Kadowaki-Woods ratio for strongly coupled Fermi liquids

On the basis of the Fermi liquid theory, the Kadowaki-Woods ratio $A∕{\gamma }^2$ is evaluated by using a first principles band calculation for typical itinerant $d$- and $f$-electron systems. It is found as observed that the ratio for the $d$-electron systems is significantly smaller than that for the normal $f$ systems, even without considering their relatively weak correlation. The difference in the ratio value comes from different characters of the Fermi surfaces. By comparing Pd and $\mathrm{U}{\mathrm{Sn}}_3$ as typical cases, we discuss the importance of the Fermi-surface dependence of the quasiparticle transport relaxation.

Figure 1

$c_{ij}$ $(i,j=4,5,6)$ for Pd. The contribution from the fifth band is dominant for the resistivity.

Figure 2

$c_{ij}$ $(i,j=12,13,14)$ for $\mathrm{U}{\mathrm{Sn}}_3$. The interband contribution with the 14th band is important too.

Figure 3

The intersection of the Fermi surfaces of Pd $d$-hole states with the $\left(11\overline{1}\right)$ plane.

Figure 4

The intersection of the Fermi surfaces of $\mathrm{U}{\mathrm{Sn}}_3$ with the (100) plane.