Current-induced non-adiabatic spin torques and domain wall motion with spin relaxation in a ferromagnetic metallic wire

Abstract

Within the s-d model description, we derive the current-driven spin torque in a ferromagnet, taking explicitly into account a spin-relaxing Caldeira-Leggett bath coupling to the s-electrons. We derive Bloch-Redfield equations of motion for the s-electron spin dynamics, and formulate a systematic gradient expansion to obtain non-adiabatic (higher-order) corrections to the well-known adiabatic (first-order) spin torque. We provide simple analytical expressions for the second-order spin torque. The theory is applied to current-driven domain wall motion. Second-order contributions imply a deformation of a transverse tail-to-tail domain wall. The wall center still moves with a constant velocity that now depends on the spin-polarized current in a non-trivial manner.

Phys. Rev. B, in press, replaced with published version

References in corpus (15)

• Non-collinear Magnetoelectronics
• Thermal Spin-Transfer Torques in Magnetoelectronic Devices
• Spin Transfer Torque for Continuously Variable Magnetization
• Microscopic Calculation of Spin Torques in Disordered Ferromagnets
• Current-induced magnetization dynamics in disordered itinerant ferromagnets
• Functional Keldysh Theory of Spin Torques
• Threshold Current of Domain Wall Motion under Extrinsic Pinning, $\beta$-Term and Non-Adiabaticity
• Thermally-Assisted Current-Driven Domain Wall Motion
• Spin torque and force due to current for general spin textures
• A simple vision of current induced spin torque in domain walls
• Spin transfer torque in continuous textures: semiclassical Boltzmann approach
• Giant current-driven domain wall mobility in (Ga,Mn)As
• Magnetization damping in a local-density approximation
• Gauge Field Formulation of Adiabatic Spin Torques
• Transmission of correlated electrons through sharp domain walls in magnetic nanowires: a renormalization group approach

Cited by in corpus (13)

• Microscopic approach to current-driven domain wall dynamics
• Theory of current-driven magnetization dynamics in inhomogeneous ferromagnets
• Effects of non-adiabaticity on the voltage generated by a moving domain wall
• Theory of Domain Wall Dynamics under Current
• Calculation of current-induced torque from spin continuity equation
• Influence of magnetic viscosity on domain wall dynamics under spin-polarized currents
• Rashba induced chirality switching of domain walls and suppression of the Walker breakdown
• Nonequilibrium Rashba field driven domain wall motion in ferromagnetic nanowires
• The quantum-mechanical basis of an extended Landau-Lifshitz-Gilbert equation for a current-carrying ferromagnetic wire
• Nonlocal spin torques in Rashba quantum wires with steep magnetic textures
• Thermal fluctuation field for current-induced domain wall motion
• First-principles calculations of current-induced spin-transfer torques in magnetic domain walls
• Alternating Current-induced Interfacial Spin-transfer Torque