title: Absence of skew scattering in two-dimensional systems: testing the origins of the anomalous Hall effect.
abstract: We study the anomalous Hall conductivity in spin-polarized, asymmetrically confined two-dimensional electron and hole systems, taking into account the intrinsic, side-jump, and skew-scattering contributions to the transport. We find that the skew scattering, principally responsible for the extrinsic contribution to the anomalous Hall effect, vanishes for the two-dimensional electron system if both chiral Rashba subbands are partially occupied, and vanishes always for the two-dimensional hole gas studied here, regardless of the band filling. Our prediction can be tested with the proposed coplanar two-dimensional electron-hole gas device and can be used as a benchmark to understand the crossover from the intrinsic to the extrinsic anomalous Hall effect.
authors.affiliation: Department of Physics, Texas A&M University, College Station, Texas 77843-4242, USA.
authors.forename: Mario
authors.initials: M
authors.lastname: Borunda
authors.forename: Tamara S
authors.initials: TS
authors.lastname: Nunner
authors.forename: Thomas
authors.initials: T
authors.lastname: Lück
authors.forename: N A
authors.initials: NA
authors.lastname: Sinitsyn
authors.forename: Carsten
authors.initials: C
authors.lastname: Timm
authors.forename: J
authors.initials: J
authors.lastname: Wunderlich
authors.forename: T
authors.initials: T
authors.lastname: Jungwirth
authors.forename: A H
authors.initials: AH
authors.lastname: MacDonald
authors.forename: Jairo
authors.initials: J
authors.lastname: Sinova