title: Vertex corrections to the anomalous Hall effect in spin-polarized two-dimensional electron gases with a Rashba spin-orbit interaction.
abstract: We study the effect of disorder on the intrinsic anomalous Hall conductivity in a magnetic two-dimensional electron gas with a Rashba-type spin-orbit interaction. We find that anomalous Hall conductivity vanishes unless the lifetime is spin-dependent, similar to the spin Hall conductivity in the nonmagnetic system. In addition, we find that the spin Hall conductivity does not vanish in the presence of magnetic scatterers.
authors.affiliation: Department of Applied Physics, Nagoya University, Nagoya 464-8603, Japan. inoue@nuap.nagoya-u.ac.jp
authors.forename: Jun-ichiro
authors.initials: J
authors.lastname: Inoue
authors.forename: Takashi
authors.initials: T
authors.lastname: Kato
authors.forename: Yasuhito
authors.initials: Y
authors.lastname: Ishikawa
authors.forename: Hiroyoshi
authors.initials: H
authors.lastname: Itoh
authors.forename: Gerrit E W
authors.initials: GE
authors.lastname: Bauer
authors.forename: Laurens W
authors.initials: LW
authors.lastname: Molenkamp