Self-Consistent Treatment of Anderson Model and Magnetic Susceptibility

Abstract

The method of the double-time Green function is applied to the Anderson model, and an integral equation corresponding to the Nagaoka-Hamann equation in the s-d exchange model is derived. This integral equation is solved exactly in the limit U →∞, and the magnetic susceptibility is calculated using this solution. The calculation is similar to that of Zittartz in the s-d exchange model, but the Curie constant becomes zeor as T →0, and our susceptibility remains positive compared with the result of Zittartz which becomes negative for S = ½. The expression for resistivity is also obtained, and its behavior is qualitatively the same as that of Theumann.