ANOMALOUS HALL-EFFECT IN CERIUM-BASED KONDO SYSTEMS

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