Journal Article FZJ-2022-02839

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Generalization of the Landau–Lifshitz–Gilbert equation by multi-body contributions to Gilbert damping for non-collinear magnets

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2022
IOP Publ. Bristol

Journal of physics / Condensed matter 34(28), 285802 () [10.1088/1361-648X/ac699d]

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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.

Classification:

Contributing Institute(s):
  1. Quanten-Theorie der Materialien (IAS-1)
  2. Quanten-Theorie der Materialien (PGI-1)
  3. JARA-FIT (JARA-FIT)
  4. JARA - HPC (JARA-HPC)
Research Program(s):
  1. 5211 - Topological Matter (POF4-521) (POF4-521)

Appears in the scientific report 2022
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Medline ; Creative Commons Attribution CC BY 4.0 ; OpenAccess ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Essential Science Indicators ; IF < 5 ; JCR ; National-Konsortium ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection
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Institute Collections > PGI > PGI-1
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 Record created 2022-07-25, last modified 2023-01-23


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