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Using first-principles methods based on density-functional theory weinvestigate the spin relaxation in W(001) ultrathin films. Within the frameworkof the Elliott-Yafet theory we calculate the spin mixing of the Bloch statesand we explicitly consider spin-flip scattering off self-adatoms. We find anoscillatory behavior of the spin-mixing parameter and relaxation rate as afunction of the film thickness, which we trace back tosurface-state properties.We also analyze the Rashba effect experienced by the surface states and discussits influence on the spin relaxation. Finally we calculate the anisotropy ofthe spin-relaxation rate with respect to the polarization direction of theexcited spin population relative to the crystallographic axes of thefilm. Wefind that the spin-relaxation rate can increase by as much as 47% when the spinpolarization is directed out of plane, compared to the case when it is inplane. Our calculations are based on the multiple-scattering formalism of theKorringa-Kohn-Rostoker Green-function method.

Spin relaxation and the Elliott-Yafet parameter in W(001) ultrathin films: surface states, anisotropy and oscillation effects