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The question of how localized electrons interact with delocalized electrons is central to many problems at the forefront of solid state physics. The simplest example is the Kondo phenomenon, which occurs when an impurity atom with an…

Strongly Correlated Electrons · Physics 2009-10-30 D. Goldhaber-Gordon , Hadas Shtrikman , D. Mahalu , David Abusch-Magder , U. Meirav , M. A. Kastner

The existence of a length-scale $\xi_K\sim 1/T_K$ (with $T_K$ the Kondo temperature) has long been predicted in quantum impurity systems. At low temperatures $T\ll T_K$, the standard interpretation is that a spin-$\tfrac{1}{2}$ impurity is…

Strongly Correlated Electrons · Physics 2011-09-21 Andrew K. Mitchell , Michael Becker , Ralf Bulla

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

We investigate a system of three tunnel-coupled semiconductor quantum dots in a triangular geometry, one of which is connected to a metallic lead, in the regime where each dot is essentially singly occupied. Both ferro- and…

Strongly Correlated Electrons · Physics 2015-12-22 Andrew K. Mitchell , Thomas F. Jarrold , David E. Logan

We generalize the iterative diagonalization procedure adopted in method of numerical renormalization group to analyze the Kondo effect in strong magnetic fields, where the density of states for itinerary electrons at the chemical potential…

Strongly Correlated Electrons · Physics 2022-11-23 Po-Hao Chou , Chung-Hou Chung , Chung-Yu Mou

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

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

We analyze the ground state properties of the two-dimensional quantum antiferromagnet with a S=1/2 Kondo impurity. Perturbation theory around the strong Kondo coupling limit is developed and the results compared with studies, based on exact…

Strongly Correlated Electrons · Physics 2009-10-31 V. N. Kotov , J. Oitmaa , O. Sushkov

The Kondo effect may develop in those cases where there are non-commuting operators describing the interaction between the conduction electrons and impurities or defects with internal degrees of freedom. This interaction may involve spin or…

Strongly Correlated Electrons · Physics 2015-06-24 O. Újsághy , G. Zaránd , A. Zawadowski

Quantum impurity problems in Tomonaga-Luttinger liquids (TLLs) are reviewed with emphasis on their analogy to the Kondo problem in Fermi liquids. First, the problem of a static impurity in a spinless TLL is considered, which is related to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Akira Furusaki

Thermodynamic properties are presented for four magnetic impurity models describing delocalized fermions scattering from a localized orbital at an energy-dependent rate $\Gamma(\epsilon)$ which vanishes precisely at the Fermi level,…

Strongly Correlated Electrons · Physics 2009-10-31 Carlos Gonzalez-Buxton , Kevin Ingersent

We present a mapping of correlated multi-impurity Anderson models to a cluster model coupled to a number of effective conduction bands capturing its essential low-energy physics. The major ingredient is the complex single-particle self…

Strongly Correlated Electrons · Physics 2020-12-09 Fabian Eickhoff , Frithjof B. Anders

We develop a microscopic theory of the single impurity Kondo effect on a metallic surface. We calculate the hybridization energies for the Anderson Hamiltonian of a magnetic impurity interacting with surface and bulk states and show that,…

Materials Science · Physics 2009-11-10 Chiung-Yuan Lin , A. H. Castro Neto , B. A. Jones

We study triangular clusters of three spin-1/2 Kondo or Anderson impurities that are coupled to two conduction leads. In the case of Kondo impurities, the model takes the form of an antiferromagnetic Heisenberg ring with Kondo-like exchange…

Mesoscale and Nanoscale Physics · Physics 2009-03-06 Rok Zitko Janez Bonca

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 consider a two dimensional Kondo lattice model with exchange J and hopping t in which three out of four impurity spins are removed in a regular way. At the particle-hole symmetric point the model may be studied with auxiliary field…

Strongly Correlated Electrons · Physics 2013-05-29 F. F. Assaad

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

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 investigate the boundary effects that arise when spin-$\frac{1}{2}$ impurities interact with the edges of the antiferromagnetic spin-$\frac{1}{2}$ Heisenberg chain through spin exchange interactions. We consider both cases when the…

Strongly Correlated Electrons · Physics 2025-07-17 Pradip Kattel , Parameshwar R. Pasnoori , J. H. Pixley , Patrick Azaria , Natan Andrei

A theoretical concept is presented for the screening of several magnetic moments locally exchange coupled to conduction electrons in a metallic nanostructure. We consider a quantum confined multi-impurity Kondo model which exhibits the…

Mesoscale and Nanoscale Physics · Physics 2015-10-06 Andrej Schwabe , Mirek Hänsel , Michael Potthoff , Andrew K. Mitchell