Model calculation of the static magnetic susceptibility in light rare earth metallic systems

Using the impurity Anderson model in the large Nf approximation, where Nf is the orbital and spin degeneracy of the f level, we calculate the zero temperature static paramagnetic susceptibility of light rare earth metallic systems. The calculation is performed for large values of the Coulomb Uff electron-electron interactions with respect of the V hybridization of f1 and f2 configurations with the conduction states: we only keep the leading terms in a development in successive powers of 1/Uff and V. Our numerical results on the magnetic susceptibility start from a simple analytic expression and are discussed in terms of the f level position, the hybridization V, the shape and filling of the conduction band and also the finite Uff effects. Finally we present calculated curves for the susceptibility versus V in connection with the α γ transition of cerium and utilizing the same parameters as those used previously to obtain core level LIII absorption spectra: also in the case of the susceptibility, the hybridization appears to be an important parameter to describe the phase change from γ to α cerium