Spin-orbit torques from interfacial spin-orbit coupling for various interfaces

Abstract

We use a perturbative approach to study the effects of interfacial spin-orbit coupling in magnetic multilayers by treating the two-dimensional Rashba model in a fully three-dimensional description of electron transport near an interface. This formalism provides a compact analytic expression for current-induced spin-orbit torques in terms of unperturbed scattering coefficients, allowing computation of spin-orbit torques for various contexts, by simply substituting scattering coefficients into the formulas. It applies to calculations of spin-orbit torques for magnetic bilayers with bulk magnetism, those with interface magnetism, a normal metal/ferromagnetic insulator junction, and a topological insulator/ferromagnet junction. It predicts a dampinglike component of spin-orbit torque that is distinct from any intrinsic contribution or those that arise from particular spin relaxation mechanisms. We discuss the effects of proximity-induced magnetism and insertion of an additional layer and provide formulas for in-plane current, which is induced by a perpendicular bias, anisotropic magnetoresistance, and spin memory loss in the same formalism.

24 pages, 9 figures

References in corpus (13)

• Direct electronic measurement of the spin Hall effect
• Theory of spin Hall magnetoresistance
• Scaling behavior of the spin pumping effect in ferromagnet/platinum bilayers
• Rashba-Edelstein Magnetoresistance in Metallic Heterostructure
• Vertex Corrections on the Anomalous Hall Effect in Spin-polarized Two-dimensional Electron Gases with Rashba Spin-orbit Interaction
• Anisotropic tunneling magnetoresistance and tunneling anisotropic magnetoresistance: spin-orbit coupling in magnetic tunnel junctions
• Experimental Demonstration of the Co-existence of the Spin Hall and Rashba Effects in beta-Tantalum/Ferromagnet Bilayers
• Intrinsic magnetoresistance in metal films on ferromagnetic insulators
• Spin motive force induced by Rashba interaction in the strong sd coupling regime
• Ballistic spin transport in the presence of interfaces with strong spin-orbit coupling
• Perpendicular magnetic anisotropy of two-dimensional Rashba ferromagnets
• Modeling Near-Surface Bound Electron States in Three-Dimensional Topological Insulator: Analytical and Numerical Approaches
• Nonvanishing anisotropic magnetoresistance in Rashba two-dimensional electron systems with nonmagnetic disorders

Cited by in corpus (7)

• Spin-orbit torques in heavy metal/ferromagnet bilayers with varying strength of interfacial spin-orbit coupling
• Spin-orbit torques in NbSe${}_2$/Permalloy bilayers
• Spin-memory loss due to spin-orbit coupling at ferromagnet/heavy-metal interfaces: Ab initio spin-density matrix approach
• Ballistic spin transport in the presence of interfaces with strong spin-orbit coupling
• Hybridization-induced interface states in a topological insulator-magnetic metal heterostructure
• Spin transparency for an interface of an ultrathin magnet within the spin dephasing length
• Dzyaloshinskii-Moriya interaction induced extrinsic linewidth broadening of ferromagnetic resonance