Electron-phonon interaction in disordered conductors: Static and vibrating scattering potentials

@article{Sergeev2000ElectronphononII,
  title={Electron-phonon interaction in disordered conductors: Static and vibrating scattering potentials},
  author={Andrei Sergeev and Vladimir Mitin},
  journal={Physical Review B},
  year={2000},
  volume={61},
  pages={6041-6047}
}
Employing the Keldysh diagram technique, we calculate the electron-phonon energy relaxation rate in a conductor with the vibrating and static \ensuremath{\delta}-correlated random electron-scattering potentials. If the scattering potential is completely dragged by phonons, this model yields the Schmid's result for the inelastic electron-scattering rate ${\ensuremath{\tau}}_{e\ensuremath{-}\mathrm{ph}}^{\ensuremath{-}1}.$ At low temperatures the effective interaction decreases due to disorder… 

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