Berry curvature induced nonlinear magnetoresistivity in two dimensional systems

Abstract

We investigate the effect of band geometric quantities on nonlinear magnetoresistivity, which dictates the quadratic dependence of the nonlinear voltage generated by the applied current. 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. Our proposed novel transport signature can be used as an additional experimental probe for the geometric quantities in intrinsically time reversal symmetric systems.