A model for electrons existing in hybridized narrow and wide bands

Abstract

We propose a model for electrons existing in hybridized narrow and wide bands which occur in the transition metals, the mixed valence systems of rare earth metals and their compounds, and the doped semiconductors, etc. The model is derived from the standard basis operator (SBO) form of the extended Anderson model, originally proposed for the dilute magnetic alloys. The equation of motion method has been used to obtain the SBO's Green's functions and, thereby, the spectrum of the quasi-particle excitations. For translationally invariant systems, we found the possibility of the nonmetallic behavior and the metal-nonmetal transition for a nonintegral number of electrons per lattice site.