Temperature and frequency dependences of the conductivity of ferromagnetic metals

Quantum kinetic equations obtained by diagram methods using Kubo's formula are used to investigate the temperature and frequency dependences of the conductivity of ferromagnetic metals due to electron–magnon interaction processes. In the static case, the temperature dependence of the resistivity varies in accordance with the scenario $R(T)\sim T^{9/2}$ ($T\ll T_0$), $R(T)\sim T^2$ ($T_0\ll T\ll T_c$) and $R(T)\sim T$, $T_0\ll T\lesssim T_c$ ($T_0\sim T_c\frac{J^2}{\varepsilon_F}$ is the characteristic temperature at which the single-magnon processes commence). At high frequencies $\omega\gg T$ deviations of the frequency dependence of the conductivity from the Drude–Zener formula are obtained.