Surface spin-transfer torque and spin-injection effective field in ferromagnetic junctions: Unified theory
R. J. Elliott, E. M. Epshtein, Yu. V. Gulyaev, P. E. Zilberman
Abstract
We consider theoretically a current flowing perpendicular to interfaces of a spin-valve type ferromagnetic metallic junction. For the first time an effective approach is investigated to calculate a simultaneous action of the two current effects, namely, the nonequilibrium longitudinal spin injection and the transversal spin-transfer surface torque. Dispersion relation for fluctuations is derived and solved. Nonlinear problem is solved about steady state arising due to instability for a thick enough free layer.
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