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Construction and classification of point group symmetry protected topological phases in 2D interacting fermionic systems

Jian-Hao Zhang Institute for Advanced Study, Tsinghua University, Beijing 100084, China Qing-Rui Wang Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China Shuo Yang State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China; Beijing Academy of Quantum Information Sciences, Beijing 100193, China Yang Qi Department of Physics, Center for Field Theory and Particle Physics, Fudan University, Shanghai 200433, China; State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, China; Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China Zheng-Cheng Gu Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

arXiv subject: High Energy Physics - Theory (hep-th) arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.74022

PHYSICAL REVIEW B, 101, 100501(R), 2020.3
The construction and classification of symmetry-protected topological (SPT) phases in interacting bosonic and fermionic systems have been intensively studied in the past few years. Very recently, a complete classification and construction of space group SPT phases were also proposed for interacting bosonic systems. In this paper, we attempt to generalize this classification and construction scheme systematically into interacting fermion systems. In particular, we construct and classify point group SPT phases for 2D interacting fermion systems via lower-dimensional block-state decorations. We discover several intriguing fermionic SPT states that can only be realized in interacting fermion systems (i.e., not in free-fermion or bosonic SPT systems). Moreover, we also verify the recently conjectured crystalline equivalence principle for 2D interacting fermion systems. Finally, the potential experimental realization of these new classes of point group SPT phases in 2D correlated superconductors is addressed.
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@inproceedings{jian-hao2020construction,
  title={Construction and classification of point group symmetry protected topological phases in 2D interacting fermionic systems},
  author={Jian-Hao Zhang, Qing-Rui Wang, Shuo Yang, Yang Qi, and Zheng-Cheng Gu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220616164624096980394},
  booktitle={PHYSICAL REVIEW B},
  volume={101},
  pages={100501(R)},
  year={2020},
}
Jian-Hao Zhang, Qing-Rui Wang, Shuo Yang, Yang Qi, and Zheng-Cheng Gu. Construction and classification of point group symmetry protected topological phases in 2D interacting fermionic systems. 2020. Vol. 101. In PHYSICAL REVIEW B. pp.100501(R). http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220616164624096980394.
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