The Quantum Hall Effect in the Absence of Disorder
Strongly Correlated Electrons
2021-04-20 v2 Mesoscale and Nanoscale Physics
Abstract
It is widely held that disorder is essential to the existence of a finite interval of magnetic field in which the Hall conductance is quantized, i.e. for the existence of `plateaus' in the quantum Hall effect. Here, we show that the existence of a quasi-particle Wigner crystal results in the persistence of plateaus of finite extent even in the limit of vanishing disorder. Several experimentally detectable features that characterize the behavior in the zero disorder limit are also explored.
Cite
@article{arxiv.2009.14203,
title = {The Quantum Hall Effect in the Absence of Disorder},
author = {Kyung-Su Kim and Steven A. Kivelson},
journal= {arXiv preprint arXiv:2009.14203},
year = {2021}
}
Comments
7 pages, 2 figures