On the Renormalized Random Phase Approximation for Dilute Magnetic Alloys

The Anderson model for dilute magnetic alloys is studied in the renormalized random phase approximation which has recently been applied to the Wolff model by Suhl and his co-workers. The resulting integral equations are solved approximately with a suitable trial function which becomes asymptotically self-consistent in the limit U / πΔ→∞, where U is the Coulomb interaction and Δ the d-level width. The solution is proved to give incorrect temperature dependence of the resistivity and the zero-frequency susceptibility in comparison with the rigorous results obtained by other methods.