Electrons on a sphere in disorder potential
Mesoscale and Nanoscale Physics
2007-05-23 v2
Abstract
We investigate, both analytically and numerically, the behavior of the electron gas on a sphere in the presence of point-like impurities. We find a criterion when the disorder can be regarded as small one and the main effect is the broadening of rotational multiplets. In the latter regime the statistics of one impurity-induced band is studied numerically. The energy level spacing distribution function follows the law P(s) ~ s exp(-a s^b) with 1<b<2. The number variance shows various possibilities, strongly dependent on the chosen model of disorder.
Cite
@article{arxiv.cond-mat/0012208,
title = {Electrons on a sphere in disorder potential},
author = {D. N. Aristov},
journal= {arXiv preprint arXiv:cond-mat/0012208},
year = {2007}
}
Comments
11 pages, REVTEX, 9 eps figures; references added to Sec.3