Direct Scaling Analysis of localization in disordered systems. I. Single-particle models
Mathematical Physics
2012-05-08 v2 math.MP
Abstract
We propose a simplified version of the Multi-Scale Analysis of tight-binding Anderson models with strongly mixing random potentials which leads directly to uniform exponential bounds on decay of eigenfunctions in arbitrarily large finite subsets of a lattice. Naturally, these bounds imply also dynamical localization and exponential decay of eigenfunctions on the entire lattice.
Keywords
Cite
@article{arxiv.1102.5059,
title = {Direct Scaling Analysis of localization in disordered systems. I. Single-particle models},
author = {Victor Chulaevsky},
journal= {arXiv preprint arXiv:1102.5059},
year = {2012}
}