paper

Microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size

arXiv:0711.2410 · doi:10.1103/PhysRevE.77.046608

Abstract

We present a microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size. The derivation leads to a renormalized, position-dependent diffusion coefficient. The position dependence of the latter is due to the position dependence of return probability in a bounded medium.

12 pages, 4 figures

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