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Resonance width distribution for high-dimensional random media

Matthias Weiss·J. A. Mendez-Bermudez·Tsampikos Kottos
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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.

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Matthias Weiss, J. A. Mendez-Bermudez, Tsampikos Kottos. 2005-09-08. Resonance width distribution for high-dimensional random media. https://doi.org/10.1103/physrevb.73.045103

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