A new homotopy model for the Bott spiral of fermionic SPTs is built via twisted ABS orientation and IFT spiral maps, showing IFTs need more symmetry data than K-theory and relying on an extraspecial group isomorphism of order 32.
42 [Oga22a] Yoshiko Ogata
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Reviews characterization, classification, and detection of crystalline symmetry-protected topological invariants in 2D integer and fractional Chern insulators, focusing on translation, rotation, and charge conservation.
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Unraveling the Bott spiral
A new homotopy model for the Bott spiral of fermionic SPTs is built via twisted ABS orientation and IFT spiral maps, showing IFTs need more symmetry data than K-theory and relying on an extraspecial group isomorphism of order 32.
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Crystalline topological invariants in quantum many-body systems
Reviews characterization, classification, and detection of crystalline symmetry-protected topological invariants in 2D integer and fractional Chern insulators, focusing on translation, rotation, and charge conservation.