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Generalized Real-space Chern Number Formula and Entanglement Hamiltonian
by Ruihua Fan, Pengfei Zhang, Yingfei Gu
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Submission summary
| Authors (as registered SciPost users): | Yingfei Gu |
| Submission information | |
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| Preprint Link: | scipost_202311_00027v1 (pdf) |
| Date accepted: | Nov. 27, 2023 |
| Date submitted: | Nov. 16, 2023, 9:54 a.m. |
| Submitted by: | Yingfei Gu |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
Published as SciPost Phys. 15, 249 (2023)