Kondo effect in a Luttinger liquid

We treat the Kondo effect in one-dimensional interacting systems. We find that for repulsive interaction and off half filling, the Kondo temperature TK(J0)2/, where is the nonuniversal spin-density-wave exponent of the host system, J the Kondo coupling, and 0 the short-time cutoff. We also show that the wave-function orthogonality theorem remains true in a Luttinger liquid except that interactions reduce the power with which the overlap vanishes in the thermodynamic limit. © 1992 The American Physical Society.