Properties of the Renormalized Random-Phase Approximation for Dilute Magnetic Alloys

The Anderson model for dilute magnetic alloys is studied in the renormalized random-phase approximation recently applied to the Wolff model by Suhl and co-workers. The resulting integral equations are solved analytically in an approximation which treats the key logarithmic divergence correctly. The solution indicates that the characteristic temperature in this theory depends exponentially on (UΔ)², where U is the Coulomb interaction and Δ the d- level width. This shows that the Kondo effect is not properly included in the basic approximation.