Dirac Spin-Orbit Torques at the Surface of Topological Insulators

Abstract

We address the nature of spin-orbit torques at the magnetic surfaces of topological insulators, using both Kubo formula and Keldysh formalism. Through the analysis of the derived spin-charge equations, we find that the so-called Dirac torques possess a different symmetry compared to their Rashba counterpart, as well as a high anisotropy as a function of the magnetization direction. In particular, the damping torque vanishes when the magnetization lies in the plane of the topological insulator surface. This peculiarity has important consequences in terms of magnetization dynamics and switching, as demonstrated numerically via a macrospin model.

5 pages, 2 figures

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• Topological Semimetal Nanostructures: From Properties to Topotronics
• Strongly exchange-coupled and surface-state-modulated magnetization dynamics in Bi2Se3/YIG heterostructures
• Spin-orbit torque in 3D topological insulator-ferromagnet heterostructure: crossover between bulk and surface transport
• Control of spin-orbit torques by interface engineering in topological insulator heterostructures
• Giant Edelstein effect in Topological-Insulator--Graphene heterostructures
• Spin and spin current -- From fundamentals to recent progress
• A new decomposition of the Kubo-Bastin formula
• Semiclassical equations of motion for disordered conductors: extrinsic interband velocity, corrected collision integral and spin-orbit torques
• Theory of current-driven dynamics of spin textures on a surface of topological insulators
• First-principles quantum transport modeling of spin-transfer and spin-orbit torques in magnetic multilayers
• Skew-scattering-induced giant antidamping spin-orbit torques: Collinear and out-of-plane Edelstein effects at two-dimensional material/ferromagnet interfaces
• 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
• Bulk and surface spin conductivity in topological insulators with hexagonal warping
• Electrical Switching of the Edge Current Chirality in Quantum Anomalous Hall Insulators
• Highly Tunable Spin-Orbit Torque and Anisotropic Magnetoresistance in a Topological Insulator Thin Film Attached to Ferromagnetic Layer
• Topological nature of the proper spin current and the spin-Hall torque
• Spin-Hall effect due to the bulk states of topological insulators: Extrinsic contribution to the conserved spin current
• Spin transfer torques due to the bulk states of topological insulators
• Voltage-driven Magnetization Switching via Dirac Magnetic Anisotropy and Spin--orbit Torque in Topological-insulator-based Magnetic Heterostructures
• Non-linear antidamping spin-orbit torque originating from intra-band transport on the warped surface of a topological insulator
• Spin-orbit torques from topological insulator surface states: Effect of extrinsic spin-orbit scattering on an out-of-plane magnetization
• Anisotropy of spin-transfer torques and Gilbert damping induced by Rashba coupling
• Spin torque and persistent currents caused by percolation of topological surface states
• Intrinsic torques emerging from anomalous velocity in magnetic textures
• Low power In Memory Computation with Reciprocal Ferromagnet/Topological Insulator Heterostructures
• Persistent currents and spin torque caused by percolated quantum spin Hall state
• Resonance spin transfer torque in ferromagnetic/normal/ferromagnetic spin-valve structure of topological insulators
• Voltage-control of damping constant in magnetic-insulator/topological-insulator bilayers
• Intrinsic Dynamic Generation of Spin Polarization by Time-Varying Electric Field
• Geometric Dynamics of Magnetization: Electronic Contribution
• Voltage-driven exchange resonance achieving 100\% mechanical efficiency
• Spin-torque resonance due to diffusive dynamics at a surface of topological insulator
• Proximity-induced zero-energy states indistinguishable from topological edge states
• Magnetic scattering with spin-momentum locking: Single scatterers and diffraction grating
• Spin accumulation in disordered topological insulator thin films
• Spin-orbit torques due to topological insulator surface states: an in-plane magnetization as a probe of extrinsic spin-orbit scattering
• Chiral edge transport along domain walls in magnetic topological insulator nanoribbons
• Hanle effect in current induced spin orientation
• Spin Wave Generation via Localized Spin-Orbit Torque in an Antiferromagnet-Topological Insulator Heterostructure