Resonance width distribution for high-dimensional random media
Disordered Systems and Neural Networks
2009-11-11 v1
Abstract
We study the distribution of resonance widths P(G) for three-dimensional (3D) random scattering media and analyze how it changes as a function of the randomness strength. We are able to identify in P(G) the system-inherent fingerprints of the metallic, localized, and critical regimes. Based on the properties of resonance widths, we also suggest a new criterion for determining and analyzing the metal-insulator transition. Our theoretical predictions are verified numerically for the prototypical 3D tight-binding Anderson model.
Cite
@article{arxiv.cond-mat/0509195,
title = {Resonance width distribution for high-dimensional random media},
author = {Matthias Weiss and J. A. Mendez-Bermudez and Tsampikos Kottos},
journal= {arXiv preprint arXiv:cond-mat/0509195},
year = {2009}
}
Comments
7 pages, 8 figures