Supersymmetric Analysis of a Simplified Two Dimensional Anderson Model at Small Disorder
Statistical Mechanics
2007-05-23 v1
Abstract
This work proposes a very simple random matrix model, the Flip Matrix Model, liable to approximate the behavior of a two dimensional electron in a weak random potential. Its construction is based on a phase space analysis, a suitable discretization and a simplification of the true model. The density of states of this model is investigated using the supersymmetric method and shown to be given, in the limit of large size of the matrix by the usual Wigner's semi-circle law.
Cite
@article{arxiv.cond-mat/0210524,
title = {Supersymmetric Analysis of a Simplified Two Dimensional Anderson Model at Small Disorder},
author = {J. Bellissard and J. Magnen and V. Rivasseau},
journal= {arXiv preprint arXiv:cond-mat/0210524},
year = {2007}
}
Comments
21 pages, 1 figure