Dynamic and nonlinear magnetoconductance: Numerical analysis in two dimensions

Abstract

We report theoretical investigations on the magnetoconductance of a two-probe two-dimensional mesoscopic conductor in the dynamic and weakly nonlinear transport regimes. Crucial to the investigation is the development of a viable numerical scheme for evaluating functional derivatives of a scattering matrix with respect to the scattering potential landscape in the presence of a magnetic field. The physical behavior of the local partial density of states, the sensitivity, the dynamic conductance, and the second order nonlinear dc conductance as functions of an external uniform magnetic field is revealed at two dimensions. Due to symmetry breaking the magnetic field adds very important effects to these physical quantities.