Generalized Kadowaki-Woods Relation in Heavy Fermion Systems with Orbital Degeneracy

We present a theoretical study of the Kadowaki-Woods relation in the orbitally degenerate periodic Anderson model. Based on Fermi liquid theory, we derive the generalized Kadowaki-Woods relation in the strong coupling limit, $A{\gamma }^{-2}\approx {10}^{-5}N(N-1)\mathrm{/}2$ [\mu\Omega cm(mol K/mJ)^2], where $A$ is the coefficient of the $T^2$ term in the resistivity, $\gamma$ is the $T$-linear specific heat coefficient, and $N$ is the $f$-orbital degeneracy. This result naturally explains the remarkably smaller value of $A{\gamma }^{-2}$ in various orbitally degenerate (mainly Yb-based) heavy Fermion systems, reported by Tsujii et al.: J. Phys. Cond. Mat. 15 (2003) 1993.