SciPost Submission Page
Generalized Real-space Chern Number Formula and Entanglement Hamiltonian
by Ruihua Fan, Pengfei Zhang, Yingfei Gu
This Submission thread is now published as
Submission summary
| Submission information |
| Preprint Link: |
scipost_202311_00027v1
(pdf)
|
| Date accepted: |
2023-11-27 |
| Date submitted: |
2023-11-16 09:54 |
| Submitted by: |
Gu, Yingfei |
| Submitted to: |
SciPost Physics |
| Ontological classification |
| Academic field: |
Physics |
| Specialties: |
- Condensed Matter Physics - Theory
|
| 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.
