Numerical Study of Inelastic Scatterings by Time-Dependent Random Potentials in Two-Dimensional Systems

TL;DR

This paper numerically investigates how electrons diffuse in two-dimensional systems with time-dependent random potentials, revealing effects on conductivity related to weak localization and spin-orbit scattering near the metal-insulator transition.

Contribution

It provides a numerical analysis of electron diffusion in 2D systems with time-dependent disorder, highlighting the impact of spin-orbit scattering on conductivity corrections.

Findings

Conductivity exhibits universal weak localization correction without spin-orbit scattering.

Presence of spin-orbit scattering reduces the disorder dependence of conductivity correction.

Conductivity correction diminishes near the metal-insulator transition.

Abstract

Diffusion of electrons in a two-dimensional system with time-dependent random potentials is investigated numerically. In the absence of spin-orbit scattering, the conductivity shows universal weak localization correction. In the presence of it, however, the correction to the conductivity weakly depends on the strength of disorder, and becomes vanishingly small close to the metal-insulator transition point.