SCALING AND CRITICALITY OF THE KONDO EFFECT IN A LUTTINGER LIQUID

A quantum Monte Carlo simulation method has been developed and applied to study the critical behavior of a single Kondo impurity in a Luttin ger liquid. This numerically exact method has no finite-size limitatio ns and allows to simulate the whole temperature range. Focusing on the impurity magnetic susceptibility, we determine the scaling functions, in particular for temperatures well below the Kondo temperature. In t he absence of elastic potential scattering, we find Fermi-liquid behav ior for strong electron-electron interactions, g(c)<1/2, and anomalous power laws for 1/2<g(c)<1, where g(c) is the correlation parameter of the Luttinger liquid. These findings resolve a recent controversy. If elastic potential scattering is present, we find a logarithmically di vergent impurity susceptibility at g(c)<1/2 that can be rationalized i n terms of the two-channel Kondo model. [S0163-1829(98)06017-2].