Anderson lattice and universal properties of heavy fermion systems

Using the Kondo Boson - 1/N expansion, the authors solve the Fermi liquid properties of the Anderson lattice at low temperatures. The Kondo limit of this model is shown to necessarily induce large mass enhancements m*/m>>1, and generate a low lying energy scale /anti/T/sub K / α (m*/m)/sup /minus/1/, which dominates the dynamics of this heavy Fermi liquid. In particular, the authors calculation leads to the following predictions: (1) The specific heat C/sub V/ = γT α T//anti/T/sub K/ with corrections ΔC/sub V/ = (T//anti/T/sub K/)3log(T//anti/T/sub K/) (2) The zero temperature spin susceptibility ξ α 1//anti/T/sub K/, and (3) the resistivity /rho/ α (T//anti/T/sub K/)2. They analyze recent pressure dependent C/sub V/, ξ and /rho//T2 measurements on UPt3 to confirm the scaling of these quantities with a single strongly pressure dependent energy scale. The universality of these relations is supported by evidence of systematic trends throughout the entire class of heavy fermion compounds