Interplay between the spin transfer and spin orbit torques on domain walls at the 5d/3d-alloy interfaces

The manipulations of domain wall (DW) in thin ferromagnetic layers by current and the spin-orbit coupling (SOC) have attracted significant interest [1]. We report two band model calculations of the spin torque (ST) and the spin current (SC) at 5d/3d interfaces with head-to-head, Bloch and Neel DWs. These calculations are based on the non-equilibrium Green Function formalism and the tight binding Hamiltonian including the s-d exchange interactions and the Rashba SOC parameterized on the basis of ab-initio calculations for Fe/W, FeCo/Ta and Co/Pt interfaces. We find that SOC significantly modifies the ST and violates relations between the spin transfer torque and the divergence of the spin current [2]. \\[4pt] [1] I. M. Miron \textit{et al}., Nature \textbf{476}, 189 (2011).\\[0pt] [2] A. Kalitsov \textit{et al}., Phys. Rev. B \textbf{79}, 174416 (2009).