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Classification and construction of symmetry protected topological (SPT) phases in interacting boson and fermion systems have become a fascinating theoretical direction in recent years.
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2013
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H. Yao and S. Ryu, “Interaction effect on topological classification of superconductors in two dimensions,” Phys. Rev. B 88
2013
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2014
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2014
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C. Wang and M. Levin, “Braiding statistics of loop excitations in three dimensions,” Phys. Rev. Lett. 113
2014
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S. Jiang, A. Mesaros, and Y. Ran, “Generalized modular transformations in ( 3 + 1 ) D (3+1)\mathrm{D} topologically ordered phases and triple linking invariant of loop braiding,” Phys. Rev. X 4
2014
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X. Chen, L. Fidkowski, and A. Vishwanath, “Symmetry enforced non-abelian topological order at the surface of a topological insulator,” Phys. Rev. B 89
2014
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Chong Wang and T. Senthil, “Interacting fermionic topological insulators/superconductors in three dimensions,” Phys. Rev. B 89
2014
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2015
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T. Morimoto, A. Furusaki, and C. Mudry, “Breakdown of the topological classification ℤ \mathbb{Z} for gapped phases of noninteracting fermions by quartic interactions,” Phys. Rev. B 92
2015
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2015
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Zheng-Cheng Gu, Zhenghan Wang, and Xiao-Gang Wen, “Classification of two-dimensional fermionic and bosonic topological orders,” Phys. Rev. B 91
2015
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2016
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2016
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2016
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Chenjie Wang, “Braiding statistics and classification of two-dimensional charge- 2 m 2m superconductors,” Phys. Rev. B 94
2016
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2016
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2016
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2016
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2016
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2016
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2016
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2016
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Nicolas Tarantino and Lukasz Fidkowski, “Discrete spin structures and commuting projector models for two-dimensional fermionic symmetry-protected topological phases,” Phys. Rev. B 94
2016
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Brayden Ware, Jun Ho Son, Meng Cheng, Ryan V. Mishmash, Jason Alicea, and Bela Bauer, “Ising anyons in frustration-free majorana-dimer models,” Phys. Rev. B 94
2016
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2017
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