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The magnetoresistance of a three-dimensional Rashba material placed on top ofa ferromagnetic insulator is theoretically investigated. In addition to theintrinsic Rashba spin-orbit interaction, we also consider extrinsic spin-orbitcoupling via side-jump and skew scattering, and the Elliott-Yafet spinrelaxation mechanism. The latter is anisotropic due to the mass anisotropywhich reflects the noncentrosymmetric crystal structure of three-dimensionalRashba metals. A quasiclassical approach is employed to derive a set of coupledspin-diffusion equations, which are supplemented by boundary conditions thataccount for the spin-transfer torque at the interface of the bilayer. Themagnetoresistance is fully determined by the current-induced spin polarization,i.e., it cannot in general be ascribed to a single (bulk) spin Hall angle. Ourtheoretical results reproduce several features of the experiments, at leastqualitatively, and contain established phenomenological results in the relevantlimiting cases. In particular, the anisotropy of the Elliott-Yafet spinrelaxation mechanism plays a major role for the interpretation of the observedmagnetoresistance.

Quasiclassical theory of the spin-orbit magnetoresistance of three-dimensional Rashba metals