Angular dependence of spin-orbit spin transfer torques

Abstract

In ferromagnet/heavy metal bilayers, an in-plane current gives rise to spin-orbit spin transfer torque which is usually decomposed into field-like and damping-like torques. For two-dimensional free-electron and tight-binding models with Rashba spin-orbit coupling, the field-like torque acquires nontrivial dependence on the magnetization direction when the Rashba spin-orbit coupling becomes comparable to the exchange interaction. This nontrivial angular dependence of the field-like torque is related to the Fermi surface distortion, determined by the ratio of the Rashba spin-orbit coupling to the exchange interaction. On the other hand, the damping-like torque acquires nontrivial angular dependence when the Rashba spin-orbit coupling is comparable to or stronger than the exchange interaction. It is related to the combined effects of the Fermi surface distortion and the Fermi sea contribution. The angular dependence is consistent with experimental observations and can be important to understand magnetization dynamics induced by spin-orbit spin transfer torques

9 pages, 3 figures

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• Microscopic theory of spin-orbit torques and skyrmion dynamics
• Dirac Spin-Orbit Torques at the Surface of Topological Insulators
• Spin-memory loss due to spin-orbit coupling at ferromagnet/heavy-metal interfaces: Ab initio spin-density matrix approach
• On the origin of magnetization auto-oscillations in constriction-based spin Hall nano-oscillators
• Spin Swapping Transport and Torques in Ultrathin Magnetic Bilayers
• Interfacial spin-orbit torques
• Mixed Weyl semimetals and dissipationless magnetization control in insulators by spin-orbit torques
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• First Principles Study of Angular Dependence of Spin-Orbit Torque in Pt/Co and Pd/Co Bilayers
• Effective field analysis using the full angular spin-orbit torque magnetometry dependence
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• Semiclassical theory of spin-orbit torques in disordered multiband electron systems
• First-principles quantum transport modeling of spin-transfer and spin-orbit torques in magnetic multilayers
• 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
• Accurate analysis for harmonic Hall voltage measurement for spin-orbit torques
• Unified theory of magnetization dynamics with relativistic and nonrelativistic spin torques
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• Macro-spin Modeling and Experimental Study of Spin-orbit Torque Biased Magnetic Sensors
• Interfacial Rashba magnetoresistance of two-dimensional electron gas at LaAlO${}_3$/SrTiO${}_3$ interface
• Dynamical current-induced ferromagnetic and antiferromagnetic resonances
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• Intrinsic spin-orbit torque in an antiferromagnet with a weakly noncollinear spin configuration
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• Spin-Orbit Torque and Magnetization Switching in 2D Ferromagnetic Devices