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 Fermi liquid theory, we derive the generalized Kadowaki-Woods relation in the strong coupling limit, \(A\gamma^{-2} \approx 10^{-5} N(N-1)/2\) [\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.