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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

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

Using Hubbard-Stratonovich transformation and drone-fermion representations for spin-1/2 and for spin-3/2, which is presented for the first time, we make a path-integral formulation of the Kondo lattice model. In the case of weak coupling…

Strongly Correlated Electrons · Physics 2016-08-31 Sze-Shiang Feng , Mogus Mochena

A Coulomb blockaded $M$-Majorana island coupled to normal metal leads realizes a novel type of Kondo effect where the effective impurity "spin" transforms under the orthogonal group $SO(M)$. The impurity spin stems from the non-local…

Strongly Correlated Electrons · Physics 2023-02-15 Guangjie Li , Yuval Oreg , Jukka I. Väyrynen

Motivated by experiments in nanoscopic systems, we study a generalized Anderson, which consists of two spin degenerate doublets hybridized to a singlet by promotion of an electron to two conduction bands, as a function of the energy…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Leandro Tosi , Pablo Roura-Bas , Armando A. Aligia

We consider a magnetic impurity which interacts by hybridization with a system of weakly correlated electrons and determine the energy of the ground state by means of an 1/N_f expansion. The correlations among the conduction electrons are…

Condensed Matter · Physics 2009-10-28 Tom Schork

Recently there has been a resurgence of intense experimental and theoretical interest on the Kondo physics of nanoscopic and mesoscopic systems due to the possibility of making experiments in extremely small samples. We have carried out…

Strongly Correlated Electrons · Physics 2009-11-10 Y. Luo , C. Verdozzi , N. Kioussis

We investigate theoretically the quantum phase transition (QPT) between the one-channel Kondo (1CK) and two-channel Kondo (2CK) fixed points in a quantum dot coupled to helical edge states of interacting 2D topological insulators (2DTI)…

Strongly Correlated Electrons · Physics 2015-06-03 Chung-Hou Chung , Salman Silotri

The quantum phase diagram of disordered electron systems as function of the concentration of magnetic impurities nm and the local exchange coupling J is studied in the dilute limit. We take into account the Anderson localisation of the…

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

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

It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is…

Condensed Matter · Physics 2009-10-28 Hiroaki Kusunose , Kazumasa Miyake

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

We investigate thermoelectric properties of correlated quantum dots and molecules, described by a single level Anderson model coupled to conduction electron leads, by using Wilson's numerical renormalization group method. In the Kondo…

Mesoscale and Nanoscale Physics · Physics 2011-03-10 V. Schoeps , V. Zlatic , T. A. Costi

A magnetic moment in a metal or in a quantum dot is, at low temperatures, screened by the conduction electrons through the mechanism of the Kondo effect. This gives rise to spin-spin correlations between the magnetic moment and the…

Strongly Correlated Electrons · Physics 2009-11-24 Andreas Holzner , Ian P. McCulloch , Ulrich Schollwöck , Jan von Delft , Fabian Heidrich-Meisner

Double quantum dots offer unique possibilities for the study of many-body correlations. A system containing one Kondo dot and one effectively noninteracting dot maps onto a single-impurity Anderson model with a structured (nonconstant)…

Mesoscale and Nanoscale Physics · Physics 2009-01-23 Luis Dias da Silva , Nancy Sandler , Kevin Ingersent , Sergio Ulloa

We investigate the properties of the molecular quantum dot (Holstein-Anderson) model using numerical and analytical techniques. Path integral Monte Carlo simulations for the cumulants of the distribution function of the phonon coordinate…

Strongly Correlated Electrons · Physics 2015-04-23 Juliane Klatt , Lothar Mühlbacher , Andreas Komnik

Double quantum dots can provide an experimental realization of the 2 impurity Kondo model which exhibits a non-Fermi liquid quantum critical point (QCP) at a special value of its parameters. We generalize our recent study of double quantum…

Mesoscale and Nanoscale Physics · Physics 2010-01-25 Eran Sela , Ian Affleck

Magnetic superconductors manifest a fascinating interplay between their magnetic and superconducting properties. This becomes evident, for example, in the significant enhancement of the upper critical field observed in uranium-based…

Superconductivity · Physics 2025-01-13 Shangjian Jin , Darryl C. W. Foo , Tingyu Qu , Barbaros Özyilmaz , Shaffique Adam

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

We study the transmission through a double quantum-dot system in the Kondo regime. An exact expression for the transmission coefficient in terms of fully interacting many-body Green's functions is obtained. By mapping the system into an…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Luis G. Dias da Silva , Nancy Sandler , Kevin Ingersent , Sergio E. Ulloa