Exact Solution of the one-impurity quantum Hall problem

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
25 pages, TeX, to appear in J. Phys. A

Keywords

Mesoscale and Nanoscale Physics, High Energy Physics - Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/184872

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0006259
 http://arxiv.org/abs/cond-mat/0006259
 J.Phys.A33:5193-5206,2000
 doi:10.1088/0305-4470/33/29/304

Collections

arXiv