Electron-phonon interactions and Kohn anomalies

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Electron-phonon interactions

Phonons: Crystal Vibrations

Free Electrons in Lattice

Lattice Vibration and Phonons in 1D

Acoustical and Optical Phonon in 3D

Derivation of Hamiltonian Electron-Phonon Coupling

The Hamiltonian for the electron-phonon interaction can be described as
$H=H_{el}^{0}+H_{ph}^{0}+H_{coul}+H_{int}$

Feynman diagrams of electron-phonon coupling

The Polaron Problem

Electron-phonon interaction in the lattice model

Electrion-phonon interaction in the jellium model

Linear response calculations of electron-phonon interactions

Kohn anomalies

Examples

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