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

N. Cherroret (1) , S. E. Skipetrov (1)

1 LPM2C - Laboratoire de physique et modélisation des milieux condensés

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.

Domaines: Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]; Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]

N. Cherroret, S. E. Skipetrov. Microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2008, 77, pp.046608. ⟨10.1103/PhysRevE.77.046608⟩. ⟨hal-00372954⟩