Local Commuting Projector Hamiltonians and the Quantum Hall Effect
Strongly Correlated Electrons
2019-06-05 v1 Mathematical Physics
math.MP
Abstract
We prove that neither Integer nor Fractional Quantum Hall Effects with nonzero Hall conductivity are possible in gapped systems described by Local Commuting Projector Hamiltonians.
Cite
@article{arxiv.1810.07756,
title = {Local Commuting Projector Hamiltonians and the Quantum Hall Effect},
author = {Anton Kapustin and Lukasz Fidkowski},
journal= {arXiv preprint arXiv:1810.07756},
year = {2019}
}