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Electron–Phonon Interaction as Effective Electron–Electron Interaction

✍ Scribed by P. Enders

Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
361 KB
Volume
128
Category
Article
ISSN
0370-1972

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✦ Synopsis

Abstract

After rederiving the tight‐binding electron–phonon Hamiltonian for a diatomic chain with special emphasis on the dispersion of the coupling constant the linear electron–phonon interaction is transformed into an effective Electron–Electron one following Chatterjee and Mitra (CM). The subsequent Hartree‐Fock decoupling with inclusion of anomalous averages allows for a simple treatment. Within the one‐mode approximation (keeping q = 0‐phonons only), Bogolyubov's method of approximating Hamiltonian leads to the mean‐field result, therefore, CM's “opposite Born‐Oppenheimer approximation” cuts off the kinetic phonon energy.

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