Gilbert damping phenomenology for two-sublattice magnets

Akashdeep Kamra, Roberto E. Troncoso, Wolfgang Belzig, Arne Brataas

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45 Scopus citations


We present a systematic phenomenological description of Gilbert damping in two-sublattice magnets. Our theory covers the full range of materials from ferro- via ferri- to antiferromagnets. Following a Rayleigh dissipation functional approach within a Lagrangian classical field formulation, the theory captures intra- as well as cross-sublattice terms in the Gilbert damping, parametrized by a 2×2 matrix. When spin pumping into an adjacent conductor causes dissipation, we obtain the corresponding Gilbert damping matrix in terms of the interfacial spin-mixing conductances. Our model reproduces the experimentally observed enhancement of the ferromagnetic resonance linewidth in a ferrimagnet close to its compensation temperature without requiring an increased Gilbert parameter. It also predicts new contributions to damping in an antiferromagnet and suggests the resonance linewidths as a direct probe of the sublattice asymmetry, which may stem from boundary or bulk.

Original languageEnglish
Article number184402
JournalPhysical Review B
Issue number18
StatePublished - 2 Nov 2018
Externally publishedYes


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