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

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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].

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