Anderson Localization in Euclidean Random Matrices
统计力学
2009-11-10 v1 无序系统与神经网络
摘要
We study spectra and localization properties of Euclidean random matrices. The problem is approximately mapped onto that of a matrix defined on a random graph. We introduce a powerful method to find the density of states and the localization threshold. We solve numerically an exact equation for the probability distribution function of the diagonal element of the the resolvent matrix, with a population dynamics algorithm, and we show how this can be used to find the localization threshold. An application of the method in the context of the Instantaneous Normal Modes of a liquid system is given.
引用
@article{arxiv.cond-mat/0403122,
title = {Anderson Localization in Euclidean Random Matrices},
author = {S. Ciliberti and T. S. Grigera and V. Martin-Mayor and G. Parisi and P. Verrocchio},
journal= {arXiv preprint arXiv:cond-mat/0403122},
year = {2009}
}
备注
4 pages