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

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

2007-11-15

arxiv.org/abs/0711.2410v2

Phys. Rev. E 77, 046608 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, 4 figures

Scientific paper

10.1103/PhysRevE.77.046608

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.

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