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The anomalous surface states of symmetry protected topological (SPT) phases are usually thought to be only possible in conjunction with the higher dimensional topological bulk.
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2010
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For a closely related concept of non-onsite symmetry on the boundary of bosonic SPT phases, see X. Chen, Z.-X. Liu, X.-G. Wen, Phys. Rev. B 84, 235141 (2011)
2011
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Jeil Jung, Fan Zhang, and Allan H. MacDonald, “Lattice theory of pseudospin ferromagnetism in bilayer graphene: Competing interaction-induced quantum hall states,” Phys. Rev. B 83
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Titus Neupert, Luiz Santos, Claudio Chamon, and Christopher Mudry, “Fractional quantum hall states at zero magnetic field,” Phys. Rev. Lett. 106
2015
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2015
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2015
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Junhyun Lee and Subir Sachdev, “Wess-zumino-witten terms in graphene landau levels,” Phys. Rev. Lett. 114
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2011
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2011
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2012
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Chong Wang and T. Senthil, “Boson topological insulators: A window into highly entangled quantum phases,” Phys. Rev. B 87
2013
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Ashvin Vishwanath and T. Senthil, “Physics of three-dimensional bosonic topological insulators: Surface-deconfined criticality and quantized magnetoelectric effect,” Phys. Rev. X 3
2013
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2013
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Max A. Metlitski, C. L. Kane, and Matthew P. A. Fisher, “Bosonic topological insulator in three dimensions and the statistical witten effect,” Phys. Rev. B 88
2013
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Scott D Geraedts and Olexei I Motrunich, “Exact realization of integer and fractional quantum hall phases in u (1) × \times u (1) models in (2+ 1) d,” Annals of Physics 334
2013
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2015
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Max A. Metlitski, C. L. Kane, and Matthew P. A. Fisher, “Symmetry-respecting topologically ordered surface phase of three-dimensional electron topological insulators,” Phys. Rev. B 92
2015
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2015
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2015
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Y.-Z. You and C. Xu, “Topological orders with global gauge anomalies,” Phys. Rev. B 92
2015
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Chong Wang and T. Senthil, “Half-filled landau level, topological insulator surfaces, and three-dimensional quantum spin liquids,” Phys. Rev. B 93
2016
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David F Mross, Jason Alicea, and Olexei I Motrunich, “Bosonic analogue of dirac composite fermi liquid,” Physical review letters 117
2016
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G. Murthy and R.” Shankar, “The ?=1/2 landau level: Half-full or half-empty?” Phys. Rev. B 93
2016
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2016
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Chong Wang and T. Senthil, “Time-reversal symmetric u ( 1 ) u(1) quantum spin liquids,” Phys. Rev. X 6
2016
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Scott D. Geraedts, Michael P. Zaletel, Roger S. K. Mong, Max A. Metlitski, Ashvin Vishwanath, and Olexei I. Motrunich, “The half-filled landau level: The case for dirac composite fermions,” Science 352
2016
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2016
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Nathan Seiberg and Edward Witten, “Gapped boundary phases of topological insulators via weak coupling,” Progress of Theoretical and Experimental Physics 2016
2016
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Inti Sodemann, Itamar Kimchi, Chong Wang, and T. Senthil, “Composite fermion duality for half-filled multicomponent landau levels,” to appear (2016)
2016
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2016
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2017
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