Ground State Properties of an Anderson Hamiltonian with Splitting Due to Crystal Field and Spin-Orbit Interactions

Abstract

The density function theorem is proven that there is a unique one-to-one correspondence at the absolute zero temperature between the density of f electrons and the depth of f levels. The ground state properties such as the Kondo temperature, and the charge and spin susceptibilities are calculated for infinitely large Coulomb correlation, and they are expressed in terms of the density instead of the depth. An application to a lattice Anderson Hamiltonian (or the dense Kondo state) is briefly discussed; the correction due to nearly empty excited f multiplets is small enough to be ignored in the critical number of occupied f electrons for the realization of the dense Kondo state; the critical number is very close to unity.