TY  - JOUR
AU  - Brinker, Sascha
AU  - dos Santos Dias, Manuel
AU  - Lounis, Samir
TI  - Generalization of the Landau–Lifshitz–Gilbert equation by multi-body contributions to Gilbert damping for non-collinear magnets
JO  - Journal of physics / Condensed matter
VL  - 34
IS  - 28
SN  - 0953-8984
CY  - Bristol
PB  - IOP Publ.
M1  - FZJ-2022-02839
SP  - 285802
PY  - 2022
AB  - 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.
LB  - PUB:(DE-HGF)16
C6  - 35453127
UR  - <Go to ISI:>//WOS:000796206700001
DO  - DOI:10.1088/1361-648X/ac699d
UR  - https://juser.fz-juelich.de/record/908794
ER  -