. Phys. Rev. B 87, 144421 (2013).
-
(2013)
Phys. Rev. B
, vol.87
, pp. 144421
-
-
Xu, C.1
-
13
-
-
84873425097
-
Symmetry-protected quantum spin hall phases in two dimensions
-
Liu, Z.-X. & Wen, X.-G. Symmetry-protected quantum spin hall phases in two dimensions. Phys. Rev. Lett. 110, 067205 (2013).
-
(2013)
Phys. Rev. Lett.
, vol.110
, pp. 067205
-
-
Liu, Z.-X.1
Wen, X.-G.2
-
14
-
-
84871533744
-
Chiral symmetry on the edge of two-dimensional symmetry protected topological phases
-
Chen, X. & Wen, X.-G. Chiral symmetry on the edge of two-dimensional symmetry protected topological phases. Phys. Rev. B 86, 235135 (2012).
-
(2012)
Phys. Rev. B
, vol.86
, pp. 235135
-
-
Chen, X.1
Wen, X.-G.2
-
17
-
-
84878528031
-
Projective construction of two-dimensional symmetryprotected topological phases with u(1), so(3), or su(2) symmetries
-
Ye, P. & Wen, X.-G. Projective construction of two-dimensional symmetryprotected topological phases with u(1), so(3), or su(2) symmetries. Phys. Rev. B 87, 195128 (2013).
-
(2013)
Phys. Rev. B
, vol.87
, pp. 195128
-
-
Ye, P.1
Wen, X.-G.2
-
18
-
-
84877904485
-
Wave functions of bosonic symmetry protected topological phases
-
Xu, C. & Senthil, T. Wave functions of bosonic symmetry protected topological phases. Phys. Rev. B 87, 174412 (2013).
-
(2013)
Phys. Rev. B
, vol.87
, pp. 174412
-
-
Xu, C.1
Senthil, T.2
-
19
-
-
84877061201
-
Exact realization of integer and fractional quantum hall phases in models in
-
Geraedts, S. D. & Motrunich, O. I. Exact realization of integer and fractional quantum hall phases in models in. Ann. Phys. 334, 288-315 (2013).
-
(2013)
Ann. Phys.
, vol.334
, pp. 288-315
-
-
Geraedts, S.D.1
Motrunich, O.I.2
-
20
-
-
84880831109
-
Bosonic topological insulator in three dimensions and the statistical witten effect
-
Metlitski, M. A., Kane, C. L. & Fisher, M. P. A. Bosonic topological insulator in three dimensions and the statistical witten effect. Phys. Rev. B 88, 035131 (2013).
-
(2013)
Phys. Rev. B
, vol.88
, pp. 035131
-
-
Metlitski, M.A.1
Kane, C.L.2
Fisher, M.P.A.3
-
21
-
-
84879730659
-
Boson topological insulators: A window into highly entangled quantum phases
-
Wang, C. & Senthil, T. Boson topological insulators: a window into highly entangled quantum phases. Phys. Rev. B 87, 235122 (2013).
-
(2013)
Phys. Rev. B
, vol.87
, pp. 235122
-
-
Wang, C.1
Senthil, T.2
-
22
-
-
84906991437
-
-
Preprint at http://arXiv.org/abs/1302.7072
-
Burnell, F. J., Chen, X., Fidkowski, L. & Vishwanath, A. Exactly Soluble Model of a 3D Symmetry Protected Topological Phase of Bosons with Surface Topological Order. Preprint at http://arXiv.org/abs/1302.7072 (2013).
-
(2013)
Exactly Soluble Model of A 3D Symmetry Protected Topological Phase of Bosons with Surface Topological Order
-
-
Burnell, F.J.1
Chen, X.2
Fidkowski, L.3
Vishwanath, A.4
-
23
-
-
79551610647
-
Classification of gapped symmetric phases in one-dimensional spin systems
-
Chen, X., Gu, Z.-C. & Wen, X.-G. Classification of gapped symmetric phases in one-dimensional spin systems. Phys. Rev. B 83, 035107 (2011).
-
(2011)
Phys. Rev. B
, vol.83
, pp. 035107
-
-
Chen, X.1
Gu, Z.-C.2
Wen, X.-G.3
-
24
-
-
79961067002
-
Topological phases of fermions in one dimension
-
Fidkowski, L. & Kitaev, A. Topological phases of fermions in one dimension. Phys. Rev. B 83, 075103 (2011).
-
(2011)
Phys. Rev. B
, vol.83
, pp. 075103
-
-
Fidkowski, L.1
Kitaev, A.2
-
25
-
-
79961064168
-
Topological phases of one-dimensional fermions: An entanglement point of view
-
Turner, A. M., Pollmann, F. & Berg, E. Topological phases of one-dimensional fermions: an entanglement point of view. Phys. Rev. B 83, 075102 (2011).
-
(2011)
Phys. Rev. B
, vol.83
, pp. 075102
-
-
Turner, A.M.1
Pollmann, F.2
Berg, E.3
-
26
-
-
78349239882
-
Colloquium: Topological insulators
-
Hasan, M. Z. & Kane, C. L. Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045-3067 (2010).
-
(2010)
Rev. Mod. Phys.
, vol.82
, pp. 3045-3067
-
-
Hasan, M.Z.1
Kane, C.L.2
-
27
-
-
80054934761
-
Topological insulators and superconductors
-
Qi, X.-L. & Zhang, S.-C. Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057-1110 (2011).
-
(2011)
Rev. Mod. Phys.
, vol.83
, pp. 1057-1110
-
-
Qi, X.-L.1
Zhang, S.-C.2
-
29
-
-
38949129028
-
Quantum spin hall insulator state in hgte quantum wells
-
Konig, M. et al. Quantum spin hall insulator state in hgte quantum wells. Science 318, 766-770 (2007).
-
(2007)
Science
, vol.318
, pp. 766-770
-
-
Konig, M.1
-
30
-
-
42949106486
-
A topological dirac insulator in a quantum spin hall phase
-
Hsieh, D. et al. A topological dirac insulator in a quantum spin hall phase. Nature 452, 970-974 (2008).
-
(2008)
Nature
, vol.452
, pp. 970-974
-
-
Hsieh, D.1
-
31
-
-
70349765760
-
Observation of time-reversal-protected single-dirac-cone topological-insulator states in Bi2Te3 and Sb2Te3
-
Hsieh, D. et al. Observation of time-reversal-protected single-dirac-cone topological-insulator states in Bi2Te3 and Sb2Te3. Phys. Rev. Lett. 103, 146401 (2009).
-
(2009)
Phys. Rev. Lett.
, vol.103
, pp. 146401
-
-
Hsieh, D.1
-
32
-
-
60149088445
-
Observation of unconventional quantum spin textures in topological insulators
-
Hsieh, D. et al. Observation of unconventional quantum spin textures in topological insulators. Science 323, 919-922 (2009).
-
(2009)
Science
, vol.323
, pp. 919-922
-
-
Hsieh, D.1
-
33
-
-
57249110726
-
Classification of topological insulators and superconductors in three spatial dimensions
-
Schnyder, A. P., Ryu, S., Furusaki, A. & Ludwig, A. W. W. 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
-
34
-
-
65649108305
-
Periodic table for topological insulators and superconductors
-
Kitaev, A. Periodic table for topological insulators and superconductors. AIP Conf. Proc. 1134, 22-30 (2009).
-
(2009)
AIP Conf. Proc.
, vol.1134
, pp. 22-30
-
-
Kitaev, A.1
-
35
-
-
84857761838
-
Symmetry-protected topological phases in noninteracting fermion systems
-
Wen, X.-G. Symmetry-protected topological phases in noninteracting fermion systems. Phys. Rev. B 85, 085103 (2012).
-
(2012)
Phys. Rev. B
, vol.85
, pp. 085103
-
-
Wen, X.-G.1
-
36
-
-
79952420794
-
Topological crystalline insulators
-
Fu, L. Topological crystalline insulators. Phys. Rev. Lett. 106, 106802 (2011).
-
(2011)
Phys. Rev. Lett.
, vol.106
, pp. 106802
-
-
Fu, L.1
-
37
-
-
84881508761
-
Hughes existence of Majorana-fermion bound states on disclinations and the classification of topological crystalline superconductors in two dimensions
-
Teo, Jeffrey C. Y. & Taylor, L. Hughes existence of Majorana-fermion bound states on disclinations and the classification of topological crystalline superconductors in two dimensions. Phys. Rev. Lett. 111, 047006 (2013).
-
(2013)
Phys. Rev. Lett.
, vol.111
, pp. 047006
-
-
Teo, J.C.Y.1
Taylor, L.2
-
38
-
-
84876184254
-
Quantized topological terms in weak-coupling gauge theories with a global symmetry and their connection to symmetry-enriched topological phases
-
Hung, L.-Y. & Wen, X.-G. Quantized topological terms in weak-coupling gauge theories with a global symmetry and their connection to symmetry-enriched topological phases. Phys. Rev. B 87, 165107 (2013).
-
(2013)
Phys. Rev. B
, vol.87
, pp. 165107
-
-
Hung, L.-Y.1
Wen, X.-G.2
-
39
-
-
84877885787
-
K matrix construction of symmetry-enriched phases of matter
-
Hung, L.-Y. & Wan, Y. k matrix construction of symmetry-enriched phases of matter. Phys. Rev. B 87, 195103 (2013).
-
(2013)
Phys. Rev. B
, vol.87
, pp. 195103
-
-
Hung, L.-Y.1
Wan, Y.2
-
41
-
-
4243727059
-
Phase transition in a lattice model of superconductivity
-
Dasgupta, C. & Halperin, B. I. Phase transition in a lattice model of superconductivity. Phys. Rev. Lett. 47, 1556-1560 (1981).
-
(1981)
Phys. Rev. Lett.
, vol.47
, pp. 1556-1560
-
-
Dasgupta, C.1
Halperin, B.I.2
-
42
-
-
0000379688
-
Correspondence between two-dimensional bosons and a bulk superconductor in a magnetic field
-
Fisher, M. P. A. & Lee, D. H. Correspondence between two-dimensional bosons and a bulk superconductor in a magnetic field. Phys. Rev. B 39, 2756 (1989).
-
(1989)
Phys. Rev. B
, vol.39
, pp. 2756
-
-
Fisher, M.P.A.1
Lee, D.H.2
-
43
-
-
84876198820
-
Classification of symmetry enriched topological phases with exactly solvable models
-
Mesaros, A. & Ran, Y. Classification of symmetry enriched topological phases with exactly solvable models. Phys. Rev. B 87, 155115 (2013).
-
(2013)
Phys. Rev. B
, vol.87
, pp. 155115
-
-
Mesaros, A.1
Ran, Y.2
-
44
-
-
84875291708
-
Classifying fractionalization: Symmetry classification of gapped z2 spin liquids in two dimensions
-
Essin, A. M. & Hermele, M. Classifying fractionalization: symmetry classification of gapped z2 spin liquids in two dimensions. Phys. Rev. B 87, 104406 (2013).
-
(2013)
Phys. Rev. B
, vol.87
, pp. 104406
-
-
Essin, A.M.1
Hermele, M.2
-
48
-
-
33744535413
-
Cluster-state quantum computation
-
Nielsen, M. A. Cluster-state quantum computation. Rep. Math. Phys. 57, 147-161 (2006).
-
(2006)
Rep. Math. Phys.
, vol.57
, pp. 147-161
-
-
Nielsen, M.A.1
-
49
-
-
84871201946
-
Topological order in 1d cluster state protected by symmetry
-
Son, W., Amico, L. & Vedral, V. Topological order in 1d cluster state protected by symmetry. Quant. Inform. Process. 11, 1961-1968 (2012).
-
(2012)
Quant. Inform. Process.
, vol.11
, pp. 1961-1968
-
-
Son, W.1
Amico, L.2
Vedral, V.3
-
50
-
-
30444456387
-
Anyons in an exactly solved model and beyond
-
Kitaev, A. Anyons in an exactly solved model and beyond. Ann. Phys. 321, 2-111 (2006).
-
(2006)
Ann. Phys.
, vol.321
, pp. 2-111
-
-
Kitaev, A.1
|