Year: 1969
Type: article
Abstract: The electron-phonon interaction matrix element is examined in a modified tight-binding approximation. It is found that the matrix element is proportional to the bandwidth and therefore very small for an extremely narrow band. Paradoxically, in the usual Bloch tight-binding approximation the same matrix element which is proportional to the well-known Bloch constant C , is also found to be proportional to the bandwidth for intra-band transitions. The reasons for this equivalence are discussed. Inter-band transitions where the two matrix elements differ grossly in magnitude are also considered.
Author: T K Mitra
Institution: University of Liverpool
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2052755123