Scaling and localization lengths of a topologically disordered system

Details Scaling and localization lengths of a topologically disordered system Scaling and localization lengths of a topologically disordered system

2011-01-19

arxiv.org/abs/1101.3785v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

5+ pages

Scientific paper

We consider a noninteracting disordered system designed to model particle diffusion, relaxation in glasses, and impurity bands of semiconductors. Disorder originates in the random spatial distribution of sites. We find strong numerical evidence that this model displays the same universal behavior as the standard Anderson model. We use finite-size-scaling to find the localization length as a function of energy and density, including localized states away from the delocalization transition. Results at many energies all fit onto the same universal scaling curve.

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