Resonant scattering of electrons in the presence of coupling to phonons

Abstract

We consider the resonant scattering of an electron from a localized object, in the presence of coupling to a spectrum of phonons. The discussion is carried out within the framework of the Friedel model of a virtual level; the electron couples to the phonons while it resides in this level. Within a certain approximation (the residence time of the electron in the virtual level is short compared to the period of vibration motion in the lattice), we obtain an expression for the cross section for elastic scattering off the center in the presence of electron-phonon coupling, and for scattering off the center with multiphonon emission. The results are compared with an earlier analysis of the problem by the present author, based on a semiclassical picture.

Surface-projected spectral densities in crystal with planar defects

“…In this model the defect can be regarded as a coherent contact between two crystalline half-spaces connected through atomic interactions which differ from the atomic interactions in each half-space. Such a model describes the interface qualitatively, and was used earlier both to emphasize the interface contribution to the surface wave properties [16,17] and the agreement of the form of the boundary conditions in the long-wavelength limit [18], and to show the peculiarities of the interfilm exchange in magnetic multilayers [19].…”