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 rare-earth impurities where the scattering of the conduction electrons has a resonance. The extra-orbital 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