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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

The Kondo effect is a hallmark of strongly-correlated systems, where an impurity's local degrees of freedom are screened by conduction electrons, forming a many-body singlet. With increasing degrees of freedom in the impurity, theoretical…

Strongly Correlated Electrons · Physics 2026-05-15 Lidia Stocker , Oded Zilberberg

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

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

Using the natural orbitals renormalization group (NORG) method, we have investigated the screening of the local spin of an Anderson impurity interacting with the helical edge states in a quantum spin Hall insulator. We find that there is a…

Strongly Correlated Electrons · Physics 2022-01-17 Ru Zheng , Rong-Qiang He , Zhong-Yi Lu

Using the natural orbitals renormalization group, we studied the problem of a localized spin- 1/2 impurity coupled to two helical liquids via the Kondo interaction in a quantum spin Hall insulator, based on the Kane-Mele model defined in a…

Strongly Correlated Electrons · Physics 2023-03-28 Ru Zheng , Rong-Qiang He , Zhong-Yi Lu

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

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 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

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

The mechanism of Kondo screening in strongly correlated molecules with several unpaired electrons on a metal surface is still under debate. Here, we provide a theoretical framework that rationalizes the emergence of Kondo screening…

Strongly Correlated Electrons · Physics 2024-10-17 Aitor Calvo-Fernández , Manish Kumar , Diego Soler-Polo , Asier Eiguren , María Blanco-Rey , Pavel Jelínek

The Kondo effect, an eminent manifestation of many-body physics in condensed matter, is traditionally explained as exchange scattering of conduction electrons on a spinful impurity in a metal. The resulting screening of the impurity's local…

Strongly Correlated Electrons · Physics 2019-05-28 M. Gomilšek , R. Žitko , M. Klanjšek , M. Pregelj , C. Baines , Y. Li , Q. M. Zhang , A. Zorko

The Kondo effect, a hallmark of strong correlation physics, is characterized by the formation of an extended cloud of singlet states around magnetic impurities at low temperatures. While many implications of the Kondo cloud's existence have…

Mesoscale and Nanoscale Physics · Physics 2021-06-28 André Erpenbeck , Guy Cohen

We disentangle all the individual degrees of freedom in the quantum impurity problem to deconstruct the Kondo singlet, both in real and energy space, by studying the contribution of each individual free electron eigenstate. This is a…

Strongly Correlated Electrons · Physics 2017-03-08 Chun Yang , Adrian E. Feiguin

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 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 in a one-dimensional spin-1/2 XXZ model in the gapless XY regime (-1<Delta<=1) is studied both analytically and numerically. In our model an impurity spin (S=1/2) is coupled to a single spin in the XXZ spin chain.…

Strongly Correlated Electrons · Physics 2009-10-31 A. Furusaki , T. Hikihara

A magnetic impurity with a larger $S=1$ spin remains partially screened by the Kondo effect when embedded in a metal. However, when placed within an $s$-wave superconductor, the interplay between the superconducting energy gap $\Delta$ and…

Mesoscale and Nanoscale Physics · Physics 2025-09-29 Anand Manaparambil , Cătălin Paşcu Moca , Gergely Zaránd , Ireneusz Weymann

We study the Kondo physics of a quantum magnetic impurity in two-dimensional topological superconductors (TSCs), either intrinsic or induced on the surface of a bulk topological insulator, using a numerical renormalization group technique.…

Superconductivity · Physics 2019-03-06 Rui Wang , W. Su , Jian-Xin Zhu , C. S. Ting , Hai Li , Changfeng Chen , Baigeng Wang , Xiaoqun Wang

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
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