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.

References in corpus (4)

• Microscopic Calculation of Spin Torques in Disordered Ferromagnets
• Threshold Current of Domain Wall Motion under Extrinsic Pinning, $\beta$-Term and Non-Adiabaticity
• Current-driven vortex domain wall dynamics by micromagnetic simulations
• Spin torque and force due to current for general spin textures

Cited by in corpus (10)

• Spin-Torque Driven Magnetization Dynamics: Micromagnetic Modelling
• Theory of current-driven magnetization dynamics in inhomogeneous ferromagnets
• Spin Pumping of Current in Non-Uniform Conducting Magnets
• Current-Induced Torques in Magnetic Metals: Beyond Spin Transfer
• Domain walls in (Ga,Mn)As diluted magnetic semiconductor
• Electrical rectification effect in single domain magnetic microstrips: a micromagnetics-based analysis
• 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
• Gilbert and Landau-Lifshitz damping in the presense of spin-torque