Resistivity of the Two-Channel Kondo Model in Infinite Dimensions

TL;DR

This paper analytically investigates the resistivity behavior of the two-channel Kondo lattice in an infinite-dimensional limit, revealing residual resistivity at zero temperature due to spin disorder, and compares it with the single-channel case.

Contribution

It provides the first analytic results for the resistivity of the two-channel Kondo lattice in a specific infinite-dimensional limit, highlighting residual resistivity and its implications.

Findings

Residual resistivity persists at zero temperature due to spin disorder.

Two-channel Kondo lattice remains metallic or insulating depending on symmetry and doping.

Comparison with single-channel Kondo lattice shows different ground state behaviors.

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.