Nonlinear magnetoresistivity in two-dimensional systems induced by Berry curvature
Shibalik Lahiri, Tanmay Bhore, Kamal Das, Amit Agarwal
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 the 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 transport signature can be used as an additional experimental probe for the geometric quantities in intrinsically time reversal symmetric systems.