Enhanced Gilbert Damping in Thin Ferromagnetic Films

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Abstract
The precession of the magnetization of a ferromagnet is shown to transfer spins into adjacent normal metal layers. This “pumping” of spins slows down the precession corresponding to an enhanced Gilbert damping constant in the Landau-Lifshitz equation. The damping is expressed in terms of the scattering matrix of the ferromagnetic layer, which is accessible to model and first-principles calculations. Our estimates for permalloy thin films explain the trends observed in recent experiments.