Adiabatic Domain Wall Motion and Landau-Lifshitz Damping

Abstract

Recent theory and measurements of the velocity of current-driven domain walls in magnetic nanowires have re-opened the unresolved question of whether Landau-Lifshitz damping or Gilbert damping provides the more natural description of dissipative magnetization dynamics. In this paper, we argue that (as in the past) experiment cannot distinguish the two, but that Landau-Lifshitz damping nevertheless provides the most physically sensible interpretation of the equation of motion. From this perspective, (i) adiabatic spin-transfer torque dominates the dynamics with small corrections from non-adiabatic effects; (ii) the damping always decreases the magnetic free energy, and (iii) microscopic calculations of damping become consistent with general statistical and thermodynamic considerations.

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Cited by in corpus (25)

• Spin-Torque Driven Magnetization Dynamics: Micromagnetic Modelling
• Theory of current-driven magnetization dynamics in inhomogeneous ferromagnets
• Non-adiabatic spin torque investigated using thermally activated magnetic domain wall dynamics
• Spin Pumping of Current in Non-Uniform Conducting Magnets
• Current-Induced Torques in Magnetic Metals: Beyond Spin Transfer
• Time-retarded damping and magnetic inertia in the Landau-Lifshitz-Gilbert equation self-consistently coupled to electronic time-dependent nonequilibrium Green functions
• Spin and charge pumping by steady or pulse current-driven magnetic domain wall: A self-consistent multiscale time-dependent-quantum/time-dependent-classical approach
• Respective influence of in-plane and out-of-plane spin-transfer torques in magnetization switching of perpendicular magnetic tunnel junctions
• Spin-wave contributions to current-induced domain wall dynamics
• Magnetic domain wall motion in a nanowire: depinning and creep
• Self-consistent calculation of spin transport and magnetization dynamics
• Domain walls in (Ga,Mn)As diluted magnetic semiconductor
• A Critical Analysis of the Feasibility of Pure Strain-Actuated Giant Magnetostrictive Nanoscale Memories
• Externally-driven transmission and collisions of domain walls in ferromagnetic wires
• Electrical rectification effect in single domain magnetic microstrips: a micromagnetics-based analysis
• Domain wall dynamics in easy-cone magnets
• Current-induced domain wall motion with adiabatic spin torque only in cylindrical nanowires
• Magnetic damping anisotropy in the two-dimensional van der Waals material Fe${}_3$GeTe${}_2$ from first principles
• Effect of spin diffusion on current generated by spin motive force
• Current-Induced Resonant Motion of a Magnetic Vortex Core: Effect of Nonadiabatic Spin Torque
• Non-equilibrium thermodynamic study of magnetization dynamics in the presence of spin-transfer torque
• Thermal fluctuation field for current-induced domain wall motion
• First-principles calculations of current-induced spin-transfer torques in magnetic domain walls
• Gilbert and Landau-Lifshitz damping in the presense of spin-torque
• Numerical analysis of the Landau--Lifshitz--Bloch equation with spin-torques