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We study classification of interacting fermionic symmetry-protected topological (SPT) phases with both rotation symmetry and Abelian internal symmetries in one, two, and three dimensions.
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S.-J. Huang, H. Song, Y.-P. Huang, and M. Hermele, Building crystalline topological phases from lower-dimensional states, Phys. Rev. B 96
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C. Wang, C.-H. Lin, and Z.-C. Gu, Interacting fermionic symmetry-protected topological phases in two dimensions, Phys. Rev. B 95
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2018
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E. Khalaf, Higher-order topological insulators and superconductors protected by inversion symmetry, Phys. Rev. B 97
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Q.-R. Wang and Z.-C. 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
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