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 <br/> | 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> | \begin{equation}\label{reio} | ||
<math>H = H^0_{el} + H^0_{ph} + H_{coul} + H_{int}</math> </br> | |||
\end{equation} | |||
Where | |||
<math>H^0_{el} = </math> | |||
---- | ---- | ||
Revision as of 17:07, 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
\begin{equation}\label{reio}
\end{equation}
Where
