Hall field induced magnetoresistance oscillations of a two-dimensional electron system

TL;DR

This paper presents a theoretical model explaining how a strong Hall field induces magnetoresistance oscillations in a two-dimensional electron system, aligning well with recent experimental observations.

Contribution

It introduces a novel exact solution-based model for nonlinear DC response in 2DES under magnetic fields, capturing Hall field-induced oscillations.

Findings

Differential resistivity exhibits strong Hall field-induced oscillations.

Model aligns with experimental features of magnetoresistance oscillations.

Provides a self-consistent framework for electric field and current relationship.

Abstract

We develop a model of the nonlinear response to a DC electrical current of a two dimensional electron system(2DES) placed on a magnetic field. Based on the exact solution of the Schroedinger equation in arbitrarily strong electric and magnetic fields, and separating the relative and guiding center coordinates, a Kubo-like formula for the current is worked out as a response to the impurity scattering. Self-consistent expressions determine the longitudinal and Hall components of the electric field in terms of the DC current. The differential resistivity displays strong Hall field-induced oscillations, in agreement with the main features of the phenomenon observed in recent experiments.