Intraband and interband spin-orbit torques in non-centrosymmetric ferromagnets

Abstract

Intraband and interband contributions to the current-driven spin-orbit torque in magnetic materials lacking inversion symmetry are theoretically studied using Kubo formula. In addition to the current-driven field-like torque ${\mathbf{T}}_{\mathrm{FL}}={\tau }_{\mathrm{FL}}\mathbf{m}\times {\mathbf{u}}_{\mathrm{so}}$ (${\mathbf{u}}_{\mathrm{so}}$ being a unit vector determined by the symmetry of the spin-orbit coupling), we explore the intrinsic contribution arising from impurity-independent interband transitions and producing an anti-damping-like torque of the form ${\mathbf{T}}_{\mathrm{DL}}={\tau }_{\mathrm{DL}}\mathbf{m}\times ({\mathbf{u}}_{\mathrm{so}}\times \mathbf{m})$. Analytical expressions are obtained in the model case of a magnetic Rashba two-dimensional electron gas, while numerical calculations have been performed on a dilute magnetic semiconductor (Ga,Mn)As modeled by the Kohn-Luttinger Hamiltonian exchanged coupled to the Mn moments. Parametric dependences of the different torque components and similarities to the analytical results of the Rashba two-dimensional electron gas in the weak disorder limit are described.

arXiv comment10 pages, 5 figures

References in corpus (34)

• Anomalous Hall effect
• Spin torque switching with the giant spin Hall effect of tantalum
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• 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
• Theory of ferromagnetic (III,Mn)V semiconductors
• Layer thickness dependence of the current induced effective field vector in Ta|CoFeB|MgO
• Evidence for reversible control of magnetization in a ferromagnetic material via spin-orbit magnetic field
• Current induced torques and interfacial spin-orbit coupling: Semiclassical Modeling
• Relativistic Neel-order fields induced by electrical current in antiferromagnets
• Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
• Interplay of spin-orbit torque and thermoelectric effects in ferromagnet/normal metal bilayers
• Theory of Magnetic Anisotropy in III_{1-x}Mn_{x}V Ferromagnets
• Spin-orbit driven ferromagnetic resonance: A nanoscale magnetic characterisation technique
• 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
• Magnetization dynamics induced by in-plane currents in ultrathin magnetic nanostructures
• Current-induced domain wall motion in Rashba spin-orbit system
• Quantum Kinetic Theory of Current-Induced Torques in Rashba Ferromagnets
• Spin-orbit torques in Co/Pd multilayer nanowires
• Current-induced torques and interfacial spin-orbit coupling
• Influence of a Transport Current on Magnetic Anisotropy in Gyrotropic Ferromagnets
• Current-induced torques in the presence of spin-orbit coupling
• Current-induced torques in textured Rashba ferromagnets
• Magneto-gyrotropic effects in semiconductor quantum wells (review)
• Magneto crystalline anisotropies in (Ga,Mn)As: A systematic theoretical study and comparison with experiment
• Boltzmann theory of engineered anisotropic magnetoresistance in (Ga,Mn)As
• Piezo-Magneto-Electric Effects in p-Doped Semiconductors
• Systematic study of magnetic linear dichroism and birefringence in (Ga,Mn)As
• Detection of stacking faults breaking the [110]/[1-10] symmetry in ferromagnetic semiconductors (Ga,Mn)As and (Ga,Mn)(As,P)
• Tailoring spin-orbit torque in diluted magnetic semiconductors

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