Phenomenological description of the nonlocal magnetization relaxation in magnonics, spintronics, and domain-wall dynamics

Abstract

A phenomenological equation called Landau-Lifshitz-Baryakhtar (LLBar) equation, which could be viewed as the combination of Landau-Lifshitz (LL) equation and an extra "exchange damping" term, was derived by Baryakhtar using Onsager's relations. We interpret the origin of this "exchange damping" as nonlocal damping by linking it to the spin current pumping. The LLBar equation is investigated numerically and analytically for the spin wave decay and domain wall motion. Our results show that the lifetime and propagation length of short-wavelength magnons in the presence of nonlocal damping could be much smaller than those given by LL equation. Furthermore, we find that both the domain wall mobility and the Walker breakdown field are strongly influenced by the nonlocal damping.

10 pages, 6 figures

References in corpus (4)

• Mode- and size-dependent Landau-Lifshitz damping in magnetic nanostructures: Evidence for non-local damping
• Transverse spin diffusion in ferromagnets
• Inhomogeneous Gilbert damping from impurities and electron-electron interactions
• Origin of intrinsic Gilbert damping

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• Annihilation of topological solitons in magnetism with spin wave burst finale: The role of nonequilibrium electrons causing nonlocal damping and spin pumping over ultrabroadband frequency range
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