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

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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 coefficient of specific heat and magnetic susceptibility are derived. For U ≠0, the general expressions for T-linear coefficientof 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 f-electron self-energy. Therefore, the susceptibility is calculated in the special case that only the lowest Kramers doublet is taken into account.

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