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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

Quantum dots exhibit a variety of strongly correlated effects, e.g., when tuned to emulate localized magnetic impurities that form a Kondo singlet with their surrounding environment. Interestingly, in double-dots setups, the magnetic…

Strongly Correlated Electrons · Physics 2024-06-19 Lidia Stocker , Oded Zilberberg

Recent experiments by Potok et al. have demonstrated a remarkable tunability between a single-channel Fermi liquid fixed point and a two-channel non-Fermi liquid fixed point. Motivated by this we study the nonequilibrium dynamics due to a…

Strongly Correlated Electrons · Physics 2013-05-29 Zurab Ratiani , Aditi Mitra

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 address the physics of a regular arrangement of independent magnetic impurities embedded in a band of interacting electrons. We focus on the one-dimensional case that can be studied using bosonization and in which the electron bulk is…

Strongly Correlated Electrons · Physics 2025-12-24 Tomás Bortolin , C. J. Bolech , Nayana Shah , Aníbal Iucci

Recently it was shown that the multipolar Kondo problem, wherein a quantum impurity carrying higher-rank multipolar moments interacts with conduction electrons, leads to novel non-Fermi liquid states. Because of the multipolar character of…

Strongly Correlated Electrons · Physics 2021-05-25 Daniel J. Schultz , Adarsh S. Patri , Yong Baek Kim

Hund metals have attracted attention in recent years due to their unconventional superconductivity, which supposedly originates from non-Fermi-liquid (NFL) properties of the normal state. When studying Hund metals using dynamical mean-field…

Strongly Correlated Electrons · Physics 2020-09-07 E. Walter , K. M. Stadler , S. -S. B. Lee , Y. Wang , G. Kotliar , A. Weichselbaum , J. von Delft

We reformulate the two-channel Kondo model to explicitly remove the unscattered charge degrees of freedom. This procedure permits us to move the non-Fermi liquid fixed point to infinite coupling where we can apply a perturbative…

Condensed Matter · Physics 2010-02-18 P. Coleman , L. Ioffe , A. M. Tsvelik

The cooperative behavior of quantum impurities on 2D materials, such as graphene and bilayer graphene, is characterized by a non-trivial competition between screening (Kondo effect), and Ruderman-Kittel-Kasuya-Yosida (RKKY) magnetism. In…

Strongly Correlated Electrons · Physics 2017-03-08 A. Allerdt , A. E. Feiguin , S. Das Sarma

We present exact results on the non-equilibrium current fluctuations for 2 quantum dots in series throughout a crossover from non-Fermi liquid to Fermi liquid behavior described by the 2 impurity Kondo model. The result corresponds to…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Eran Sela , Ian Affleck

In order to study the interplay between Kondo and Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, we calculate the spin-spin correlation functions between two Kondo impurities coupled to different sites of a half-filled open Hubbard…

Strongly Correlated Electrons · Physics 2013-02-28 A. C. Tiegel , P. E. Dargel , K. A. Hallberg , H. Frahm , T. Pruschke

It has been claimed that an impurity hopping between two sites in a metal can lead to non--Fermi liquid behavior if the bias between the two sites is tuned to zero. Here it is shown that several extra tunnelling processes are allowed; those…

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

We study the Kondo effect of spin-1/2 magnetic impurities in gapped Z2 spin liquids on two-dimensional lattices. We find that if the impurity is placed at a high-symmetry location, a nontrivial spinon fractionalization class of the impurity…

Strongly Correlated Electrons · Physics 2024-09-04 Shuangyuan Lu , Yuan-Ming Lu

Two electronic channels competing to screen a single impurity spin, as in the two-channel Kondo model, are expected to generate a ground state with nontrivial entanglement structure. We exploit a spin-chain representation of the two-channel…

We have studied the quadrupolar Kondo effect for an impurity in cubic environment with taking account of a singlet excited state $\Gamma_1$, which models a $\mathrm{Pr}^{3+}$ ion with a non-Kramers double ground state $\Gamma_3$. We have…

Strongly Correlated Electrons · Physics 2024-03-12 Yuki Kaneko , Hirokazu Tsunetsugu

I consider models with an impurity spin coupled to a fluctuating gaussian field with or without additional Kondo coupling of the conventional sort. In the case of isotropic fluctuations, the renormalisation group flows for these models have…

Strongly Correlated Electrons · Physics 2008-02-03 Anirvan M. Sengupta

Quantum impurity models provide a central framework for correlated electron physics, with quantum dots enabling controlled experimental realizations. While their weak-coupling behavior is well understood through mappings to Kondo…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Nicolas Paris , Nicolas Dupuis , Christophe Mora

Many correlated metallic materials are described by Landau Fermi-liquid theory at low energies, but for Hund metals the Fermi-liquid coherence scale $T_{\text{FL}}$ is found to be surprisingly small. In this Letter, we study the simplest…

Strongly Correlated Electrons · Physics 2020-04-08 Y. Wang , E. Walter , S. -S. B. Lee , K. M. Stadler , J. von Delft , A. Weichselbaum , G. Kotliar

We reobtain the Kondo-Doublet interaction by means of the Brillouin-Wigner Perturbation theory. By applying the same method to the single impurity case we show that the Kondo-Doublet interaction is a direct consequence of the Kondo…

Strongly Correlated Electrons · Physics 2008-06-04 J. Simonin

Magnetic impurities coupled to both fermionic and bosonic baths or to a fermionic bath with pseudogap density of states, described by the Fermi-Bose Kondo and pseudogap Kondo models, display non-trivial intermediate coupling fixed points…

Strongly Correlated Electrons · Physics 2007-05-23 Marijana Kircan , Matthias Vojta