Fermi Liquid Description of Periodic Anderson Hamiltonian

Abstract

A Fermi liquid description of a periodic Anderson Hamiltonian is presented by following Luttinger. The Fermi surface sum rule is proved. It is shown that the specific heat coefficient and the static spin susceptibility at the absolute zero temperature are related with the expansion coefficients of the self-energy of f electrons. The expansion coefficients are estimated in the single-site approximation for Coulomb correlation larger than the width of conduction bands. A possibility is pointed out that two or more than two conduction bands play a role in metallic valence fluctuating rare-earth compounds. The effective mass of quasi-particles depends on the separation between conduction bands.