Anisotropic s-f Interaction in Rare Earth Metals. I. Fundamental Consideration Based on the Free Electron Model

Abstract

General treatment of the s-f anisotropic exchange interaction is given based on the formulation of Kaplan and Lyons. The free electron model is assumed, and the results given as an expansion in k_f\barr_f. Various types of induced f-f interactions are also obtained as an expansion in k_f\barr_f. The range of these f-f interactions is shown to increase with the order. The contribution to the electrical resistivity is also given together with the contribution from screened multipole scattering. Qualitative comparison with actual rare earth metals may be made by using a more realistic band model.