Renormalization-group study of a magnetic impurity in a Luttinger liquid

Department of Physics, University of Florida, Gainesville, Florida 32611-8440, USA

Received: 29 April 1997
Accepted: 27 July 1997

Abstract

A generalized Anderson model for a magnetic impurity in an interacting one-dimensional electron gas is studied via a mapping onto a classical Coulomb gas. For weak potential scattering, the local-moment parameter regime expands as repulsive bulk interactions become stronger, but the Kondo scale for the quenching of the impurity moment varies non-monotonically. There also exist two regimes dominated by backward potential scattering: one in which the impurity is non-magnetic, and another in which an unquenched local moment survives down to very low temperatures.