Influence of non-local damping on magnon properties of ferromagnets

Abstract

We study the influence of non-local damping on magnon properties of Fe, Co, Ni and Fe${}_{1-x}$Co${}_x$ ($x=30\%,50\%$) alloys. The Gilbert damping parameter is typically considered as a local scalar both in experiment and in theoretical modelling. However, recent works have revealed that Gilbert damping is a non-local quantity that allows for energy dissipation between atomic sites. With the Gilbert damping parameters calculated from a state-of-the-art real-space electronic structure method, magnon lifetimes are evaluated from spin dynamics and linear response, where a good agreement is found between these two methods. It is found that non-local damping affects the magnon lifetimes in different ways depending on the system. Specifically, we find that in Fe, Co, and Ni the non-local damping decreases the magnon lifetimes, while in $\mathrm{F}{\mathrm{e}}_{70}\mathrm{C}{\mathrm{o}}_{30}$ and Fe${}_{50}$Co${}_{50}$ an opposite, non-local damping effect is observed, and our data show that it is much stronger in the former.

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• Spin-lattice couplings in $3d$ ferromagnets: analysis from first-principles
• Theoretical determination of Gilbert damping in reduced dimensions
• Chiral Magnons: Mechanisms and Research Progress