Electron-phonon interactions and Kohn anomalies: Difference between revisions

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===Derivation of Hamiltonian Electron-Phonon Coupling ===
===Derivation of Hamiltonian Electron-Phonon Coupling ===
The Hamiltonian for the electron-phonon interaction can be described as  
The Hamiltonian for the electron-phonon interaction can be described as </br>
<math>H = H^0_{el} + H^0_{ph} + H_{coul} + H_{int}</math>
<math>H = H^0_{el} + H^0_{ph} + H_{coul} + H_{int}</math>



Revision as of 16:53, 12 December 2012

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

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