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

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

2011-02-24

arxiv.org/abs/1102.5059v1

Physics

Mathematical Physics

Scientific paper

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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