Dynamic Hall resistivity of 2D electronic systems in the presence of Rashba couplings
Zhongshui Ma
Department of Physics, Peking University, Beijing, 100871, P.R. China
We show that, at both zero and finite frequencies, Hall resistivity is finite in an electronic system with sufficient Rashba couplings and in the absence of external magnetic field. It is found that the off-diagonal component of the resistivity is determined by the reactive part (real part) of the inverse dielectric functions. This is in contrast to any other electrical transport including magnetotransport where all resistivity components (both diagonal and off-diagonal) are determined by the absorptive part (imaginary part) of the inverse dielectric functions. The longitudinal resistivity decreases as the Rashba  couplings increase.