A unified semiclassical description for kinetic magnetoelectric effect in both k-linear and k-cubic two-dimensional Rashba models

We propose a unified semiclassical description for the kinetic magnetoelectric effect in both k-linear and k-cubic two-dimensional Rashba model in the thermodynamic limit, which takes into account the effects of both spin coherence and spin dephasing by a closed set of Boltzman-like kinetic equations. Based on this unified description, we show that in contrary to the case found in the studies of intrinsic spin Hall effect in such systems, in the linear response regime the kinetic magnetoelectric effect would vanish for the k-cubic Rashba model in the thermodynamic limit but be robust for the k-linear Rashba model in the thermodynamic limit.