Anomalous Hall effect in two-dimensional semiconductors: The roles of electron-impurity and electron-phonon scatterings

Taking account of both the electron-impurity and electron-phonon scatterings, the anomalous Hall effect in two dimensional electron systems is investigated by means of a kinetic equation approach. The spin-orbit coupling directly induced by an external driving electric field and the extrinsic spin-orbit coupling (associated with electron-impurity and electron-phonon scatterings) are included. The side-jump and skew-scattering contributions arising from these spin-orbit couplings to anomalous Hall current are expressed in terms of the distribution function. Performing a numerical calculation for InSb/AlInSb quantum wells, we analyze the effects of both electron-impurity and electron-phonon scatterings on anomalous Hall current. The temperature dependence of anomalous Hall current is also studied in the regime 0<T<300 K.