1102.5059 (Victor Chulaevsky)

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

Victor Chulaevsky

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.

View original: http://arxiv.org/abs/1102.5059