title: Extrinsic and intrinsic contributions to the spin Hall effect of alloys.
abstract: A fully relativistic description of the spin-orbit induced spin Hall effect is presented that is based on Kubo's linear response formalism. Using an appropriate operator for the spin-current density a Kubo-Středa-like equation for the spin Hall conductivity (SHC) is obtained. An implementation using the Korringa-Kohn-Rostoker band structure method in combination with the coherent potential approximation allow detailed investigations on various alloy systems. A decomposition of the SHC into intrinsic and extrinsic contributions is suggested. Accompanying calculations for the skew-scattering contribution of the SHC using the Boltzmann equation demonstrate the equivalence to the Kubo formalism in the dilute alloy regime and support the suggested decomposition scheme.
authors.affiliation: Department Chemie, Physikalische Chemie, Universität München, Butenandstr. 5-13, 81377 München, Germany.
authors.forename: Stephan
authors.initials: S
authors.lastname: Lowitzer
authors.forename: Martin
authors.initials: M
authors.lastname: Gradhand
authors.forename: Diemo
authors.initials: D
authors.lastname: Ködderitzsch
authors.forename: Dmitry V
authors.initials: DV
authors.lastname: Fedorov
authors.forename: Ingrid
authors.initials: I
authors.lastname: Mertig
authors.forename: Hubert
authors.initials: H
authors.lastname: Ebert