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Anomalous Symmetry Protected Topological States in Interacting Fermion Systems

Qing-Rui Wang Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China Yang Qi Center for Field Theory and Particle Physics, Department of Physics, Fudan University, Shanghai 200433, China; State Key Laboratory of Surface Physics, Fudan University, Shanghai 20043, 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: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.76001

Physical Review Letters, 123, 207003, 2019.11
The classification and construction of symmetry protected topological (SPT) phases have been intensively studied in interacting systems recently. To our surprise, in interacting fermion systems, there exists a new class of the so-called anomalous SPT (ASPT) states which are only well defined on the boundary of a trivial fermionic bulk system. We first demonstrate the essential idea by considering an anomalous topological superconductor with time-reversal symmetry T^2 = 1 in 2D. The physical reason for this is that the fermion parity might be changed locally by certain symmetry action, but it is conserved if we introduce a bulk. Then we discuss the layer structure and systematical construction of ASPT states in interacting fermion systems in 2D with a total symmetry G_f = G_b × \mathbb{Z}^f_2. Finally, potential experimental realizations of ASPT states are also addressed.
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@inproceedings{qing-rui2019anomalous,
  title={Anomalous Symmetry Protected Topological States in Interacting Fermion Systems},
  author={Qing-Rui Wang, Yang Qi, and Zheng-Cheng Gu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220616165316844339396},
  booktitle={Physical Review Letters},
  volume={123},
  pages={207003},
  year={2019},
}
Qing-Rui Wang, Yang Qi, and Zheng-Cheng Gu. Anomalous Symmetry Protected Topological States in Interacting Fermion Systems. 2019. Vol. 123. In Physical Review Letters. pp.207003. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220616165316844339396.
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