PATH INTEGRAL THEORY OF MAGNETIC ALLOYS

D. Hamann

Local moment formation and low temperature anomalies are studied by a path integral approach to Anderson's model. Each path represents a particular history for the fluctuating potential on the magnetic atom. A path's contribution to the partition function is calculated explicitly using the asymptotically exact method of Nozières and De Dominicis. A dominant set of paths is identified, and their contribution is shown to correspond exactly to an expression recently derived for the s-d exchange model by Anderson and Yuval. Approximate evaluation of this restricted path integral yields the characteristic Kondo temperature, and qualitatively correct predictions for various alloy properties.

Domaines: Articles anciens

D. Hamann. PATH INTEGRAL THEORY OF MAGNETIC ALLOYS. Journal de Physique Colloques, 1971, 32 (C1), pp.C1-207-C1-208. ⟨10.1051/jphyscol:1971164⟩. ⟨jpa-00214491⟩