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Using a formulation of first-principles scattering theory that includesdisorder and spin-orbit coupling on an equal footing, we calculate theresistivity $\rho$, spin flip diffusion length $l_{sf}$ and the Gilbert dampingparameter $\alpha$ for Ni$_{1-x}$Fe$_x$ substitutional alloys as a function of$x$. For the technologically important Ni$_{80}$Fe$_{20}$ alloy, permalloy, wecalculate values of $\rho = 3.5 \pm 0.15$ $\mu$Ohm-cm, $l_{sf}=5.5 \pm 0.3$ nm,and $\alpha= 0.0046 \pm 0.0001$ compared to experimental low-temperature valuesin the range $4.2-4.8$ $\mu$Ohm-cm for $\rho$, $5.0-6.0$ nm for $l_{sf}$, and$0.004-0.013$ for $\alpha$ indicating that the theoretical formalism capturesthe most important contributions to these parameters.

A unified first-principles study of Gilbert damping, spin-flip diffusion and resistivity in transition metal alloys