Two-impurity Kondo problem for correlated electrons
Karen Hallberg, Reinhold Egger

TL;DR
This paper investigates how two magnetic impurities interact with correlated electrons in one dimension, revealing a suppressed Kondo cloud and a 1/R^2 decay of magnetic correlations due to electron interactions.
Contribution
It provides a detailed numerical analysis of the two-impurity Kondo problem in correlated 1D systems using DMRG, highlighting the effects of electron correlations on magnetic behavior.
Findings
Small Kondo screening cloud due to electron correlations
Suppressed magnetic order in correlated electrons
Magnetic correlations decay as 1/R^2 at large distances
Abstract
The behavior of two magnetic impurities coupled to correlated electrons in one dimension is studied using the DMRG technique for several fillings. On-site Coulomb interactions among the electrons lead to a small Kondo screening cloud and an overall suppression of magnetic order. For arbitrary electronic correlations and large inter-impurity distances R, we find a 1/R^2 decay of magnetic correlations.
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