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Generalized real-space Chern number formula and entanglement hamiltonian

Ruihua Fan, Pengfei Zhang, Yingfei Gu

SciPost Phys. 15, 249 (2023) · published 20 December 2023


We generalize a real-space Chern number formula for gapped free fermions to higher orders. Using the generalized formula, we prove recent proposals for extracting thermal and electric Hall conductance from the ground state via the entanglement Hamiltonian in the special case of non-interacting fermions, providing a concrete example of the connection between entanglement and topology in quantum phases of matter.

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