Universality in heavy-fermion systems with general degeneracy

Abstract

We discuss the relation between the T^{2}-coefficient of electrical resistivity $A$ and the T-linear specific-heat coefficient $\gamma$ for heavy-fermion systems with general $N$, where $N$ is the degeneracy of quasi-particles. A set of experimental data reveals that the Kadowaki-Woods relation; $A/{\gamma }^2=1\ast 10^{-5}\mu \Omega (Kmol/mJ{)}^2$, 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; $\tilde{A}/{\tilde{\gamma }}^2=1\times 10^{-5}$ with $\tilde{A}=A/(1/2)N(N-1)$ and $\tilde{\gamma }=\gamma /(1/2)N(N-1)$. This new relation exhibits an excellent agreement with the data for whole the range of degenerate heavy-fermions.

2 figures, to appear in Phys. Rev. Lett

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