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cond-mat.str-el2026
Exact solutions for kinematics across interaction-deformed Fermi surfaces
Alexander Kruchkov, F. Duncan M. Haldane
Luttinger's theorem fixes the volume of the Fermi sea of a Fermi liquid, but not how interactions redistribute occupation around its surface. For an interaction switched on and tun…
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…
cond-mat.str-el2023
Spectral sum rules reflect topological and quantum-geometric invariants
Alexander Kruchkov, Shinsei Ryu
Topological invariants are fundamental characteristics reflecting global properties of quantum systems, yet their exploration has predominantly been limited to the static (DC) tran…