Generalized Real-space Chern Number Formula and Entanglement Hamiltonian
Strongly Correlated Electrons
2023-12-20 v2 Disordered Systems and Neural Networks
High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2211.04510,
title = {Generalized Real-space Chern Number Formula and Entanglement Hamiltonian},
author = {Ruihua Fan and Pengfei Zhang and Yingfei Gu},
journal= {arXiv preprint arXiv:2211.04510},
year = {2023}
}
Comments
9 pages + 3 appendices; v2, typo fixed, improve the abstract and introduction