Semicircle law and freeness for random matrices with symmetries or correlations
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
For a class of random matrix ensembles with correlated matrix elements, it is shown that the density of states is given by the Wigner semi-circle law. This is applied to effective Hamiltonians related to the Anderson model in dimensions greater than or equal to two.
Keywords
Cite
@article{arxiv.math-ph/0505003,
title = {Semicircle law and freeness for random matrices with symmetries or correlations},
author = {Jeffrey H. Schenker and Hermann Schulz-Baldes},
journal= {arXiv preprint arXiv:math-ph/0505003},
year = {2007}
}
Comments
14 pages, Latex. To appear in Math. Res. Lett