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The Kondo problem, which describes the interaction of a spin $s$ magnetic impurity with a free Fermi gas, is a classic example of strongly coupled physics. Historically, the problem has been solved by Wilson's numerical renormalization…

Strongly Correlated Electrons · Physics 2024-08-26 Abijith Krishnan , Max A. Metlitski

We investigate the quantum transport through Kondo impurity assuming both a large number of orbital channels $\mathcal K$$\gg $$1$ for the itinerant electrons and a semi-classical spin ${\cal S}$ $\gg $ $1$ for the impurity. The non-Fermi…

Strongly Correlated Electrons · Physics 2021-05-19 D. B. Karki , Mikhail N. Kiselev

The effective spin Hamiltonian of a triple quantum dot with odd electron occupation weakly connected in series with left ($l$) and right ($r$) metal leads is composed of two-channel exchange and co-tunneling terms. Renormalization group…

Strongly Correlated Electrons · Physics 2007-05-23 T. Kuzmenko , K. Kikoin , Y. Avishai

We propose a possible realization of the overscreened Kondo impurity problem by a magnetic s=1/2 impurity embedded in a two-dimensional S=1 U(1) spin liquid with a Fermi surface. This problem contains an interesting interplay between…

Strongly Correlated Electrons · Physics 2013-07-24 Maksym Serbyn , T. Senthil , Patrick A. Lee

A multichannel Kondo model, where two or more equivalent but independent channels of electrons compete to screen a spin-1/2 impurity, shows overcompensation of the impurity spin, leading to the non-Fermi-liquid behavior in various…

Strongly Correlated Electrons · Physics 2022-01-13 Ru Zheng , Rong-Qiang He , Zhong-Yi Lu

Tunnelling impurities in metals have been known for some time to have the potential for exhibiting Kondo-like physics. However previous models based on an impurity hopping between two equivalent positions have run into trouble due to the…

Condensed Matter · Physics 2009-10-28 Aris L. Moustakas , Daniel S. Fisher

The traditional multichannel Kondo effect takes place when several gapless metallic electronic channels interact with a localized spin-$S$ impurity, with the number of channels $n$ exceeding the size of the impurity spin, $n>2S$, leading to…

Strongly Correlated Electrons · Physics 2025-12-16 Pradip Kattel , Abay Zhakenov , Natan Andrei

The multichannel Kondo model with SU(N) spin symmetry and SU(K) channel symmetry is considered. The impurity spin is chosen to transform as an antisymmetric representation of SU(N), corresponding to a fixed number of Abrikosov fermions…

Strongly Correlated Electrons · Physics 2009-10-30 Olivier Parcollet , Antoine Georges , Gabriel Kotliar , Anirvan Sengupta

The Kondo effect may develop in those cases where there are non-commuting operators describing the interaction between the conduction electrons and impurities or defects with internal degrees of freedom. This interaction may involve spin or…

Strongly Correlated Electrons · Physics 2015-06-24 O. Újsághy , G. Zaránd , A. Zawadowski

We present the exact Bethe Ansatz solution of a multichannel model of one- dimensional correlated electrons coupled antiferromagnetically to a magnetic impurity of arbitrary spin S. The solution reveals that interactions in the bulk make…

Strongly Correlated Electrons · Physics 2009-10-30 A. A. Zvyagin , H. Johannesson , M. Granath

We consider magnetic impurities coupled to a conduction sea via a fully isotropic ferromagnetic spin-exchange term, the strength of which depends on the conduction-electron modes involved in the scattering. In the single-impurity case we…

Strongly Correlated Electrons · Physics 2026-05-25 Ewan Scott , Yaqi Chen , Michael Turaev , Tarkan Yzeiri , Chris Hooley , Krzysztof P. Wójcik , Michał P. Kwasigroch

We consider a magnetic s=1/2 impurity in the antiferromagnetic spin chain as a function of two coupling parameters: the symmetric coupling of the impurity to two sites in the chain $J_1$ and the coupling between the two sites $J_2$. By…

Strongly Correlated Electrons · Physics 2009-10-31 Sebastian Eggert , David P. Gustafsson , Stefan Rommer

We study the low-temperature properties of the generalized Anderson impurity model in which two localized configurations, one with two doublets and the other with a triplet, are mixed by two degenerate conduction channels. By using the…

Strongly Correlated Electrons · Physics 2019-09-04 G. G. Blesio , L. O. Manuel , A. A. Aligia , P. Roura-Bas

We show that the Ruderman-Kittel-Kasua-Yoisida interaction between overscreened spins in two channel Kondo impurity systems is a relevant perturbation when the number of impurities N is greater than 3 driving the system to a new quantum…

Strongly Correlated Electrons · Physics 2025-08-29 A. M. Tsvelik , G. Kotliar

We study how the non-Fermi-liquid nature of the overscreened multi-channel Kondo impurity model affects the response to a BCS pairing term that, in the absence of the impurity, opens a gap $\Delta$. We find that non-Fermi liquid features do…

Strongly Correlated Electrons · Physics 2017-10-02 Rok Žitko , Michele Fabrizio

We study odd-membered chains of spin-(1/2) impurities, with each end connected to its own metallic lead. For antiferromagnetic exchange coupling, universal two-channel Kondo (2CK) physics is shown to arise at low energies. Two overscreening…

Strongly Correlated Electrons · Physics 2011-09-21 Andrew K. Mitchell , David E. Logan , H. R. Krishnamurthy

A multi--channel generalization of Doniach's Kondo necklace model is formulated, and its phase diagram studied in the mean--field approximation. Our intention is to introduce the possible simplest model which displays some of the features…

Condensed Matter · Physics 2013-07-22 P. Fazekas , Hae-Young Kee

For a mobile spin-1/2 impurity, coupled antiferromagnetically to a one-dimensional gas of fermions, perturbative ideas have been used to argue in favor of two-channel Kondo behavior of the impurity spin. Here we combine general…

Strongly Correlated Electrons · Physics 2013-11-14 Julian Rincon , Daniel J. Garcia , K. Hallberg , Matthias Vojta

We consider the non-Fermi liquid quantum critical state of the spin-S two-impurity Kondo model, and its potential realization in a quantum dot device. Using conformal field theory (CFT) and the numerical renormalization group (NRG), we show…

Strongly Correlated Electrons · Physics 2012-02-28 Andrew K. Mitchell , Eran Sela , David E. Logan

We study the low-temperature thermodynamics of a spin-S magnetic impurity coupled to m degenerate bands of interacting electrons in one dimension. By exploiting boundary conformal field theory techniques, we derive exact results for the…

Strongly Correlated Electrons · Physics 2009-10-30 M. Granath , H. Johannesson
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