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The classification and lattice model construction of symmetry protected topological (SPT) phases in interacting fermion systems are very interesting but challenging.
1912
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2011
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2011
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Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, and Xiao-Gang Wen, “Symmetry-protected topological orders in interacting bosonic systems,” Science 338
2012
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M. Levin and Z.-C. Gu, “Braiding statistics approach to symmetry-protected topological phases,” Phys. Rev. B 86
2012
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2012
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S. Ryu and S.-C. Zhang, “Interacting topological phases and modular invariance,” Phys. Rev. B 85
2012
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X. Chen, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen, “Symmetry protected topological orders and the group cohomology of their symmetry group,” Phys. Rev. B 87
2013
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A. 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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2013
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2013
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L. Fidkowski, X. Chen, and A. Vishwanath, “Non-abelian topological order on the surface of a 3d topological superconductor from an exactly solved model,” Phys. Rev. X 3
2013
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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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2014
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C. Wang and M. Levin, “Braiding statistics of loop excitations in three dimensions,” Phys. Rev. Lett. 113
Edward Witten, “Fermion path integrals and topological phases,” Rev. Mod. Phys. 88
2016
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Chenjie Wang, Chien-Hung Lin, and Michael Levin, “Bulk-boundary correspondence for three-dimensional symmetry-protected topological phases,” Phys. Rev. X 6
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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Davide Gaiotto and Anton Kapustin, “Spin tqfts and fermionic phases of matter,” International Journal of Modern Physics A 31
2016
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2016
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2014
Cited alongside, same era.
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
Cited alongside, same era.
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
Cited alongside, same era.
Chong Wang and T. Senthil, “Interacting fermionic topological insulators/superconductors in three dimensions,” Phys. Rev. B 89
2014
Cited alongside, same era.
2014
Cited alongside, same era.
Z.-C. Gu and M. Levin, “Effect of interactions on two-dimensional fermionic symmetry-protected topological phases with Z 2 {Z}_{2} symmetry,” Phys. Rev. B 89
2014
Cited alongside, same era.
Yi-Zhuang You and Cenke Xu, “Symmetry-protected topological states of interacting fermions and bosons,” Phys. Rev. B 90
2014
Cited alongside, same era.
2014
Cited alongside, same era.
2016
Later among the works it cites.
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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2016
Later among the works it cites.
Chenjie Wang, Chien-Hung Lin, and Zheng-Cheng Gu, “Interacting fermionic symmetry-protected topological phases in two dimensions,” Phys. Rev. B 95
2017
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Anton Kapustin and Ryan Thorngren, “Fermionic spt phases in higher dimensions and bosonization,” Journal of High Energy Physics 2017
2017
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Jonathan Brundan and Alexander P. Ellis, “Monoidal supercategories,” Communications in Mathematical Physics 351
2017
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Hao Song, Sheng-Jie Huang, Liang Fu, and Michael Hermele, “Topological phases protected by point group symmetry,” Phys. Rev. X 7
2017
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2017
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2018
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Tian Lan, Liang Kong, and Xiao-Gang Wen, “Classification of ( 3 + 1 ) D \mathbf{(}3+1\mathbf{)}\mathrm{D} bosonic topological orders: The case when pointlike excitations are all bosons,” Phys. Rev. X 8
2018
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2018
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2018
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Qing-Rui Wang and Zheng-Cheng Gu, “Towards a complete classification of symmetry-protected topological phases for interacting fermions in three dimensions and a general group supercohomology theory,” Phys. Rev. X 8
2018
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2018
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2018
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Zitao Wang, Shang-Qiang Ning, and Xie Chen, “Exactly solvable model for two-dimensional topological superconductors,” Phys. Rev. B 98
2018
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2018
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Meng Cheng, Nathanan Tantivasadakarn, and Chenjie Wang, “Loop braiding statistics and interacting fermionic symmetry-protected topological phases in three dimensions,” Phys. Rev. X 8
2018
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Qing-Rui Wang, Yang Qi, and Zheng-Cheng Gu, “Anomalous symmetry protected topological states in interacting fermion systems,” Phys. Rev. Lett. 123
2019
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