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- W2023344882 abstract "The Gilbert parameter $ensuremath{alpha}$ describing the damping of magnetization dynamics is commonly taken to be an isotropic scalar. We argue that it is a tensor $underset{̱}{underset{̱}{ensuremath{alpha}}}$ that is anisotropic, leading to a dependence of the damping on both the instantaneous direction of the magnetization $mathbf{M}(t)$ (orientational anisotropy) and on the direction of rotation of the magnetization (rotational anisotropy). For small-angle precession of $mathbf{M}$ around a prescribed axis in the crystal, the rotational anisotropy of Ni, Co, and Fe is calculated as a function of the electronic scattering rate. For circular precession, the rotational anisotropy of $mathbf{M}$ is averaged out and the damping is determined by an effective damping scalar ${ensuremath{alpha}}_{text{eff}}$ which depends on the axis of rotation. The quantity ${ensuremath{alpha}}_{text{eff}}$ of Ni, Co, and Fe is calculated for various crystallographic orientations. All calculations are performed by the ab initio density-functional electron theory within the framework of the torque-correlation model. The intraband contribution of this model (breathing Fermi-surface contribution) maintains both orientational and rotational anisotropy for all scattering rates. In contrast, the interband contribution (bubbling Fermi-surface contribution) exhibits these anisotropies only at small scattering rates $({ensuremath{tau}}^{ensuremath{-}1})$ and becomes increasingly isotropic (both orientationally and rotationally) as ${ensuremath{tau}}^{ensuremath{-}1}$ increases. Because the interband contribution dominates at high ${ensuremath{tau}}^{ensuremath{-}1}$, each material should exhibit isotropic damping at sufficiently high ${ensuremath{tau}}^{ensuremath{-}1}$ (i.e., sufficiently high temperatures)." @default.
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- W2023344882 date "2010-05-17" @default.
- W2023344882 modified "2023-10-10" @default.
- W2023344882 title "Anisotropic damping of the magnetization dynamics in Ni, Co, and Fe" @default.
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- W2023344882 doi "https://doi.org/10.1103/physrevb.81.174414" @default.
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