Scaling and localization lengths of a topologically disordered system
Disordered Systems and Neural Networks
2015-03-17 v1
Abstract
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.
Cite
@article{arxiv.1101.3785,
title = {Scaling and localization lengths of a topologically disordered system},
author = {Jacob J. Krich and Alán Aspuru-Guzik},
journal= {arXiv preprint arXiv:1101.3785},
year = {2015}
}
Comments
5+ pages