Linear mean free path and quadratic temperature dependence of electron-phonon scattering rate in V₈₂Al_18-xFe_x alloys at low temperature

We have reported a comprehensive study on temperature and disorder dependence of inelastic electron dephasing scattering rate in disordered V₈₂Al_18-xFe_x alloys. The dephasing scattering time has been measured by analysis of low field magnetoresistance using the weak localization theory. In absence of magnetic field the variation of low temperature resistivity rise follows the relation Δρ(T)∝−ρ₀^5/2√(T), which is well described by three-dimensional electron-electron interactions. The temperature-independent dephasing rate strongly depends on disorder and follows the relation τ₀⁻¹∝l_e, where l_e is the electron elastic mean free path. The inelastic electron-phonon scattering rate obeying the anomalous relation τ_e−ph⁻¹∝T²l_e. This anomalous behavior of τ_e−ph⁻¹ cannot be explained in terms of current theories for electron-phonon scattering in impure dirty conductors