Hidden Breit-Wigner distribution and other properties of random matrices with preferential basis
Condensed Matter
2009-10-28 v3
Abstract
We study statistical properties of a class of band random matrices which naturally appears in systems of interacting particles. The local spectral density is shown to follow the Breit-Wigner distribution in both localized and delocalized regimes with width independent on the band/system size. We analyse the implications of this distribution to the inverse participation ratio, level spacing statistics and the problem of two interacting particles in a random potential.
Keywords
Cite
@article{arxiv.cond-mat/9506123,
title = {Hidden Breit-Wigner distribution and other properties of random matrices with preferential basis},
author = {Ph. Jacquod and D. L. Shepelyansky},
journal= {arXiv preprint arXiv:cond-mat/9506123},
year = {2009}
}
Comments
4 pages, 4 postscript figures appended, new version with minor changes