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We consider a magnetic s=1/2 impurity in the antiferromagnetic spin chain as a function of two coupling parameters: the symmetric coupling of the impurity to two sites in the chain $J_1$ and the coupling between the two sites $J_2$. By…

Strongly Correlated Electrons · Physics 2009-10-31 Sebastian Eggert , David P. Gustafsson , Stefan Rommer

We give a brief review of the Kondo effect in a one-dimensional interacting electron system, and present exact results for the impurity thermodynamic response based on conformal field theory.

Condensed Matter · Physics 2015-06-25 Per Frojdh , Henrik Johannesson

The Kondo effect is a prototypical quantum phenomenon arising from the interaction between localized electrons in a magnetic impurity and itinerant electrons in a metallic host. Although it has served as the testing ground for quantum…

Strongly Correlated Electrons · Physics 2025-07-21 Tianyu Zhu , Linqing Peng , Huanchen Zhai , Zhi-Hao Cui , Runze Chi , Garnet Kin-Lic Chan

The problem of a spin-1/2 magnetic impurity near an antiferromagnetic transition of the host lattice is solved. The problem is shown to transform to a multichannel problem. A variety of fixed points is discovered asymptotically near the…

Strongly Correlated Electrons · Physics 2007-05-23 H. Maebashi , K. Miyake , C. M. Varma

Using one-dimensional spin-orbital model as a typical example of quantum spin systems with richer symmetries, we study the effect of an isolated impurity on its low energy dynamics in the gapless phase through bosonization and…

Strongly Correlated Electrons · Physics 2009-10-31 Yu-Wen Lee , Yu-Li Lee

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

We study the entanglement of an impurity at one end of a spin chain with a block of spins using negativity as a true measure of entanglement to characterize the unique features of the gapless Kondo regime in the spin chain Kondo model. For…

Strongly Correlated Electrons · Physics 2015-05-13 Abolfazl Bayat , Pasquale Sodano , Sougato Bose

We consider the role of static disorder in the spin sector of the one- and two-channel Kondo models. The distribution functions of the disorder-induced effective energy splitting between the two levels of the Kondo impurity are derived to…

Strongly Correlated Electrons · Physics 2009-10-31 Igor E. Smolyarenko , Ned S. Wingreen

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 show that the spin dynamics of the 4--channel Kondo model is equivalent to the one of a model with a spin 1/2 impurity coupled to spin 1 conduction electrons. By abelian bosonization of the latter model we find a kind of Toulouse limit…

Condensed Matter · Physics 2009-10-22 M. Fabrizio , Alexander O. Gogolin

We study the Kondo resonance in a spin-1/2 single impurity Anderson model with a gapless conduction band using the equation of motion approach in order to obtain the impurity spectral function. We study two different scenarios for gapless…

Strongly Correlated Electrons · Physics 2009-10-20 R. G. Dias , Lidia del Rio , A. V. Goltsev

Magnetic impurities are responsible for many interesting phenomena in condensed matter systems, notably the Kondo effect and quantum phase transitions. Here we present a holographic model of a magnetic impurity that captures the main…

High Energy Physics - Theory · Physics 2016-11-03 J. Erdmenger , M. Flory , C. Hoyos , M-N. Newrzella , A. O'Bannon , J. Wu

The Kondo effect is a hallmark of strongly-correlated systems, where an impurity's local degrees of freedom are screened by conduction electrons, forming a many-body singlet. With increasing degrees of freedom in the impurity, theoretical…

Strongly Correlated Electrons · Physics 2026-05-15 Lidia Stocker , Oded Zilberberg

Nanoscale physics and dynamical mean field theory have both generated increased interest in complex quantum impurity problems and so have focused attention on the need for flexible quantum impurity solvers. Here we demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jaebeom Yoo , Shailesh Chandrasekharan , Ribhu K. Kaul , Denis Ullmo , Harold U. Baranger

We present an analytic universal impurity solver for strongly correlated electrons. We extend the many-body perturbation expansion via suitable two-particle renormalizations from the Fermi-liquid regime to the critical region of the…

Strongly Correlated Electrons · Physics 2008-09-16 V. Janis , P. Augustinsky

We review the non-perturbative theoretical framework set up recently to compute the inelastic scattering cross section from quantum impurities [G. Zar\'and {\it et al.}, Phys. Rev. Lett. {\bf 93}, 107204 (2004)] and show how it can be…

Strongly Correlated Electrons · Physics 2007-11-27 G. Zarand , L. Borda

We use a trial wave function to study the spin-1/2 Kondo effect of a helical metal on the surface of a three-dimensional topological insulator. While the impurity spin is quenched by conduction electrons, the spin-spin correlation of the…

Strongly Correlated Electrons · Physics 2015-05-14 Xiao-Yong Feng , Wei-Qiang Chen , Jin-Hua Gao , Qiang-Hua Wang , Fu-Chun Zhang

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 study the low-temperature properties of a spin-\onehalf\ magnetic impurity coupled to a one-dimensional interacting electron system. Using the newly developed formalism by Affleck and Ludwig, with a scale invariant boundary condition…

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

We study the physics of dilute magnetic impurities in a two-dimensional altermagnetic metal. For the single impurity case, although the spin degeneracy is broken in an altermagnetic metal, we show that the antiferromagnetic Kondo coupling…

Strongly Correlated Electrons · Physics 2025-03-10 Yu-Li Lee
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