We report a phenomenon in electronic systems. It is shown that, at both zero and finite frequencies, Hall resistivity $\left({\rho }_{xy}\right)$ is finite in an electronic system with sufficient Rashba coupling and in the absence of an 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 $\left({\rho }_{xx}\right)$ decreases as the Rashba coupling increases. The transverse charge current reported here should be clearly distinguished from the intrinsic transverse spin current reported previously [Phys. Rev. Lett., 92, 126603 (2004)].

• Received 26 January 2005

DOI:https://doi.org/10.1103/PhysRevB.71.121307