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 ${\left(\frac{U}{\Delta }\right)}^2$, where $U$ is the Coulomb interaction and $\Delta$ the $d$- level width. This shows that the Kondo effect is not properly included in the basic approximation.