%0 Journal Article
%A Brinker, Sascha
%A dos Santos Dias, Manuel
%A Lounis, Samir
%T Generalization of the Landau–Lifshitz–Gilbert equation by multi-body contributions to Gilbert damping for non-collinear magnets
%J Journal of physics / Condensed matter
%V 34
%N 28
%@ 0953-8984
%C Bristol
%I IOP Publ.
%M FZJ-2022-02839
%P 285802
%D 2022
%X We propose a systematic and sequential expansion of the Landau–Lifshitz–Gilbert equation utilizing the dependence of the Gilbert damping tensor on the angle between magnetic moments, which arises from multi-body scattering processes. The tensor consists of a damping-like term and a correction to the gyromagnetic ratio. Based on electronic structure theory, both terms are shown to depend on e.g. the scalar, anisotropic, vector-chiral and scalar-chiral products of magnetic moments: ei ⋅ ej, (nij ⋅ ei)(nij ⋅ ej), nij ⋅ (ei × ej), ${({\mathbf{e}}_{i}\cdot {\mathbf{e}}_{j})}^{2}$, ei ⋅ (ej × ek) ..., where some terms are subjected to the spin–orbit field nij in first and second order. We explore the magnitude of the different contributions using both the Alexander–Anderson model and time-dependent density functional theory in magnetic adatoms and dimers deposited on Au(111) surface.
%F PUB:(DE-HGF)16
%9 Journal Article
%$ 35453127
%U <Go to ISI:>//WOS:000796206700001
%R 10.1088/1361-648X/ac699d
%U https://juser.fz-juelich.de/record/908794