Electron-phonon interactions and Kohn anomalies: Difference between revisions

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== Electron-phonon interactions ==
== Electron-phonon interactions ==


===Free electrons in lattice ===


===Phonons: Crystal Vibrations===
===Phonons: crystal vibrations===
 
=== Free Electrons in Lattice ===


===Lattice Vibration and Phonons in 1D ===
===Lattice Vibration and Phonons in 1D ===
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===Jellium model===
===Jellium model===


===The Polaron Problem===
===The Polaron problem===


===Linear response calculations of electron-phonon interactions===
===Linear response calculations of electron-phonon interactions===

Revision as of 16:58, 12 December 2012

Electron-phonon interactions

Free electrons in lattice

Phonons: crystal vibrations

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

Electron-phonon interaction in the lattice model

Jellium model

The Polaron problem

Linear response calculations of electron-phonon interactions

Kohn anomalies

Examples