Electron-phonon interaction and phonon dynamics in one-dimensional conductors: Spinless fermions

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Abstract
We consider electron-electron and electron-phonon interactions, in particular backward scattering by phonons, in one-dimensional metals. Particular emphasis is laid on the effects of finite phonon frequency. We calculate effective interaction constants and the effective mass enhancement due to the electron-phonon coupling. We find a significant enhancement of charge-density-wave fluctuations and of the electronic specific heat. A new theoretical approach allows us to discuss electron-electron and electron-phonon interactions on an equal footing; it is based on the limits of weak electron-phonon coupling, high phonon frequency, and strong coupling, low frequency, and gives good agreement in intermediate cases.