Generalized real-space Chern number formula and entanglement hamiltonian
Ruihua Fan, Pengfei Zhang, Yingfei Gu
SciPost Phys. 15, 249 (2023) · published 20 December 2023
- doi: 10.21468/SciPostPhys.15.6.249
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Abstract
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.
Cited by 1
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Ruihua Fan,
- 2 3 Pengfei Zhang,
- 2 4 Yingfei Gu
- 1 Harvard University
- 2 California Institute of Technology [CalTech]
- 3 复旦大学 / Fudan University
- 4 Tsinghua University [THU]
Funders for the research work leading to this publication