Effect of motion of the scatterers on localization: quasi localization and quasi mobility edge

TL;DR

This paper investigates how the motion of scatterers affects electron localization, identifying a crossover region in 3D and the role of dephasing time in 2D, revealing nuanced diffusion behaviors.

Contribution

It introduces a new understanding of electron diffusion crossover and the impact of scatterer motion on localization in different dimensions.

Findings

Existence of a crossover region in 3D separating fast and slow diffusion states.

Diffusion coefficient in 2D is governed by dephasing time at all energies.

Different localization regimes are influenced by scatterer dynamics.

Abstract

We study kinetics of electrons, scattered by heavy particles undergoing slow diffusive motion. In a three-dimensional space we claim the existence of the crossover region (on the energy axis), which separates the states with fast diffusion and the states with slow diffusion; the latter is determined by the dephasing time. In a two-dimensional space the diffusion coefficient for any value of energy is determined by the dephasing time.