Non linear transport in drift-diffusion equations under magnetic field

TL;DR

This paper investigates the nonlinear transport behavior in drift-diffusion equations under magnetic fields, revealing a plateau in drift velocity akin to zero differential resistance states in high mobility 2D systems, supported by numerical and analytical methods.

Contribution

It introduces a combined numerical and analytical analysis of nonlinear transport in magnetic fields, highlighting a plateau phenomenon similar to experimental zero differential resistance states.

Findings

Identification of a drift velocity plateau in the model

Good agreement between numerical simulations and analytical theory

Overestimation of negative differential resistance in the theory

Abstract

We analyze numerically and analytically the non linear transport properties of a drift-diffusion equation in presence of a magnetic field and of a disorder potential. For a wide range of parameters this model exhibits a plateau where the drift velocity is almost independent on the applied electric field. This behavior has strong similarities with the zero differential resistance states observed experimentally in high mobility two dimensional systems. Performed numerical simulations are in a good global agreement with the developed analytical theory even if the later leads to overestimated negative differential resistance values.