Theory of Phonon–Electron Interaction in Metals

Abstract

Ab initio calculations for h.c.p. metals are presented for the matrix element of electron–phonon interaction, Eliashberg function, and anisotropy of the transport function for the [101¯0] and [0001] directions. The theory takes into account the real shape of the crystal potential and its total variation due to excitation, which is caused by the presence of a phonon in the lattice. This approach allows going beyond the classical approach of the rigid-ions’ approximation and permits to take into account the anisotropy of the physical properties of crystals with non-cubic symmetry.

Keywords