Home > Publications database > Generalization of the Landau–Lifshitz–Gilbert equation by multi-body contributions to Gilbert damping for non-collinear magnets |
Journal Article | FZJ-2022-02839 |
; ;
2022
IOP Publ.
Bristol
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Please use a persistent id in citations: http://hdl.handle.net/2128/31551 doi:10.1088/1361-648X/ac699d
Abstract: 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.
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