Mott-Ioffe-Regel limit and resistivity crossover in a tractable electron-phonon model

@article{Werman2016MottIoffeRegelLA,
  title={Mott-Ioffe-Regel limit and resistivity crossover in a tractable electron-phonon model},
  author={Yochai Werman and Erez Berg},
  journal={Physical Review B},
  year={2016},
  volume={93},
  pages={075109}
}
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 $\tau^{-1}$ becomes comparable to the Fermi energy $E_F/\hbar$ (the Mott-Ioffe-Regel limit). At such temperatures, the usual description of a metal in terms of ballistically propagating quasiparticles is no longer valid. We present a tractable model of a large $N$ number of electronic bands coupled to $N^2$ optical phonon… 

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