Exact, asymptotic, three-dimensional, space- and time-dependent, Green’s functions in the multichannel Kondo effect

Abstract

Exact 3D space- and time-dependent Green’s functions are computed for the multichannel Kondo effect in the universal large-distance, long-time regime, using conformal field theory. They exhibit crossover from Fermi-liquid form far away, to singular non-Fermi-liquid behavior, near the impurity, where charge, spin, and ‘‘flavor’’ degrees of freedom become ‘‘deconfined.’’ Explicit expressions are given for the resistivity, ρ, for all k and for the spin-density and pair-density Green’s functions, for k=2. For k=2, ρ(T)-ρ(0)∝${\mathit{T}}^{1/2}$ and the pair susceptibility ∝lnT.