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The Kondo problem, which describes the interaction of a spin $s$ magnetic impurity with a free Fermi gas, is a classic example of strongly coupled physics. Historically, the problem has been solved by Wilson's numerical renormalization…

Strongly Correlated Electrons · Physics 2024-08-26 Abijith Krishnan , Max A. Metlitski

To study the impurity potential effect to the Kondo problem in a Luttinger liquid, we propose an integrable model of two interacting half-chains coupled with a single magnetic impurity ferromagnetically. It is shown that the scalar…

Condensed Matter · Physics 2009-10-31 Yupeng Wang , U. Eckern

A magnetic impurity in the spin-1/2 chain is a simple realization of the two-channel Kondo problem since the field theoretical descriptions in the spin-sector are identical. The correlation functions near the impurity can be calculated.…

Strongly Correlated Electrons · Physics 2009-10-31 Sebastian Eggert , Stefan Rommer

Using the perturbative scaling and the NRG, we study the characteristic energy scales in the Kondo impurity problem as a function of the exchange coupling constant $J$ and the conduction electron density. We discuss the relation between the…

Strongly Correlated Electrons · Physics 2016-09-28 Rok Zitko , Alen Horvat

The Kondo temperature of a magnetic impurity in a weakly disordered metal is distributed due to the randomness in the local exchange coupling, and the local electronic density of states (LDOS). We show that in a closed, phase coherent metal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Kettemann

A system of two exchange-coupled Kondo impurities in a magnetic field gives rise to a rich phase space hosting a multitude of correlated phenomena. Magnetic atoms on surfaces probed through scanning tunnelling microscopy provide an…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 A. Spinelli , M. Gerrits , R. Toskovic , B. Bryant , M. Ternes , A. F. Otte

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

An one dimensional model of a Kondo impurity with arbitrary spin in the presence of electronic correlations is solved exactly. The Bethe ansatz equations are obtained for the case of quadratic dispersion. The ground state is studied in the…

Strongly Correlated Electrons · Physics 2009-10-30 You-Quan Li , Pierre-Antoine Bares

In ordinary metals, antiferromagnetic exchange between conduction electrons and a magnetic impurity leads to screening of the impurity spin below the Kondo temperature, $T_K$. In systems such as semimetals, small-gap semiconductors and…

Condensed Matter · Physics 2008-08-29 L. S. Borkowski

We propose a model of a strongly-interacting two-impurity Kondo system based on the AdS/CFT correspondence, also known as holography. In a Landau Fermi Liquid, the single-impurity Kondo effect is the screening of an impurity spin at low…

High Energy Physics - Theory · Physics 2015-10-29 Andy O'Bannon , Ioannis Papadimitriou , Jonas Probst

We study the Kondo model --a magnetic impurity coupled to a one dimensional wire via exchange coupling-- by using Wilson's numerical renormalization group (NRG) technique. By applying an approach similar to which was used to compute the two…

Strongly Correlated Electrons · Physics 2007-05-23 Laszlo Borda

We study the problem of a boundary magnetic impurity coupled with the solvable $t-J$ chains. Our model provides a good start point to understand the Kondo problem in a Luttinger liquid as well as in a strongly correlated host. The Kondo…

Strongly Correlated Electrons · Physics 2007-05-23 Jianhui Dai , Yupeng Wang

We analyze the two Anderson impurity problem, in the strong Coulomb repulsion limit, by means of variational wave functions whose equations we solve analytically. We found two pairs of Doublet states, one odd and one even with respect to…

Strongly Correlated Electrons · Physics 2007-05-23 J. Simonin

Properties of a nonmagnetic impurity in Kondo insulators are investigated by considering a one-dimensional Kondo lattice model with depletion of a localized spin. The ground-state phase diagram determined by the Lanczos method shows that…

Strongly Correlated Electrons · Physics 2009-11-10 Isao Maruyama , Naokazu Shibata , Kazuo Ueda

The problem of two magnetic impurities in a normal metal exposes the two opposite tendencies in the formation of a singlet ground state, driven respectively by the single-ion Kondo effect with conduction electrons to screen impurity spins…

Strongly Correlated Electrons · Physics 2015-04-24 Rong-Qiang He , Jianhui Dai , Zhong-Yi Lu

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

A Kondo model for three spin-one-half impurities placed at the vertices of an equilateral triangle is studied using the numerical renormalization-group method. The impurity spins can form two frustrated doublets which, because of the…

Condensed Matter · Physics 2007-05-23 Bruce C. Paul , Kevin Ingersent

We study the fate of the Kondo effect with one-dimensional conduction baths at very low densities, such that the system explores the bottom of the conduction band. This can involve either finite low densities, or a small number of fixed…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 Yulia E. Shchadilova , Matthias Vojta , Masudul Haque

It is believed that the successive antiferromagnetic scattering of the conduction electrons on two magnetic impurities in a metal, induces a magnetic interaction between the impurities which sets an energy scale for the system, in addition…

Strongly Correlated Electrons · Physics 2009-10-31 Kurt Fischer

When magnetic moments are immersed into the Fermi sea of itinerant electrons, rich quantum physics emerges. This is relevant for a wide range of materials including heavy Fermion systems, high temperature superconductors like the cuprates,…

Strongly Correlated Electrons · Physics 2024-08-07 Stefan Kettemann