Berry curvature induced nonlinear magnetoresistivity in two dimensional systems

TL;DR

This paper predicts a quantum-mechanical nonlinear magnetoresistivity in 2D systems caused by Berry curvature and related geometric properties, which scales linearly with magnetic field and offers a new way to probe quantum geometry.

Contribution

It introduces a novel nonlinear magnetoresistivity effect in 2D quantum materials arising from Berry curvature and magnetic moments, expanding understanding of quantum transport phenomena.

Findings

Nonlinear resistivity scales linearly with magnetic field.

Effect is purely quantum mechanical in origin.

Provides a new experimental probe for quantum geometric properties.

Abstract

The band geometric properties of quantum materials play an elemental role in the linear and nonlinear transport of electrons. In this paper, we propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz force can induce a finite nonlinear resistivity in two dimensional systems in presence of a perpendicular magnetic field. The induced nonlinear magnetoresistivity scales linearly with the magnetic field and is purely quantum mechanical in origin. This novel transport signature can be used as an additional experimental probe for the geometric quantities in intrinsically time reversal symmetric systems.