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 (54)

• Spin torque switching with the giant spin Hall effect of tantalum
• Universal Intrinsic Spin-Hall Effect
• Current-driven dynamics of chiral ferromagnetic domain walls
• Spin Torque Ferromagnetic Resonance Induced by the Spin Hall Effect
• Direct electronic measurement of the spin Hall effect
• Spin Transfer Torque Generated by the Topological Insulator Bi_2Se_3
• Symmetry and magnitude of spin-orbit torques in ferromagnetic heterostructures
• Spin Hall Magnetoresistance Induced by a Non-Equilibrium Proximity Effect
• Model Hamiltonian for Topological Insulators
• Theory of spin Hall magnetoresistance
• Quantifying spin Hall angles from spin pumping: Experiments and Theory
• Spin Pumping and Inverse Spin Hall Effect in Platinum: The Essential Role of Spin-Memory Loss at Metallic Interfaces
• Role of transparency of platinum-ferromagnet interface in determining intrinsic magnitude of spin Hall effect
• Scaling of spin Hall angle in 3d, 4d and 5d metals from Y3Fe5O12/metal spin pumping
• Detection and quantification of inverse spin Hall effect from spin pumping in permalloy/normal metal bilayers
• Comparative Measurements of Inverse Spin Hall and Magnetoresistance in YIG|Pt and YIG|Ta
• Quantitative study of the spin Hall magnetoresistance in ferromagnetic insulator/normal metal hybrids
• Current induced torques and interfacial spin-orbit coupling: Semiclassical Modeling
• Finite-element theory of transport in ferromagnet-normal metal systems
• Spin torque study of the spin Hall conductivity and spin diffusion length in platinum thin films with varying resistivity
• Suppression of the Persistent Spin Hall Current by Defect Scattering
• Spin Hall magnetoresistance in metallic bilayers
• Spin Transport at Interfaces with Spin-Orbit Coupling: Phenomenology
• Scaling behavior of the spin pumping effect in ferromagnet/platinum bilayers
• Diffusive spin dynamics in ferromagnetic thin films with a Rashba interaction
• Spin-transport in multi-terminal normal metal - ferromagnet systems with non-collinear magnetizations
• Giant room temperature interface spin Hall and inverse spin Hall effects
• Spin Transport at Interfaces with Spin-Orbit Coupling: Formalism
• Magnetization dynamics induced by in-plane currents in ultrathin magnetic nanostructures
• Chirality from interfacial spin-orbit coupling effects in magnetic bilayers
• Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling
• Magnetic proximity effect at the 3D topological insulator/magnetic insulator interface
• Quantum Kinetic Theory of Current-Induced Torques in Rashba Ferromagnets
• Rashba-Edelstein Magnetoresistance in Metallic Heterostructure
• Berry phase theory of Dzyaloshinskii-Moriya interaction and spin-orbit torques
• Doppler shift picture of the Dzyaloshinskii--Moriya interaction
• Detection of the microwave spin pumping using the inverse spin Hall effect
• Anisotropic tunneling magnetoresistance and tunneling anisotropic magnetoresistance: spin-orbit coupling in magnetic tunnel junctions
• Vertex Corrections on the Anomalous Hall Effect in Spin-polarized Two-dimensional Electron Gases with Rashba Spin-orbit Interaction
• Prediction of Giant Spin Motive Force due to Rashba Spin-Orbit Coupling
• Experimental Demonstration of the Co-existence of the Spin Hall and Rashba Effects in beta-Tantalum/Ferromagnet Bilayers
• Current-induced torques in textured Rashba ferromagnets
• Magnetic proximity effect in the 3D topological insulator/ferromagnetic insulator heterostructure
• Phase-sensitive detection of spin pumping via the ac inverse spin Hall effect
• Intrinsic magnetoresistance in metal films on ferromagnetic insulators
• Anisotropic magnetoresistance driven by surface spin orbit scattering
• 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
• Interface induced states at the boundary between a 3D topological insulator Bi${}_2$Se${}_3$ and a ferromagnetic insulator EuS
• Perpendicular magnetic anisotropy of two-dimensional Rashba ferromagnets
• Modeling Near-Surface Bound Electron States in Three-Dimensional Topological Insulator: Analytical and Numerical Approaches
• Intrinsic Spin Torque Without Spin-Orbit Coupling
• Spin Torque in Anisotropic Tunneling Junctions
• Nonvanishing anisotropic magnetoresistance in Rashba two-dimensional electron systems with nonmagnetic disorders

Cited by in corpus (32)

• Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
• Orbital Torque: Torque Generation by Orbital Current Injection
• Spin-orbit torques in heavy metal/ferromagnet bilayers with varying strength of interfacial spin-orbit coupling
• Theory of Current-Induced Angular Momentum Transfer Dynamics in Spin-Orbit Coupled Systems
• Maximizing Spin-Orbit Torque Generated by the Spin Hall Effect of Pt
• Spin-orbit torques in NbSe${}_2$/Permalloy bilayers
• Perspectives of Electrically generated spin currents in ferromagnetic materials
• An Intrinsic Spin Orbit Torque Nano-Oscillator
• Intrinsic spin-orbit torque arising from Berry curvature in metallic-magnet/Cu-oxide interface
• Switching of Perpendicular Magnetization by Spin-Orbit Torque
• Spin-memory loss due to spin-orbit coupling at ferromagnet/heavy-metal interfaces: Ab initio spin-density matrix approach
• Damping-like Torque in Monolayer 1T-TaS${}_2$
• Inductive detection of field-like and damping-like AC inverse spin-orbit torques in ferromagnet/normal metal bilayers
• Ballistic spin transport in the presence of interfaces with strong spin-orbit coupling
• Determination of spin Hall angle in heavy metal/CoFeB-based heterostructures with interfacial spin-orbit fields
• Scattering-induced and highly tunable by gate damping-like spin-orbit torque in graphene doubly proximitized by two-dimensional magnet Cr${}_2$Ge${}_2$Te${}_6$ and WS${}_2$
• Interfacial contributions to spin-orbit torque and magnetoresistance in ferromagnet/heavy-metal bilayers
• First-principles quantum transport modeling of spin-transfer and spin-orbit torques in magnetic multilayers
• Hybridization-induced interface states in a topological insulator-magnetic metal heterostructure
• Spin-orbit-proximitized ferromagnetic metal by monolayer transition metal dichalcogenide: Atlas of spectral functions, spin textures and spin-orbit torques in Co/MoSe${}_2$, Co/WSe${}_2$ and Co/TaSe${}_2$ heterostructures
• Absence of significant spin current generation in Ti/FeCoB bilayers with strong interfacial spin-orbit coupling
• Interfacial Dzyaloshinskii-Moriya interaction and spin-orbit torque in Au1-xPtx/Co bilayers with varying interfacial spin-orbit coupling
• Unveiling the polarity of the spin-to-charge current conversion in $B{i}_{2}S{e}_3$
• Experimental Evidence of Non-Negligible Imaginary Part of Spin Mixing Conductance and Its Impact on Magnetization Dynamics in Heavy-Metal|Ferromagnet Bilayers
• Magnon-mediated spin currents in Tm3Fe5O12/Pt with perpendicular magnetic anisotropy
• Interfacial spin Hall effect and spin swapping in Fe|Au bilayer from first principles
• Spin transparency for an interface of an ultrathin magnet within the spin dephasing length
• Bulk and interface spin-orbit torques in Pt/Co/MgO thin film structures
• Measurement of the Spin Absorption Anisotropy in Lateral Spin Valves
• Theory of in-plane current induced spin torque in metal/ferromagnet bilayers
• Dzyaloshinskii-Moriya interaction induced extrinsic linewidth broadening of ferromagnetic resonance
• Spin-Orbit Torque and Magnetization Switching in 2D Ferromagnetic Devices