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.

arXiv comment5 pages, 2 figures

References in corpus (56)

• Topological Insulators
• Spin torque switching with the giant spin Hall effect of tantalum
• Topological Field Theory of Time-Reversal Invariant Insulators
• Valley contrasting physics in graphene: magnetic moment and topological transport
• New Perspectives for Rashba Spin-Orbit Coupling
• Magnetic switching by spin torque from the spin Hall effect
• Spin Transfer Torques
• Spin Transfer Torque Generated by the Topological Insulator Bi_2Se_3
• Symmetry and magnitude of spin-orbit torques in ferromagnetic heterostructures
• Valley-Polarized Metals and Quantum Anomalous Hall Effect in Silicene
• Layer thickness dependence of the current induced effective field vector in Ta|CoFeB|MgO
• Current induced torques and interfacial spin-orbit coupling: Semiclassical Modeling
• Anomalous Hall Effect in Weyl Metals
• Inverse Spin-Galvanic Effect in a Topological-Insulator/Ferromagnet Interface
• Spin-pumping into surface states of topological insulator α-Sn, spin to charge conversion at room temperature
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Electric-field control of spin-orbit torque in a magnetically doped topological insulator
• Diffusive spin dynamics in ferromagnetic thin films with a Rashba interaction
• Spin-orbit torques in Co/Pt(111) and Mn/W(001) magnetic bilayers from first principles
• Spin and Charge Transport on the Surface of a Topological Insulator
• Fieldlike and antidamping spin-orbit torques in as-grown and annealed Ta/CoFeB/MgO layers
• Collective modes of a helical liquid
• Tolerance of topological surface states towards magnetic moments: Fe on Bi2Te3 and Bi2Se3
• Observation of inverse spin Hall effect in bismuth selenide
• Charge and spin Hall conductivity in metallic graphene
• Current-induced domain wall motion in Rashba spin-orbit system
• Quantum Kinetic Theory of Current-Induced Torques in Rashba Ferromagnets
• Dynamics of magnetization on the topological surface
• Current-induced torques and interfacial spin-orbit coupling
• Influence of a Transport Current on Magnetic Anisotropy in Gyrotropic Ferromagnets
• Electric charging of magnetic textures on the surface of a topological insulator
• Thin-Film Magnetization Dynamics on the Surface of a Topological Insulator
• Anomalous temperature dependence of current induced torques in CoFeB|MgO heterostructures with Ta based underlayers
• Current-induced torques in textured Rashba ferromagnets
• Intraband and interband spin-orbit torques in non-centrosymmetric ferromagnets
• Direct and inverse spin-orbit torques
• Anomalous Hall effect with massive Dirac fermions
• Band structure and spin texture of Bi${}_2$Se${}_3$/3d ferromagnetic metal interface
• Tunable Giant Spin Hall Conductivities in a Strong Spin-Orbit Semimetal: Bi${}_{1-x}$Sb${}_x$
• Angular dependence of spin-orbit spin transfer torques
• Current induced magnetization reversal on the surface of a topological insulator
• Spin-Torque Generation in Topological-Insulator-Based Heterostructures
• Topological Hall and Spin Hall Effects in Disordered Skyrmionic Textures
• Antidamping spin-orbit torque driven by spin-flip reflection mechanism on the surface of a topological insulator: A time-dependent nonequilibrium Green function approach
• Anomalous Hall effect in 2D Rashba ferromagnet
• Nonequilibrium spin texture within a thin layer below the surface of current-carrying topological insulator Bi${}_2$Se${}_3$: A first-principles quantum transport study
• Magnon-Mediated Dzyaloshinskii-Moriya Torque in Homogeneous Ferromagnets
• Spin and Orbital Magnetic Response on the Surface of a Topological Insulator
• Improved Domain Wall Dynamics and Magnonic Torques using Topological Insulators
• Spin-to-charge conversion in lateral and vertical topological-insulator/ferromagnet heterostructures with microwave-driven precessing magnetization
• Reading charge transport from spin dynamics on the surface of topological insulator
• Topological charge pumping effect by the magnetization dynamics on the Surface of Three-Dimensional Topological Insulators
• Charge-Induced Spin Torque in Anomalous Hall Ferromagnets
• Transport Properties of Dirac Ferromagnet
• Spin-charge transport driven by magnetization dynamics on disordered surface of doped topological insulators
• Unconventional Spin Hall Effect and Axial Current Generation in a Dirac Semimetal

Cited by in corpus (43)

• Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
• Room-temperature perpendicular magnetization switching through giant spin-orbit torque from sputtered BixSe(1-x) topological insulator material
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• 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