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Direct Scaling Analysis of localization in disordered systems. I. Single-particle models

Authors
  • Chulaevsky, Victor
Type
Preprint
Publication Date
May 05, 2012
Submission Date
Feb 24, 2011
Source
arXiv
License
Yellow
External links

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.

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