
Accession Number : AD0718903
Title : Resonant Scattering by Impurities in Metals and the Anderson Model,
Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF PHYSICS
Personal Author(s) : Rivier,N. ; Zitkova,J.
Report Date : 1971
Pagination or Media Count : 33
Abstract : The Anderson Hamiltonian, written in a representation where the extra orbital is not orthogonal to the conduction states, is used to derive a general theory of the electronic structure of dilute alloys. The theory describes both simple impurities in the overcomplete or Wolff limit, and transition or rareearth impurities where the scattering of the conduction electrons has a resonance. The extraorbital of Anderson is shown to be identical to a bound state extracted from higher bands by the impurity potential, and overlapping the conduction band in energy. The resonant scattering of conduction electrons is described by a pseudopotential, which is singular in energy, in analogy to the theory of band structures of pure transition elements. The position and width of the resonance, as well as a direct scattering potential introduced by the nonorthogonality, are given in terms of Anderson's parameters. The resonance is narrowed by the nonorthogonality and disappears in the overcomplete limit. (Author)
Descriptors : (*BAND THEORY OF SOLIDS, ALLOYS), ATOMIC ORBITALS, RESONANCE SCATTERING, ELECTRICAL RESISTANCE, HAMILTONIAN, ELECTRONS, IMPURITIES
Subject Categories : Solid State Physics
Distribution Statement : APPROVED FOR PUBLIC RELEASE