The Inelastic Scattering of an Electron by a Nonmagnetic Impurity in a Crystal

概要

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A formal study of the inelastic scattering of an electron by a localized imperfection in a crystal lattice is made. By use of the tight-binding approximation, the scattering cross section is calculated with particular attention paid to taking into account the change of the energy spectrum of phonons as well as that of the electron upon introduction of a non-magnetic, substitutional impurity atom into the crystal. The inelastic scattering cross section describing one-phonon processes is expressed in terms of secular determinants giving energy eigenvalues of both electronic and vibrational impurity states. It is shown that when the phonon system is strongly perturbed by the impurity inelastic scattering processes play an important role under certain circumstances; This is particularly so when the impurity gives rise to both lowfrequency vibrational and electronic resonant states. Emphasis is placed on the role of lowfrequency resonant phonon modes, by which the electron is shown to be scattered predominantly. Various limiting cases are considered to obtain analytical rather than numerical results for the scattering cross section.
理論物理学刊行会の論文
1969-11-25