Dephasing by time-dependent random potentials

TL;DR

This paper numerically investigates how time-dependent random potentials cause dephasing in two-dimensional electron systems, revealing a universal frequency-dependent correction to conductivity consistent with weak localization theory.

Contribution

It demonstrates that the inelastic scattering correction to conductivity follows a universal function of frequency, aligning with weak localization predictions.

Findings

The conductivity correction depends universally on frequency.

The correction matches the weak localization logarithmic prediction.

Numerical results confirm theoretical expectations.

Abstract

Diffusion of electrons in a two-dimensional system with time-dependent random potentials is investigated numerically. The correction to the conductivity due to inelastic scatterings by oscillating potentials is shown to be a universal function of the frequency $\omega$, which is consistent with the weak localization prediction $(e^2)/(3\pi^2 \hbar) log \omega$.