Mott-Ioffe-Regel limit and resistivity crossover in a tractable electron-phonon model
Mott-Ioffe-Regel limit and resistivity crossover in a tractable electron-phonon model
Many metals display resistivity saturation---a substantial decrease in the slope of the resistivity as a function of temperature that occurs when the electron scattering rate ${\ensuremath{\tau}}^{\ensuremath{-}1}$ becomes comparable to the Fermi energy ${E}_{F}/\ensuremath{\hbar}$ (the Mott-Ioffe-Regel limit). At such temperatures, the usual description of a metal in terms of ballistically propagating …