TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.6.249
TI  - Generalized real-space Chern number formula and entanglement hamiltonian
PY  - 2023/12/20
UR  - https://scipost.org/SciPostPhys.15.6.249
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 6
SP  - 249
A1  - Fan, Ruihua
AU  - Zhang, Pengfei
AU  - Gu, Yingfei
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.15.6.249,
	title={{Generalized real-space Chern number formula and entanglement hamiltonian}},
	author={Ruihua Fan and Pengfei Zhang and Yingfei Gu},
	journal={SciPost Phys.},
	volume={15},
	pages={249},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.6.249},
	url={https://scipost.org/10.21468/SciPostPhys.15.6.249},
}