Anomalous hall-effect in cerium-based kondo systems

Abstract

A self-consistent perburbation theory to calculate magnetoresistivity, susceptibility, and the Hall constant for the crystal field split cerium based systems is employed. In this theory, excitonic and other correlations are included self-consistently. The resulting non-linear integral equations for the conduction electron scattering amplitude are solved perturbatively retaining terms up to fourth order in V, the Anderson mixing interaction. We calculate the Hall constant as a function of temperature for various positions of the f-level. We compare our results with the experimental data on cerium based compounds.