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The Kondo effect is a key many-body phenomenon in condensed matter physics. It concerns the interaction between a localised spin and free electrons. Discovered in metals containing small amounts of magnetic impurities, it is now a…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 S. Sasaki , S. De Franceschi , J. M. Elzerman , W. G. van der Wiel , M. Eto , S. Tarucha , L. P. Kouwenhoven

The Kondo effect in a Luttinger liquid is studied using the renormalization group method. By renormalizing the boson fields, scaling equations to the second order for an arbitrary Luttinger interaction are obtained. For the ferromagnetic…

Strongly Correlated Electrons · Physics 2009-11-07 Mun Dae Kim , Chul Koo Kim , Kyun Nahm , Chang-Mo Ryu

It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is…

Condensed Matter · Physics 2009-10-28 Hiroaki Kusunose , Kazumasa Miyake

We consider an open quantum system in contact with fermionic metallic reservoirs in a nonequilibrium setup. For the case of spin, orbital or potential fluctuations, we present a systematic formulation of real-time renormalization group at…

Mesoscale and Nanoscale Physics · Physics 2014-09-19 Frank Reininghaus , Mikhail Pletyukhov , Herbert Schoeller

We investigate the influence of spin-orbit coupling on the Kondo effects in carbon nanotube quantum dots, using the numerical renormalization group technique. A sufficiently large spin-orbit coupling is shown to destroy the SU(4) Kondo…

Strongly Correlated Electrons · Physics 2010-03-11 Martin R. Galpin , Frederic W. Jayatilaka , David E. Logan , Frithjof B. Anders

Orbital Kondo effect in a system of two single-level quantum dots attached to external electron reservoirs is considered theoretically. The dots are coupled via direct hoping term and Coulomb interaction. The Kondo temperature is evaluated…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 Piotr Trocha

In the multichannel Kondo effect, overscreening of a magnetic impurity by conduction electrons leads to a frustrated exotic ground state. It has been proposed that multichannel topological Kondo (MCTK) model involving topological Cooper…

Strongly Correlated Electrons · Physics 2025-07-17 Guangjie Li , Elio J. König , Jukka I. Väyrynen

In order to promote our basic understanding on the Kondo behavior recently observed in europium compounds, we analyze an impurity Anderson model with seven $f$ electrons at an impurity site by employing a numerical renormalization group…

Strongly Correlated Electrons · Physics 2018-09-14 Takashi Hotta

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

Whereas in the familiar Kondo effect the exchange interaction is dipolar, it can also be multipolar, as has been realized in a recent experiment. Here we study multipolar Kondo effect in a Fermi gas of cold $^{173}$Yb atoms. Making use of…

Quantum Gases · Physics 2018-02-21 Igor Kuzmenko , Tetyana Kuzmenko , Yshai Avishai , Gyu Boong Jo

We investigate a Kondo lattice model with correlated conduction electrons. Within dynamical mean-field theory the model maps onto an impurity model where the host has to be determined self-consistently. This impurity model can be derived…

Strongly Correlated Electrons · Physics 2009-10-31 Tom Schork , Stefan Blawid , Jun-ichi Igarashi

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

This review article provides an overview of the physics of the two-channel Kondo impurity model as manifested in two-level systems in metals and certain actinide/lanthanide ions in metals. Basic models are presented, followed by a…

Strongly Correlated Electrons · Physics 2009-09-25 D. L. Cox , A. Zawadowski

We investigate the Josephson effect through a two-level quantum dot with an exchange coupling between two dot electrons. We compute the superconducting phase relationship and construct the phase diagram in the superconducting gap--exchange…

Mesoscale and Nanoscale Physics · Physics 2011-08-25 Minchul Lee , Thibaut Jonckheere , Thierry Martin

We report a strong Kondo effect (Kondo temperature ~ 4K) at high magnetic field in a selective area growth semiconductor quantum dot. The Kondo effect is ascribed to a singlet-triplet transition in the ground state of the dot. At the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 W. G. van der Wiel , S. De Franceschi , J. M. Elzerman , S. Tarucha , L. P. Kouwenhoven , J. Motohisa , F. Nakajima , T. Fukui

By applying methods of integrable quantum field theory to the Kondo problem, we develop a systematic perturbation expansion near the IR (strong coupling) fixed point. This requires the knowledge of an infinity of irrelevant operators and…

Condensed Matter · Physics 2009-10-31 F. Lesage , H. Saleur

Many-body correlations and macroscopic quantum behaviors are fascinating condensed matter problems. A powerful test-bed for the many-body concepts and methods is the Kondo model which entails the coupling of a quantum impurity to a…

Mesoscale and Nanoscale Physics · Physics 2016-02-08 Z. Iftikhar , S. Jezouin , A. Anthore , U. Gennser , F. D. Parmentier , A. Cavanna , F. Pierre

We theoretically investigate the Kondo effect of a T-shaped triple-quantum-dot structure, by means of the numerical renormalization group method. It is found that at the point of electron-hole symmetry, the system's entropy has…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Guang-Yu Yi , Cui Jiang , Lian-Lian Zhang , Su-Rui Zhong , Hao Chu , Wei-Jiang Gong

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

The underscreened Kondo effect is studied within a model of two impurities S=1 interacting with the conduction band and via an interimpurity coupling $K\vec{S_1}.\vec{S_2}$. Using a mean-field treatment of the bosonized Hamiltonian, we show…

Strongly Correlated Electrons · Physics 2009-10-30 Karyn Le Hur , B. Coqblin