Effect of electron-phonon interaction on the shift and attenuation of optical phonons
L. A. Falkovsky

TL;DR
This paper investigates how electron-phonon interactions influence the frequency shift and damping of optical phonons in metals, highlighting the role of screening and providing theoretical insights consistent with recent findings.
Contribution
It introduces a detailed analysis of electron-phonon effects on optical phonons, emphasizing the importance of screening and damping mechanisms in metals.
Findings
Optical phonons soften due to screening effects.
Electron-phonon interaction causes additional phonon damping.
Frequency shifts are influenced by electron-phonon coupling.
Abstract
Using the Boltzmann equation for electrons in metals, we show that the optical phonons soften and have a dispersion due to screening in agreement with the results reported recently [M. Reizer, Phys. Rev. B {\bf 61}, 40 (2000)]. Additional phonon damping and frequency shift arise when the electron--phonon interaction is properly included.
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