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The screening of an impurity spin in the Kondo model occurs over a characteristic length scale $\xi_K$, that defines the size of the Kondo screening cloud or ``mist". The presence of such a length sc A consistent way to show the presence of…

Strongly Correlated Electrons · Physics 2024-01-30 Erik S. Sørensen

Renormalization group theory of the Kondo effect predicts that an impurity spin is screened by a conduction electron spread over a large distance of order >.1 to 1 micron. This review has the following sections: 1. The Kondo effect and the…

Strongly Correlated Electrons · Physics 2007-05-23 Ian Affleck

A fundamental prediction of scaling theories of the Kondo effect is the screening of an impurity spin by a cloud of electrons spread out over a mesoscopic distance. This cloud has never been observed experimentally. Recently, aspects of the…

Strongly Correlated Electrons · Physics 2009-10-31 Ian Affleck , Pascal Simon

A scaling form for the local susceptibility, derived from renormalization group arguments, is proposed. The scale over which the uniform part of this scaling form varies can be viewed as a definition of the Kondo ``screening cloud" $\sim…

Condensed Matter · Physics 2009-10-28 Erik Sorensen , Ian Affleck

The Kondo effect involves the formation of a spin singlet by a magnetic impurity and conduction electrons. It is characterized by a low temperature scale, the Kondo temperature, $T_K$, and an associated long length scale, $\xi_K = \hbar…

Mesoscale and Nanoscale Physics · Physics 2010-01-09 Ian Affleck

We demonstrate the existence of a large Kondo screening cloud in the k-channel Kondo model using both renormalization group improved perturbation theory and the large-k limit. We study position (r) dependent spin Green's functions in both…

Strongly Correlated Electrons · Physics 2009-10-30 Victor Barzykin , Ian Affleck

When a magnetic impurity exists in a metal, conduction electrons form a spin cloud that screens the impurity spin. This basic phenomenon is called the Kondo effect. Contrary to electric charge screening, the spin screening cloud occurs…

Mesoscale and Nanoscale Physics · Physics 2023-03-02 I. V. Borzenets , J. Shim , J. Chen , A. Ludwig , A. Wieck , S. Tarucha , H. -S. Sim , M. Yamamoto

The Kondo effect is theoretically studied in a quantum dot embedded in a mesoscopic ring. The ring is connected to two external leads, which enables the transport measurement. Using the "poor man's" scaling method, we obtain analytical…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Ryosuke Yoshii , Mikio Eto

The existence of a length-scale $\xi_K\sim 1/T_K$ (with $T_K$ the Kondo temperature) has long been predicted in quantum impurity systems. At low temperatures $T\ll T_K$, the standard interpretation is that a spin-$\tfrac{1}{2}$ impurity is…

Strongly Correlated Electrons · Physics 2011-09-21 Andrew K. Mitchell , Michael Becker , Ralf Bulla

A theoretical concept is presented for the screening of several magnetic moments locally exchange coupled to conduction electrons in a metallic nanostructure. We consider a quantum confined multi-impurity Kondo model which exhibits the…

Mesoscale and Nanoscale Physics · Physics 2015-10-06 Andrej Schwabe , Mirek Hänsel , Michael Potthoff , Andrew K. Mitchell

A magnetic moment in a metal or in a quantum dot is, at low temperatures, screened by the conduction electrons through the mechanism of the Kondo effect. This gives rise to spin-spin correlations between the magnetic moment and the…

Strongly Correlated Electrons · Physics 2009-11-24 Andreas Holzner , Ian P. McCulloch , Ulrich Schollwöck , Jan von Delft , Fabian Heidrich-Meisner

We make a precise scaling conjecture, based on renormalization group ideas, regarding the screening cloud around an impurity spin in the Kondo effect and test it numerically using the Density Matrix Renormalization Group method.

Condensed Matter · Physics 2007-05-23 Erik Sorensen , Ian Affleck

We analyze the crossover from Kondo to weak-link regime by means of a model of tunable bond impurities in the middle of a spin-1/2 XXZ Heisenberg chain. We study the Kondo screening cloud and estimate the Kondo length by combining…

Strongly Correlated Electrons · Physics 2019-01-01 Domenico Giuliano , Davide Rossini , Andrea Trombettoni

We study the spatial distribution of the Kondo screening cloud. We find that in 3 D the spatial range of the cloud is limited to distances of the order of the Fermi wavelength due to angular dispersion effects. In lower dimensions this…

Mesoscale and Nanoscale Physics · Physics 2007-08-28 Jorge Simonin

The screening of an impurity spin by conduction electrons is associated with the formation of a large Kondo screening cloud, of size xi_K. We study the quantum entanglement between a region of size r surrounding the impurity and the rest of…

Strongly Correlated Electrons · Physics 2007-05-23 Erik S. Sørensen , Ming-Shyang Chang , Nicolas Laflorencie , Ian Affleck

We 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/xi_K) where r is the…

Strongly Correlated Electrons · Physics 2008-06-04 Ian Affleck , Laszlo Borda , Hubert Saleur

We investigate how the Kondo screening cloud builds up as a function of space and time. Starting from an impurity spin decoupled from the conduction band, the Kondo coupling is switched on at time t=0. We work at the Toulouse point where…

Mesoscale and Nanoscale Physics · Physics 2013-09-25 M. Medvedyeva , A. Hoffmann , S. Kehrein

We analyze the Kondo effect of a magnetic impurity attached to an ultrasmall metallic wire using the density matrix renormalization group. The spatial spin correlation function and the impurity spectral density are computed for system sizes…

Strongly Correlated Electrons · Physics 2007-05-23 T. Hand , J. Kroha , H. Monien

We consider the spatial spin correlations around a partially screened spin-1 magnetic moment in a metal exhibiting the underscreened Kondo effect. We find that the underscreening of the impurity spin results in spatial spin correlations…

Strongly Correlated Electrons · Physics 2009-04-03 L. Borda , M. Garst , J. Kroha

We study the Kondo model --a magnetic impurity coupled to a one dimensional wire via exchange coupling-- by using Wilson's numerical renormalization group (NRG) technique. By applying an approach similar to which was used to compute the two…

Strongly Correlated Electrons · Physics 2007-05-23 Laszlo Borda
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