Universality in Heavy Fermion Systems with General Degeneracy

We discuss the relation between the T² coefficient of electrical resistivity A and the T-linear specific-heat coefficient γ for heavy-fermion systems with general N, where N is the degeneracy of quasiparticles. A set of experimental data reveals that the Kadowaki-Woods relation, $A/{{γ}}²=1×{}{10}^{{-}5} {μ}{Ω} cm(K mol/mJ{)}²$, collapses remarkably for large-$N$ systems, although this relation has been regarded to be commonly applicable to the Fermi liquids. Instead, based on the Fermi-liquid theory we propose a new relation, ${{}}{A}/{{{}}{{γ}}}²=1×{}{10}^{{-}5}$ with ${{}}{A}=A/1/2N(N{-}1)$ and ${{}}{{γ}}={γ}/1/2N(N{-}1)$. This new relation exhibits an excellent agreement with the data for the whole range of degenerate heavy fermions.