Universality in heavy-fermion systems with general degeneracy

Details Universality in heavy-fermion systems with general degeneracy Universality in heavy-fermion systems with general degeneracy

2005-01-11

arxiv.org/abs/cond-mat/0501237v1

Physics

Condensed Matter

Strongly Correlated Electrons

2 figures, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.94.057201

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; $A/\gamma^{2} = 1*10^{-5} {\mu\Omega}(K mol/mJ)^{2}$, 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; $\tilde{A}/\tilde{\gamma}^2=1\times10^{-5}$ 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.

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