Fermi Liquid Theory on the Basis of the Periodic Anderson Model with Spin-Orbit Coupling and Crystalline Field

Abstract

In order to discuSs the normal-state properties of heavy-fermion systems, the Fermi liquid theory is developed on the basis of the periodic Anderson model with arbitrary spin-orbit coupling and crystalline field. For the unperturbed (U =0) case, the electronic band structure is determined; then the expressions of T-linear coefficif:mt of specific heat and magnetic susceptibility are derived. For U =1= 0, the general expressions for T -lineGlr coefficient of specific heat and magnetization are derived. However, the expression for magnetic susceptibility cannot generally be brought into such a usual form that includes only the quantities on the Fermi surface because of the existence of off-diagonal elements of I-electron self-energy. Therefore, the susceptibility is calculated in the special case that only the lowest Kramers doublet is taken into account.