Abstract

A model for a superconductor with magnetic impurities is solved exactly on the basis of the method of approximating Hamiltonians. The model consists of a combination of the BCS model and the Zener s-d exchange interaction model. The thermodynamically equivalent Hamiltonian is constructed from which exact results are obtained in the thermodynamic limit for the energy gap and the magnetization. Thus it is proved rigorously that coexistence of superconductivity and ferromagnetism takes place in this model. The exact value for the Curie point of the Zener model is also obtained.

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