2021/09/13 by Jian-Hao Zhang, Shuo Yang, Zhang, Jian-Hao +1
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena #cond-mat.str-el #math-ph #math.MP #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.2109.06118
12 figures, 3 tables, comments are welcome
arxiv created 2021/09/13 · openalex publication_date 2021/09/13 · arxiv updated 2021/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the tensor network representations of fermionic crystalline symmetry-protected topological (SPT) phases on two-dimensional lattices. As a mapping from virtual indices to physical indices, projected entangled-pair state (PEPS) serves as a concrete way to construct the wavefunctions of 2D crystalline fermionic SPT (fSPT) phases protected by 17 wallpaper group symmetries, for both spinless and spin-1/2 fermions. Based on PEPS, the full classification of 2D crystalline fSPT phases with wallpaper groups can be obtained. Tensor network states provide a natural framework for studying 2D crystalline fSPT phases.