Random Magnetic Impurities and the $\delta$ Impurity Problem
Condensed Matter
2007-05-23 v1 High Energy Physics - Theory
Abstract
One considers the effect of disorder on the 2-dimensional density of states of an electron in a constant magnetic field superposed onto a Poissonnian random distribution of point vortices. If one restricts the electron Hilbert space to the lowest Landau level of the total average magnetic field, the random magnetic impurity problem is mapped onto a contact impurity problem. A brownian motion analysis of the model, based on brownian probability distributions for arithmetic area winding sectors, is also proposed. PACS numbers: 05.30.-d, 05.40.+j, 11.10.-
Cite
@article{arxiv.cond-mat/9412076,
title = {Random Magnetic Impurities and the $\delta$ Impurity Problem},
author = {Jean DESBOIS and Cyril FURTLEHNER and Stéphane OUVRY and Division de Physique Théorique and IPN and Orsay Fr-91406},
journal= {arXiv preprint arXiv:cond-mat/9412076},
year = {2007}
}
Comments
13 pages, latex, 1 figure upon request, submitted to Phys. Rev. Lett