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We discuss the possibility of a co-operative Kondo effect driven by channel interference in a Kondo lattice where local moments are coupled to a single Fermi sea via two orthogonal scattering channels. In this situation, the channel quantum…

Strongly Correlated Electrons · Physics 2009-10-31 P. Coleman , A. M. Tsvelik , N. Andrei , H. Y. Kee

The Kondo effect, an eminent manifestation of many-body physics in condensed matter, is traditionally explained as exchange scattering of conduction electrons on a spinful impurity in a metal. The resulting screening of the impurity's local…

Strongly Correlated Electrons · Physics 2019-05-28 M. Gomilšek , R. Žitko , M. Klanjšek , M. Pregelj , C. Baines , Y. Li , Q. M. Zhang , A. Zorko

These lecture notes give a brief introduction to heavy fermion physics, emphasizing aspects of particular modern interest. Following an introduction to the Kondo effect and the phenomenology of heavy fermions, the article introduces Kondo…

Strongly Correlated Electrons · Physics 2017-04-17 Piers Coleman

We propose a new approach to the Kondo lattice in order to describe simultaneously the Kondo effect and the local magnetism. This approach relies on an original representation of the $S=1/2$ impurity spin in which the different degrees of…

Strongly Correlated Electrons · Physics 2008-02-03 C. Pépin , M. Lavagna

The Kondo effect arises from many-body interactions between localized magnetic impurities and conduction electrons, affecting electronic properties at low temperatures. In this study, we investigate the Kondo effect within a two-dimensional…

Strongly Correlated Electrons · Physics 2025-09-30 T. O. Puel , M. A. Manya , G. S. Diniz , E. Vernek , G. B. Martins

The interaction between a magnetic impurity, such as cerium (Ce) atom, and surrounding electrons has been one of the core problems in understanding many-body interaction in solid and its relation to magnetism. Kondo effect, the formation of…

The quantum chromodynamics (QCD) Kondo effect is a quantum phenomenon in which heavy quarks ($c$, $b$) exist as impurity particles in quark matter composed of light quarks ($u$, $d$, $s$) at extremely high density. This is analogous to the…

Nuclear Theory · Physics 2020-04-29 Daiki Suenaga , Kei Suzuki , Shigehiro Yasui

The Kondo effect is one of the most studied examples of strongly correlated quantum many-body physics. Another type of strongly correlated physics that has only recently been explored in detail (and become experimentally accessible) is that…

Quantum Physics · Physics 2023-11-29 Po-Chen Kuo , Neill Lambert , Mauro Cirio , Yi-Te Huang , Franco Nori , Yueh-Nan Chen

We report on exact results for the low-temperature thermodynamics of a spin-$\frac{1}{2}$ magnetic impurity coupled to a one-dimensional interacting electron system. By using boundary conformal field theory, we show that there are only two…

Condensed Matter · Physics 2009-10-28 Per Frojdh , Henrik Johannesson

We investigate the boundary phenomena that arise in a finite-size $XX$ spin chain interacting through an $XX$ interaction with a spin$-\frac{1}{2}$ impurity located at its edge. Upon Jordan-Wigner transformation, the model is described by a…

Strongly Correlated Electrons · Physics 2025-07-17 Pradip Kattel , Yicheng Tang , J. H. Pixley , Natan Andrei

Quantum criticality in systems of local moments interacting with itinerant electrons has become an important and diverse field of research. Here we review recent results which concern (a) quantum phase transitions in single-impurity Kondo…

Strongly Correlated Electrons · Physics 2015-07-19 Matthias Vojta , Ralf Bulla , Peter Wölfle

We investigate the Kondo effect in two-dimensional disordered electron systems using a finite-temperature quantum Monte Carlo method. Depending on the position of a magnetic impurity, the local moment is screened or unscreened by the spin…

Strongly Correlated Electrons · Physics 2009-11-07 Takuma Ohashi , Sei-ichiro Suga

While standard heavy fermion metals feature a single spin-1/2 local moment per unit cell, more complicated systems with multiple distinct local moments have been synthesized as well, with Ce_3Pd_20(Si,Ge)_6 being one example. Here, we…

Strongly Correlated Electrons · Physics 2011-08-10 Adel Benlagra , Lars Fritz , Matthias Vojta

We revisit the physics of a Kondo impurity coupled to a fermionic host with a diverging power-law density of states near the Fermi level, $\rho(\omega) \sim |\omega|^r$, with exponent $-1<r<0$. Using the analytical understanding of several…

Strongly Correlated Electrons · Physics 2013-11-13 Andrew K. Mitchell , Matthias Vojta , Ralf Bulla , Lars Fritz

This article briefly reviews three topics related to the quantum critical behavior of certain heavy-fermion systems. First, we summarize an extended dynamical mean-field theory for the Kondo lattice, which treats on an equal footing the…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , J. Lleweilun Smith , Kevin Ingersent

We study the zero-temperature properties of the Kondo lattice model within the dynamical mean-field theory. As impurity solver we use the numerical renormalization group. We present results for the paramagnetic case showing the anticipated…

Strongly Correlated Electrons · Physics 2011-02-21 O. Bodensiek , R. Zitko , R. Peters , T. Pruschke

We study the density of states and the optical conductivity of a Kondo lattice which is immersed in a massless Dirac Fermi sea, as characterized by a linear dispersion relation. As a result of the hybridization $V$ with the $f$-electron…

Strongly Correlated Electrons · Physics 2015-07-16 Hyunyong Lee , Stefan Kettemann

We investigate theoretically the linear conductance of a two-level quantum dot as a function of the gate voltage and different strength of coupling to the external electronic system (the reservoir). Apart from the weak coupling regime,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. L. Chudnovskiy , S. E. Ulloa

We study the Kondo effect in three-dimensional (3D) Dirac materials and Weyl semimetals. We find the scaling of the Kondo temperature with respect to the doping $n$ and the coupling $J$ between the moment of the magnetic impurity and the…

Mesoscale and Nanoscale Physics · Physics 2015-07-13 Alessandro Principi , Giovanni Vignale , Enrico Rossi

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