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cond-mat.str-el2026
Higher-Form Anomalies on Lattices
Yitao Feng, Ryohei Kobayashi, Yu-An Chen +1
Higher-form symmetry in a tensor product Hilbert space is always emergent: the symmetry generators become genuinely topological only when the Gauss law is energetically enforced at…
cond-mat.str-el2025
Higher Hall conductivity from a single wave function: Obstructions to symmetry-preserving gapped edge of (2+1)D topological order
Ryohei Kobayashi, Taige Wang, Tomohiro Soejima +2
A (2+1)D topological ordered phase with U(1) symmetry may or may not have a symmetric gapped edge state, even if both thermal and electric Hall conductivity are vanishing. It is re…
cond-mat.str-el2024
Entanglement entropy in lattice models with quantum metric
Alexander Kruchkov, Shinsei Ryu
We revisit the connection between entanglement entropy and quantum metric in topological lattice systems, and provide an elegant and concise proof of this connection. In gapped two…