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• W3081425536 abstract "Abstract Topological crystalline states (TCSs) are short-range entangled states jointly protected by onsite and crystalline symmetries. Here we present a unified scheme for constructing all TCSs, bosonic and fermionic, free and interacting, from real-space building blocks and connectors. Building blocks are lower-dimensional topological states protected by onsite symmetries alone, and connectors are glues that complete the open edges shared by two or multiple building blocks. The resulted assemblies are selected against two physical criteria we call the no-open-edge condition and the bubble equivalence. The scheme is then applied to obtaining the full classification of bosonic TCSs protected by several onsite symmetry groups and each of the 17 wallpaper groups in two dimensions and 230 space groups in three dimensions. We claim that our construction scheme can give the complete set of TCSs for bosons and fermions, and prove the boson case analytically using a spectral-sequence expansion." @default.
• W3081425536 created "2020-09-01" @default.
• W3081425536 creator A5020817636 @default.
• W3081425536 creator A5023339951 @default.
• W3081425536 creator A5069362447 @default.
• W3081425536 date "2020-08-21" @default.
• W3081425536 modified "2023-10-14" @default.
• W3081425536 title "Real-space recipes for general topological crystalline states" @default.
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• W3081425536 doi "https://doi.org/10.1038/s41467-020-17685-5" @default.
• W3081425536 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/7442842" @default.
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• W3081425536 hasPublicationYear "2020" @default.
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