Physical principles underlying the quantum Hall effect
Mesoscale and Nanoscale Physics
2015-03-17 v2 Strongly Correlated Electrons
Abstract
In this contribution, we present an introduction to the physical principles underlying the quantum Hall effect. The field theoretic approach to the integral and fractional effect is sketched, with some emphasis on the mechanism of electromagnetic gauge anomaly cancellation by chiral degrees of freedom living on the edge of the sample. Applications of this formalism to the design and theoretical interpretation of interference experiments are outlined.
Cite
@article{arxiv.1006.0457,
title = {Physical principles underlying the quantum Hall effect},
author = {Samuel Bieri and Juerg Froehlich},
journal= {arXiv preprint arXiv:1006.0457},
year = {2015}
}
Comments
20 pages, 8 figures; small corrections, replaced with published version