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We investigate quantum impurity problems, where a local magnetic moment is coupled to the spin density of a bosonic environment, leading to bosonic versions of the standard Kondo and Anderson impurity models. In a physical situation, these…

Strongly Correlated Electrons · Physics 2008-11-26 Serge Florens , Lars Fritz , Matthias Vojta

Entanglement in J_1-J_2, S=1/2 quantum spin chains with an impurity is studied using analytic methods as well as large scale numerical density matrix renormalization group methods. The entanglement is investigated in terms of the von…

Strongly Correlated Electrons · Physics 2011-11-09 Erik S. Sørensen , Ming-Shyang Chang , Nicolas Laflorencie , Ian Affleck

We illustrate the emergence of the three-channel Kondo effect in a seven-orbital impurity Anderson model hybridized with $\Gamma_7$ and $\Gamma_8$ conduction electron bands employing a numerical renormalization group method. In particular,…

Strongly Correlated Electrons · Physics 2021-10-01 Takashi Hotta

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 the single channel Kondo problem with the Kondo coupling between a spin $S$ impurity and conduction electrons with spin $j$. These problems arise as multicritical points in the parameter spaces of two- and higher-level tunneling…

Condensed Matter · Physics 2009-10-28 Anirvan M. Sengupta , Yong Baek Kim

A novel large-N limit of the multichannel Kondo model is introduced, for representations of the impurity spin described by Schwinger bosons. Three cases are found, associated with underscreening, overscreening and exact Kondo screening of…

Strongly Correlated Electrons · Physics 2009-10-30 Olivier Parcollet , Antoine Georges

We consider the Kondo effect in Y-junctions of anisotropic XY models in an applied magnetic field along the critical lines characterized by a gapless excitation spectrum. We find that, while the boundary interaction Hamiltonian describing…

Strongly Correlated Electrons · Physics 2016-06-28 Domenico Giuliano , Pasquale Sodano , Arturo Tagliacozzo , Andrea Trombettoni

In this work, a multichannel Kondo lattice model is studied in the thermodynamic limit. The conduction band is described by a constant hopping amplitude between any pair of lattice sites. For this system, we have obtained the exact…

Condensed Matter · Physics 2008-02-03 C. -A. Piguet , D. F. Wang , C. Gruber

Quantum entanglement between an impurity and its environment is expected to be central in quantum impurity problems. We develop a method to compute the entanglement in spin-1/2 impurity problems, based on the entanglement negativity and the…

Strongly Correlated Electrons · Physics 2021-12-06 Donghoon Kim , Jeongmin Shim , H. -S. Sim

We study the influence of a magnetic impurity or ultrasmall quantum dot on the charge persistent current of a mesoscopic ring. The system consists of electrons in a one-dimensional ring threaded by spin-dependent Aharonov-Bohm/Casher…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. -P. Eckle , H. Johannesson , C. A. Stafford

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 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

The Kondo problem of two impurities in 1D strongly correlated electron system within the framework of the open boundary Hubbard chain is solved and the impurities, coupled to the ends of the electron system, are introduced by their…

Strongly Correlated Electrons · Physics 2009-10-31 Zhan-Ning Hu , Fu-Cho Pu

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 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 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

We present studies of a simple Anderson model Hamiltonian for Ce$^{3+}$ ions in cubic symmetry with three configurations ($f^0$,$f^1$,$f^2$). Our Hamiltonian includes: (i) One-channel Anderson model; (ii) Two-channel Anderson model. Using…

Condensed Matter · Physics 2007-05-23 Tae-Suk Kim , D. L. Cox

The Anderson impurity model is studied by means of the self-consistent hybridization expansions in its non-crossing (NCA) and one-crossing (OCA) approximations. We have found that for the one-channel spin-$1/2$ particle-hole symmetric…

Strongly Correlated Electrons · Physics 2016-09-21 C. N. Sposetti , L. O. Manuel , P. Roura-Bas

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

A Coulomb blockaded $M$-Majorana island coupled to normal metal leads realizes a novel type of Kondo effect where the effective impurity "spin" transforms under the orthogonal group $SO(M)$. The impurity spin stems from the non-local…

Strongly Correlated Electrons · Physics 2023-02-15 Guangjie Li , Yuval Oreg , Jukka I. Väyrynen