Valence, electronic specific heat and magnetic susceptibility of alpha-cerium

Abstract

A sixfold degenerate Anderson Hamiltonian, which includes the Coulomb repulsion between localized and band states in the mean field approximation following Ramírez and Falicov, is treated in the limit of infinitely correlated 4ƒ states and to second order in the mixing parameter. Assuming a line width Γ ≈ 0.02 eV we obtain at low temperatures and 11 kbar, a valency of 3.76 and sizeable contributions from the 4ƒ levels to the electronic specific heat and magnetic susceptibility of alpha Ce. Thus we show, that the highly correlated picture necessary to the explanation of the alpha—gamma transition by Ramírez and Falicov needs not to be abandoned in order to explain the anomalies in alpha Ce.