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The system of several (N) quantum dots coupled in parallel to the same single-mode conduction channel can be modelled as a single-channel N-impurity Anderson model. Using the generalized Schrieffer-Wolff transformation we show that near the…

Strongly Correlated Electrons · Physics 2007-06-13 R. Zitko , J. Bonca

The Kondo effect is an archetypical phenomenon in the physics of strongly correlated electron systems. Recent attention has focused on the application of Kondo physics to quantum information science by exploiting overscreened Kondo…

Strongly Correlated Electrons · Physics 2022-11-11 Elio J. König , Alexei M. Tsvelik

The single impurity Kondo model is often used to describe metals with dilute concentrations (n_i) of magnetic impurities. Here we examine how dilute the impurities must be for this to be valid by developing a virial expansion in impurity…

Strongly Correlated Electrons · Physics 2009-10-31 Victor Barzykin , Ian Affleck

In this work we study the Kondo impurity problem - at a finite concentration of impurities. We identify two parameter regimes for the Kondo impurity problem. 1) The single impurity limit, where the concentration of Kondo impurities is so…

Strongly Correlated Electrons · Physics 2024-10-29 Garry Goldstein

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

We perform a general group-theoretical study of the Kondo problem in monolayer and bilayer graphene around the charge neutrality point. Utilizing the group representation theory, we derive from symmetry considerations a family of the Kondo…

Strongly Correlated Electrons · Physics 2013-11-11 Maxim Kharitonov , Gabriel Kotliar

Motivated by a recent experimental observation of a nodal liquid on both single crystals and thin films of Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ by Chatterjee \emph{et al.} [Nature Physics \textbf{6}, 99 (2010)], we perform a field-theoretical…

Strongly Correlated Electrons · Physics 2015-06-15 Vanuildo S. de Carvalho , Hermann Freire

In a Kondo lattice, the spin exchange coupling between a local spin and the conduction electrons acquires nonlocal contributions due to conduction electron scattering from surrounding local spins and the subsequent RKKY interaction. It…

Strongly Correlated Electrons · Physics 2017-03-16 Ammar Nejati , Katinka Ballmann , Johann Kroha

The concepts of deconfinement and topological order are of great current interest for quantum information science and for our understanding of quantum materials. Here, we introduce a simple model of three antiferromagnetically coupled Kondo…

Strongly Correlated Electrons · Physics 2021-09-08 Elio J. König , Piers Coleman , Yashar Komijani

We study the non-interacting two-impurity Anderson model on a lattice using the Green function equation-of-motion method. A case of particular interest is the RKKY limit that is characterized by a small hybridization between impurities and…

Strongly Correlated Electrons · Physics 2017-10-11 Zakaria M. M. Mahmoud , Jörg Bünemann , Florian Gebhard

How to make a model of a non-Fermi-liquid metal with efficient current dissipation is a long-standing problem. Results from holographic duality suggest a framework where local critical fermionic degrees of freedom provide both a source of…

Strongly Correlated Electrons · Physics 2018-04-18 Daniel Ben-Zion , John McGreevy

We consider a Kondo impurity coupled to a fermionic host with a power-law density of states near the Fermi level, rho(epsilon) ~ |epsilon|^r, with exponent r<0. Using both perturbative renormalization group (poor man's scaling) and…

Strongly Correlated Electrons · Physics 2015-06-24 Matthias Vojta , Ralf Bulla

Magnetic impurities in three-dimensional Dirac and Weyl systems are shown to exhibit a fascinatingly diverse range of Kondo physics, with distinctive experimental spectroscopic signatures. When the Fermi level is precisely at the Dirac…

Strongly Correlated Electrons · Physics 2015-09-22 Andrew K. Mitchell , Lars Fritz

A quantum spin impurity coupled to a critical free field (the Bose-Kondo model) can be represented as a 0+1D field theory with long-range-in-time interactions that decay as $|t-t'|^{-(2-\delta)}$. This theory is a simpler analogue of…

Strongly Correlated Electrons · Physics 2022-08-31 Adam Nahum

I begin with a review of quantum impurity models in condensed matter physics, in which a localized spin degree of freedom is coupled to an interacting conformal field theory in d = 2 spatial dimensions. Their properties are similar to those…

Strongly Correlated Electrons · Physics 2011-02-01 Subir Sachdev

Two magnetic atoms, one attached to the tip of a Scanning Tunneling Microscope (STM) and one adsorbed on a metal surface, each constituting a Kondo system, have been proposed as one of the simplest conceivable systems potentially exhibiting…

Strongly Correlated Electrons · Physics 2015-03-13 Jakob Bork , Yong-hui Zhang , Lars Diekhöner , László Borda , Pascal Simon , Johann Kroha , Peter Wahl , Klaus Kern

We study a system consisting of a junction of N quantum wires, where the junction is characterized by a scalar S-matrix, and an impurity spin is coupled to the electrons close to the junction. The wires are modeled as weakly interacting…

Strongly Correlated Electrons · Physics 2009-11-11 V. Ravi Chandra , Sumathi Rao , Diptiman Sen

We consider a gas of two species of fermions with population imbalance. Using the renormalization group in $d=1+\epsilon$ dimensions, we show that for spinless fermions and $\epsilon > 0$ a fixed point appears at finite attractive coupling…

Quantum Gases · Physics 2015-03-31 A. J. A. James , A. Lamacraft

In this Letter we investigate the properties of a quantum impurity model in the presence of additional many-body interactions between mobile carriers. The fundamental question which is addressed here is how the interactions in the charge…

Mesoscale and Nanoscale Physics · Physics 2022-03-23 A. V. Parafilo , T. K. T. Nguyen , M. N. Kiselev

In this work, we use the numerical renormalization group (NRG) theory to study the thermodynamics of the two-impurity Anderson model. Two different methods are used to estimate the effect of the Dzyaloshiskii-Moriya (DM) interaction on the…

Strongly Correlated Electrons · Physics 2018-01-17 Liang Chen , Bo Hu , Rong-Sheng Han