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We consider the spatial spin correlations around a completely screened spin-half and partially screened spin-1 magnetic moments in a metal exhibiting the fully screened and underscreened Kondo effects, respectively. We find that the underscreening of the impurity spin results in spatial spin correlations that are more pronounced as compared to the fully screened Kondo effect; their power-law decay is weaker because of characteristic logarithmic corrections at large distances. We also show that the long distance charge density oscillations in a metal induced by a weakly coupled spin-1/2 magnetic impurity exhibiting the Kondo effect are given, at zero temperature, by a universal function F(r/ξK) where r is the distance from the impurity and ξK, the Kondo screening cloud size =vF/TK, where vF is the Fermi velocity and TK is the Kondo temperature. F is calculated for all r/ξK using numerical renormalization group. |
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