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We study possible quantum $U(1)$ spin liquids in three dimensions with time-reversal symmetry.
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P. Hosur, S. Ryu and A. Vishwanath, “Chiral Topological Insulators, Superconductors and other competing orders in three dimensions,” Phys. Rev. B, 81
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K. A. Ross, L. Savary, B. D. Gaulin, and L. Balents, “Quantum Excitations in Quantum Spin Ice,” Phys. Rev. X 1, 021002 (2011)
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Andrej Mesaros, Ying Ran, “Classification of symmetry enriched topological phases with exactly solvable models,” Phys. Rev. B 87, 155115 (2013)
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Ling-Yan Hung, Yidun Wan, “K matrix construction of symmetry-enriched phases of matter,” Phys. Rev. B 87, 195103 (2013)
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Cenke Xu, “Three-dimensional Z 2 Z_{2} topological phases enriched by time-reversal symmetry,” Phys. Rev. B 88, 205137 (2013)
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William Witczak-Krempa, Ara Go, Yong Baek Kim, “Pyrochlore electrons under pressure, heat, and field: Shedding light on the iridates,” Phys. Rev. B 87, 155101 (2013)
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2011
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Titus Neupert, Luiz Santos, Shinsei Ryu, Claudio Chamon, and Christopher Mudry, “Fractional topological liquids with time-reversal symmetry and their lattice realization,” Phys. Rev. B 84, 165107 (2011); Luiz Santos, Titus Neupert, Shinsei Ryu, Claudio Chamon, and Christopher Mudry, “Time-reversal symmetric hierarchy of fractional incompressible liquids,” Phys. Rev. B 84, 165138 (2011)
2011
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2012
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2012
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Scott Geraedts and Olexei Motrunich, “Model Realization and Numerical Studies of a Three-Dimensional Bosonic Topological Insulator and Symmetry-Enriched Topological Phases,” Phys. Rev. X 4, 041049 (2014)
2014
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C. Wang and T. Senthil, “Interacting fermionic topological insulators/superconductors in three dimensions,” Phys. Rev. B 89, 195124 (2014)
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Maissam Barkeshli, Erez Berg and Steven Kivelson, “Coherent transmutation of electrons into fractionalized anyons,” Science, 346 6210 (2014)
2014
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Xie Chen, Lukasz Fidkowski, and Ashvin Vishwanath, “Symmetry enforced non-Abelian topological order at the surface of a topological insulator,” Phys. Rev. B 89, 165132 (2014)
2014
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F. Burnell, X. Chen, L. Fidkowski, A. Vishwanath, “Exactly Soluble Model of a 3 D 3D Symmetry Protected Topological Phase of Bosons with Surface Topological Order,” Phys. Rev. B 90, 245122 (2014)
2014
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Gil Young Cho, Jeffrey C. Teo and Shinsei Ryu, “Conflicting symmetries in topologically ordered surface states of three-dimensional bosonic symmetry protected topological phases,” Phys. Rev. B 89, 235103 (2014)
2014
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Anton Kapustin and Ryan Thorngren, “Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology,” Phys. Rev. Lett. 112, 231602 (2014)
2014
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T. Senthil, “Symmetry Protected Topological phases of Quantum Matter,” Annual Review of Condensed Matter Physics, vol. 6, p.299-324 (2015)
2015
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