Derivation of Kondo Anomalous Scattering from the Anderson Dilute-Alloy Model

Abstract

The Anderson extra-orbital dilute-alloy model is shown to lead to the same type of anomalous conduction-electron scattering found by Kondo from the $s-d$ exchange model. This is accomplished by evaluating the $d$-state Green's function to fourth order in the $s-d$ mixing potential and in the limit of large repulsion between two $d$-state electrons, using equation-of-motion techniques.