New realization of the Pippard condition: Inelastic electron-impurity scattering for crystalline alloys at very low temperatures

It is shown that the Pippard ineffectiveness condition for electron-phonon scattering leads to a new temperature dependence for the inelastic electron-impurity scattering resistivity ${\rho }_{\mathrm{imp}{}^{\mathrm{inel}(\mathrm{T}}}$) for crystalline alloys. A calculation of ${\rho }_{\mathrm{imp}{}^{\mathrm{inel}(\mathrm{T}}}$) was carried out as a function of temperature and as a function of the electron mean free path. The results were found to be in excellent agreement with the anomalous low-temperature resistivity data for potassium-rubidium alloys measured very recently by Bass et al. .AE