Resonance width distribution for high-dimensional random media

Details Resonance width distribution for high-dimensional random media Resonance width distribution for high-dimensional random media

2005-09-08

arxiv.org/abs/cond-mat/0509195v1

Phys. Rev. B 73, 045103 (2006).

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 8 figures

Scientific paper

10.1103/PhysRevB.73.045103

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.

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