RKKY interaction and Kondo screening cloud for correlated electrons
Reinhold Egger (Freiburg), Herbert Schoeller (Karlsruhe)

TL;DR
This paper investigates the RKKY interaction and Kondo screening cloud in a 1D correlated electron system, revealing algebraic decay and a crossover influenced by electron correlations, supported by Monte Carlo simulations.
Contribution
It introduces a detailed analysis of RKKY and Kondo effects in 1D correlated electrons, highlighting the crossover behavior and correlation effects through simulations.
Findings
Algebraic decay of interactions with distance
Crossover between different behavioral regimes
Correlation effects increase Knight shift with distance
Abstract
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.
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