Abstract
We study Gilbert damping in bulk metallic ferromagnets containing magnetic and nonmagnetic impurities in the presence of nonuniform magnetization precession. In this model, a microscopic expression for the Gilbert damping tensor is obtained using the linear response theory with respect to the interaction between magnetization and conduction electrons. We especially focus on a diagonal element of the tensor, which is a conventional Gilbert damping constant, and evaluate it numerically as a function of the wave vector q of magnetization precession. We show that the impurity scattering dominates Gilbert damping for 0<| q |< k F↑ - k F↓ , while the Stoner excitation dominates for k F↑ - k F↓ <| q |< k F↑ + k F↓ ( k Fσ is the Fermi wave number for σ spin electrons).
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