Magnetic and Thermodynamic Properties of The 3-D Anderson Lattice Hamiltonian

Abstract

Tight -binding models capture many of the qualitative features of interaction induced effects in solids. For example, the simplest such model, the single band Hubbard Hamiltonian, [1]describes the “Mott” insulating phase which occurs in correlated systems, despite the fact that the one electron band is nominally only half--filled, as well as the tendency Cowards magnetic order. Both phenomena occur in the transition metal oxides. The Periodic Anderson Model (PAM) is a step towards incorporating more complex orbital structure. [2]It contains a pair of orbitals on each site-a de-localized conduction band and a set of highly correlated, localized states. The PAM successfully describes conditions for transitions between antiferromagnetic order of the local moments and phases in which these moments are quenched into singlets paired with conduction electrons. [3] These phenomena are central to heavy fermion systems. [4] The pressure induced volume collapse in Ce has also been attributed to Kondo-like quenching of the local f moments in this metal, as has been discussed in the context of the impurity Anderson Model. [5]