Supersymmetric Analysis of a Simplified Two Dimensional Anderson Model at Small Disorder
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 semicircle law.
 Publication:

arXiv eprints
 Pub Date:
 October 2002
 arXiv:
 arXiv:condmat/0210524
 Bibcode:
 2002cond.mat.10524B
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 21 pages, 1 figure