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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

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

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

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

Quantum impurity models are the prototypical examples of quantum many-body dynamics which manifests in their spectral and transport properties. Single channel Anderson(and Kondo model) leads to the Fermi liquid ground state in the strong…

Strongly Correlated Electrons · Physics 2017-11-30 Rukhsan Ul Haq , Anirban Sharma

Quantum critical behavior in the two-impurity Kondo model requires the distinct separation of two scales, T_K >> T*, where T_K is the Kondo temperature and T* is the scale at which the system renormalizes away from the quantum critical…

Mesoscale and Nanoscale Physics · Physics 2011-11-01 Justin Malecki , Eran Sela , Ian Affleck

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

We study triangular clusters of three spin-1/2 Kondo or Anderson impurities that are coupled to two conduction leads. In the case of Kondo impurities, the model takes the form of an antiferromagnetic Heisenberg ring with Kondo-like exchange…

Mesoscale and Nanoscale Physics · Physics 2009-03-06 Rok Zitko Janez Bonca

We analyze the single-channel Kondo model using the recently developed unitary renormalization group (URG) method, and obtain a comprehensive understanding of the Kondo screening cloud. The fixed-point low-energy Hamiltonian enables the…

Strongly Correlated Electrons · Physics 2022-02-18 Anirban Mukherjee , Abhirup Mukherjee , N. S. Vidhyadhiraja , A. Taraphder , Siddhartha Lal

We study the system of two magnetic impurities described by a two-impurity Kondo model where only the first impurity couples directly to the conduction band, while the second impurity interacts with the first through Heisenberg exchange…

Strongly Correlated Electrons · Physics 2009-12-14 Rok Zitko

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

We study the breakdown of Kondo screening by a local magnetic field from the perspective of a measurement-driven entanglement transition in a monitored quantum system. Here, the Kondo coupling leads to the growth in entanglement of an…

Strongly Correlated Electrons · Physics 2026-02-25 Debraj Debata , Abhirup Mukherjee , Siddhartha Lal

The problem of two magnetic impurities in a normal metal exposes the two opposite tendencies in the formation of a singlet ground state, driven respectively by the single-ion Kondo effect with conduction electrons to screen impurity spins…

Strongly Correlated Electrons · Physics 2015-04-24 Rong-Qiang He , Jianhui Dai , Zhong-Yi Lu

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

We investigate the boundary phenomena that arise in a finite-size $XX$ spin chain interacting through an $XX$ interaction with a spin$-\frac{1}{2}$ impurity located at its edge. Upon Jordan-Wigner transformation, the model is described by a…

Strongly Correlated Electrons · Physics 2025-07-17 Pradip Kattel , Yicheng Tang , J. H. Pixley , Natan Andrei

A magnetic impurity embedded in a metal host is collectively screened by a cloud of conduction electrons to form a Kondo singlet below a characteristic energy scale $T_K$, the Kondo temperature, through the mechanism of the Kondo effect. We…

Strongly Correlated Electrons · Physics 2022-01-19 Ru Zheng , Rong-Qiang He , Zhong-Yi Lu

The pseudogap Kondo problem, describing a magnetic impurity embedded in an electronic environment with a power-law density of states, displays continuous quantum phase transitions between free and screened moment phases. In this paper we…

Strongly Correlated Electrons · Physics 2007-05-23 Lars Fritz , Serge Florens , Matthias Vojta

The Kondo effect, deriving from a local magnetic impurity mediating electron-electron interactions, constitutes a flourishing basis for understanding a large variety of intricate many-body problems. Its experimental implementation in…

Mesoscale and Nanoscale Physics · Physics 2023-11-29 C. Piquard , P. Glidic , C. Han , A. Aassime , A. Cavanna , U. Gennser , Y. Meir , E. Sela , A. Anthore , F. Pierre

Measurements of the persistent current in a ring containing a quantum dot would afford a unique opportunity to finally detect the elusive Kondo screening cloud. We present the first large-scale numerical results on this controversial…

Strongly Correlated Electrons · Physics 2009-11-10 Erik S. Sørensen , Ian Affleck

We analyse the role which the distance scale $\xi_K = v_F/T_K$ plays in the single-impurity Kondo problem using renormalization group improved perturbation theory. We derive the scaling functions for the local spin susceptibility in various…

Condensed Matter · Physics 2009-10-28 Victor Barzykin , Ian Affleck
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