The Fermi surface and Fermi liquid properties of periodic Kondo and mixed valence systems

The nature of the Fermi liquid in strongly interacting periodic systems is considered utilizing the Luttinger sum rule on the volume of the Fermi surface. The most striking conclusions are found for the Kondo lattice problem, where the ’’localized’’ f electrons modify the Fermi surface qualitatively. Related effects are well-known in impurity cases, e.g., the Kondo problem, where the analogous Friedel sum rule is satisfied by collective enhancements of the susceptibility and specific heat. The unique features of the periodic Fermi liquid are the existence of a sharp Fermi surface, the anomalous properties of which are susceptible to direct experimental measurements. It is proposed that CeX3(X = Al, Sn, or Pd) compounds are good examples and that measurements of the Fermi surface in high magnetic fields can provide definitive experimental tests.