RKKY interaction and Kondo screening cloud for correlated electrons

The RKKY law and the Kondo screening cloud around a magnetic impurity are investigated for correlated electrons in 1D (Luttinger liquid). We find slow algebraic distance dependences, with a crossover between both types of behavior. Monte Carlo simulations have been developed to study this crossover. In the strong coupling regime, the Knight shift is shown to increase with distance due to correlations.Comment: 5 pages REVTeX, incl two figures, to appear in Phys.Rev.