Anderson Localization in Euclidean Random Matrices

Details Anderson Localization in Euclidean Random Matrices Anderson Localization in Euclidean Random Matrices

2004-03-03

arxiv.org/abs/cond-mat/0403122v1

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1103/PhysRevB.71.153104

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.

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