Fermi-liquid theory of a pair of interacting Anderson impurities

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Abstract
We consider a pair of single-orbital Anderson impurities interacting with each other via a general two-body Hamiltonian. A Fermi-liquid theory is derived for low temperatures by using the Ward identities corresponding to the conservation of the total charge and the total spin. The specific heat and the spin and charge susceptibilities are expressed in terms of the Fermi-liquid parameters. We discuss some special cases, i.e., two Kondo impurities, two nonmagnetic ions, a pair of mixed-valence ions, and the case of spinless fermions.

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