Exactness of linear response in the quantum Hall effect
Mathematical Physics
2021-04-07 v2 Statistical Mechanics
math.MP
Abstract
In general, linear response theory expresses the relation between a driving and a physical system's response only to first order in perturbation theory. In the context of charge transport, this is the linear relation between current and electromotive force expressed in Ohm's law. We show here that, in the case of the quantum Hall effect, all higher order corrections vanish. We prove this in a fully interacting setting and without flux averaging.
Cite
@article{arxiv.2006.13301,
title = {Exactness of linear response in the quantum Hall effect},
author = {Sven Bachmann and Wojciech De Roeck and Martin Fraas and Markus Lange},
journal= {arXiv preprint arXiv:2006.13301},
year = {2021}
}