Comment on "Elementary formula for the Hall conductivity of interacting systems"
Strongly Correlated Electrons
2015-06-18 v1 Mesoscale and Nanoscale Physics
Abstract
In a recent paper by Neupert, Santos, Chamon, and Mudry [Phys. Rev. B 86, 165133 (2012)] it is claimed that there is an elementary formula for the Hall conductivity of fractional Chern insulators. We show that the proposed formula cannot generally be correct, and we suggest one possible source of the error. Our reasoning can be generalized to show no quantity (such as Hall conductivity) expected to be constant throughout an entire phase of matter can possibly be given as the expectation of any time independent short ranged operator.
Keywords
Cite
@article{arxiv.1402.1174,
title = {Comment on "Elementary formula for the Hall conductivity of interacting systems"},
author = {Steven H. Simon and Fenner Harper and N. Read},
journal= {arXiv preprint arXiv:1402.1174},
year = {2015}
}
Comments
6 pages plus 13 pages supplement