Intrinsic anomalous Hall effect in spin-polarized two-dimensional electron gases with Dresselhaus spin-orbit interaction

Abstract

The intrinsic anomalous Hall effect in spin-polarized two-dimensional electron gases with Dresselhaus spin-orbit interaction is studied within the Kubo-Streda formalism. We find that when the ${k}^{3}$ term of Dresselhaus interaction is taken into account, in the weak impurity scattering limit the intrinsic anomalous Hall conductivity is not zero and its absolute value increases with the increment of the Fermi energy and the thickness of the quantum well when both subbands are partially occupied. This result is opposite to the existing conclusion of Rashba spin-orbit interaction in which the anomalous Hall conductivity vanishes in the same situation.