Exact Solution of the one-impurity quantum Hall problem
Mesoscale and Nanoscale Physics
2008-11-26 v1 High Energy Physics - Theory
Abstract
The problem of a non-relativistic electron in the presence of a uniform electromagnetic field and of one impurity, described by means of an Aharonov-Bohm point-like vortex, is studied. The exact solution is found and the quantum Hall's conductance turns out to be the same as in the impurity-free case. This exactly solvable model seems to give indications, concerning the possible microscopic mechanisms underlying the integer quantum Hall effect, which sensibly deviate from some proposals available in the literature.
Cite
@article{arxiv.cond-mat/0006259,
title = {Exact Solution of the one-impurity quantum Hall problem},
author = {Paola Giacconi and Roberto Soldati},
journal= {arXiv preprint arXiv:cond-mat/0006259},
year = {2008}
}
Comments
25 pages, TeX, to appear in J. Phys. A