Abstract
The high-frequency limit of the electrical conductivity of nonmagnetic transition metals is calculated. The conduction electrons are assumed to be scattered by the spin fluctuations in the partially filled $d$ bands. The frequency-dependent conductivity has a Drude-type form, in which the scattering rate is itself frequency dependent. The scattering rate is increased as the magnetic susceptibility is enhanced by the spin fluctuations. The scattering rate exhibits a complicated frequency and temperature dependence. However, in the dc limit it does follow the low-temperature ${T}^{2}$ law of electron-electron collisions followed at higher temperatures by a linear dependence on $T$. On the other hand, at $T=0$, the scattering rate is proportional to ${\ensuremath{\omega}}^{2}$ for low frequency.
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