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The diagrammatic theory is proposed for the strongly correlated impurity Anderson model. The strongly correlated impurity electrons are hybridized with free conduction electrons. For this system the new diagrammatic approach is formulated.…

Strongly Correlated Electrons · Physics 2007-05-23 V. A. Moskalenko , P. Entel , D. F. Digor , L. A. Dohotaru , R. Citro

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

We study the intersite correlation effects on the Kondo dynamics of two Anderson impurities. Two characteristic energy scales are present associated with the splitting of the uniform and staggered spin susceptibilities. The high energy…

Strongly Correlated Electrons · Physics 2010-12-16 Lijun Zhu , Jian-Xin Zhu

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

A diagrammatic theory around the atomic limit is proposed for the single-impurity Anderson model in which the strongly correlated impurity electrons hybridize with free (uncorrelated) conduction electrons. Using this diagrammatic approach,…

Strongly Correlated Electrons · Physics 2007-05-23 V. A. Moskalenko , P. Entel , D. F. Digor , L. A. Dohotaru , R. Citro

We discuss models of interacting magnetic impurities coupled to a metallic host. If twice the sum of the impurity spins is larger than the total number of host screening channels, the system shows one or more quantum phase transitions where…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Matthias Vojta , Ralf Bulla , Walter Hofstetter

Interacting single-level quantum dot connected to BCS superconducting leads represents a well-controllable system to study the interplay between the correlation effects and the electron pairing that can result in a $0-\pi$ (singlet-doublet)…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Vladislav Pokorný , Tomáš Novotný

We analyze the consequences of a first-order (in the effective Kondo coupling) inter-impurity correlation present in the Two-Impurity Anderson Hamiltonian. This correlation generates a pair of Kondo Doublet states which are responsible for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Simonin

We propose a versatile strategy for numerical renormalization group solution of general channel-mixing Kondo and Anderson models beyond previous reach, opening the door toward broad applications in protocol non-perturbative machineries,…

Strongly Correlated Electrons · Physics 2016-01-13 J. G. Liu , D. Wang , Q. H. Wang

We study theoretically a triangular cluster of three magnetic impurities, hybridizing locally with conduction electrons of a metallic host. Such a cluster is the simplest to exhibit frustration - an important generic feature of many complex…

Strongly Correlated Electrons · Physics 2014-03-18 Andrew K. Mitchell , Thomas F. Jarrold , Martin R. Galpin , David E. Logan

A single Anderson impurity model recently predicted, through its unstable fixed point, the phase diagram of a two band model correlated conductor, well confirmed by Dynamical Mean Field Theory in infinite dimensions. We study here the one…

Strongly Correlated Electrons · Physics 2009-11-10 Michele Fabrizio , Erio Tosatti

We investigate a model of two Kondo impurities coupled via an Ising interaction. Exploiting the mapping to a generalized single-impurity Anderson model, we establish that the model has a singlet and a (pseudospin) doublet phase separated by…

Strongly Correlated Electrons · Physics 2007-05-23 Markus Garst , Stefan Kehrein , Thomas Pruschke , Achim Rosch , Matthias Vojta

We analyze the phase diagram associated with a pair of magnetic impurities trapped in a superconducting host. The natural interplay between Kondo screening, superconductivity and exchange interactions leads to a rich array of competing…

Superconductivity · Physics 2014-12-15 N. Y. Yao , C. P. Moca , I. Weymann , J. D. Sau , M. D. Lukin , E. A. Demler , G. Zaránd

We develop a cluster dynamical mean field theory of the periodic Anderson model in three dimensions, taking a cluster of two sites as a basic reference frame. The mean field theory displays the basic features of the Doniach phase diagram: a…

Strongly Correlated Electrons · Physics 2009-11-13 Lorenzo De Leo , Marcello Civelli , Gabriel Kotliar

We present a model of two Anderson impurities coupled to and through a superconducting island. The model parametrizes the strength of the coupling between impurity sites, allowing it to represent a variable distance between the impurities.…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Filip K. Malinowski

The rigidity transition occurs when, as the density of microscopic components is increased, a disordered medium becomes able to transmit and ensure macroscopic mechanical stability, owing to the appearance of a space-spanning rigid…

Statistical Mechanics · Physics 2023-07-12 Nina Javerzat , Mehdi Bouzid

We comprehend the role of imperfections in materials consisting of interacting particles, arising from different origins on their universal features. Specifically, we report the static and dynamic responses in a cluster of Coulomb…

Disordered Systems and Neural Networks · Physics 2023-04-26 Prashanti Jami , Biswarup Ash , Amit Ghosal

In the two-impurity Anderson model, the inter-impurity spin exchange interaction favors a spin singlet state between two impurities leading to the breakdown of the Kondo effect. We show that a local uniform magnetic field can delocalize the…

Strongly Correlated Electrons · Physics 2012-08-30 Lijun Zhu , Jian-Xin Zhu

In cluster tomography, we propose measuring the number of clusters $N$ intersected by a line segment of length $\ell$ across a finite sample. As expected, the leading order of $N(\ell)$ scales as $a\ell$, where $a$ depends on microscopic…

Disordered Systems and Neural Networks · Physics 2024-02-13 Helen S. Ansell , Samuel J. Frank , István A. Kovács

We generalized the recently introduced new impurity solver based on the diagrammatic expansion around the atomic limit and Quantum Monte Carlo summation of the diagrams. We present generalization to the cluster of impurities, which is at…

Strongly Correlated Electrons · Physics 2009-11-11 Kristjan Haule
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