Resistivity of the Two-Channel Kondo Model in Infinite Dimensions

Abstract

Analytic results for the resistivity of the two-channel Kondo lattice in a particular infinite dimensional limit (Lorentzian density of states) are presented. It is argued that in the absence of symmetry breaking phase transitions or applied fields there is a residual resistivity at zero temperature due to the spin disorder scattering off of the two-channel screening clouds. This may explain the unusual resistivity of UBe$_{13}$. For the same limit the single channel Kondo lattice is an insulator states at particle hole symmetry and half filling, but metallic away from particle-hole symmetry or in applied magnetic field.