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Formal Results on the Susceptibility of Dilute Alloys. II. Mean‐Field Approach and Applications
Author(s) -
Bisch P. M.,
Gomes A. A.
Publication year - 1976
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220760143
Subject(s) - coulomb , knight shift , impurity , condensed matter physics , hyperfine structure , inverse , mean field theory , exchange interaction , physics , electron , chemistry , atomic physics , materials science , quantum mechanics , mathematics , superconductivity , ferromagnetism , geometry
A mean field approach is adopted and a matrix formulation is used to obtain formal results for the susceptibility of a two band system (α, β). This general result includes the intra‐atomic Coulomb repulsions, one‐electron impurity potentials, and the change in the Coulomb interaction and inter‐band exchange at impurity site. The complete evaluation of the partial susceptibilities involves the calculation of inverse matrices, which is difficult to perform in the general case. Expressions for the self‐polarization hyperfine field, the Knight‐shift, and ESR g ‐shift are obtained for transition metal like systems (s‐d bands), using previous results obtained in I. It is shown that these quantities may be evaluated in terms of phase‐shift, involving only the density of states and the parameters of the problem.