Fermi-liquid theory for the periodic Anderson model: Response functions

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Abstract
We present here a reformulation of the Fermi-liquid theory for the periodic Anderson model (for the particular case of the simplest type of Anderson Hamiltonian) in a basis in which c and f electrons are explicitly distinguished. We show that provided the system is normal, i.e., the f-electron self-energy is analytic in momentum and frequency near the Fermi wave vectors and Fermi energy, respectively, all quasiparticle parts of the response functions of the system reduce to the form as expected from our usual understanding of a Fermi liquid. In doing so we also show the validity of a kinetic equation, and are able to obtain formal formulas for the physical quantities that a quasiparticle carries when the corresponding quantities for the original electrons are given. We point out however that the value of these quantities, and also the nonquasiparticle part of the response, can in general be rather different from a too naive understanding to a single-component Fermi liquid.