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

Abstract

We present a theoretical study of the Kadowaki–Woods relation in the orbitally degenerate periodic Anderson model. Based on the Fermi liquid theory, we derive the generalized Kadowaki–Woods relationin the strong coupling limit, Aγ⁻²≈10⁻⁵⁄\\frac12N(N−1) [μΩ cm (mol·K/mJ)²], where A is the coefficient of the T² term in the resistivity, γ is the T-linear specific heat coefficient, and N is the f-orbital degeneracy. This result naturally explains the remarkably smaller value of Aγ⁻² in various orbitally degenerate (mainly Yb-based) heavy Fermion systems, reported by Tsujii et al. [J. Phys.: Condens. Matter 15 (2003) 1993].