Non linear magnetotransport theory and Hall induced resistance oscillations in graphene

TL;DR

This paper develops a theoretical model for nonlinear magnetotransport in graphene, explaining quantum oscillations and Hall-induced resistance oscillations, aligning well with experimental data and predicting new phenomena at low magnetic fields.

Contribution

It introduces a covariant formulation of migration center theory and solves the Dirac equation in crossed fields to analyze nonlinear magnetoresistance in graphene.

Findings

Extrema of Shubnikov de Hass oscillations invert at high dc currents.

Hall induced resistance oscillations are predicted at low magnetic fields.

Model aligns with experimental observations of nonlinear magnetotransport.

Abstract

The quantum oscillations of nonlinear magnetoresistance in graphene that occurs in response to a dc current bias are investigated. We present a theoretical model for the nonlinear magnetotransport of graphene carriers. The model is based on the exact solution of the effective Dirac equation in crossed electric and magnetic fields, while the effects of randomly distributed impurities are perturbatively added. To compute the nonlinear current we develop a covariant formulation of the migration center theory. The analysis of the differential resistivity in the large magnetic field region, shows that the extrema of the Shubnikov de Hass oscillations invert when the dc currents exceeds a threshold value. This results are in good agreement with the experimental observations. At small magnetic field, the existence of Hall induced resistance oscillations are predicted for ultra clean graphene samples. These oscillations originate from Landau-Zener transitions between Landau levels, that are tilted by the strong electric Hall field.