Vanishing Hall conductance for commuting Hamiltonians
Strongly Correlated Electrons
2022-04-07 v4 Mathematical Physics
math.MP
Abstract
We consider the process of flux insertion for ground states of almost local commuting projector Hamiltonians in two spatial dimensions. In the case of finite dimensional local Hilbert spaces, we prove that this process cannot pump any charge and we conclude that the Hall conductance must vanish.
Cite
@article{arxiv.2107.10316,
title = {Vanishing Hall conductance for commuting Hamiltonians},
author = {Carolyn Zhang and Michael Levin and Sven Bachmann},
journal= {arXiv preprint arXiv:2107.10316},
year = {2022}
}
Comments
5 pages, 2 figures. Supplemental material added