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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 study the low-energy properties of a triangular triple quantum dot connected to two non-interacting leads in a wide parameter range, using the numerical renormalization group (NRG). Various kinds of Kondo effects take place in this…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Takahide Numata , Yunori Nisikawa , Akira Oguri , Alex C. Hewson

We investigate Kondo correlations in a quantum dot with normal and superconducting electrodes, where a spin bias voltage is applied across the device and the local interaction $U$ is either attractive or repulsive. When the spin current is…

Strongly Correlated Electrons · Physics 2018-06-13 Tie-Feng Fang , Ai-Min Guo , Qing-Feng Sun

We consider the non-Fermi liquid quantum critical state of the spin-S two-impurity Kondo model, and its potential realization in a quantum dot device. Using conformal field theory (CFT) and the numerical renormalization group (NRG), we show…

Strongly Correlated Electrons · Physics 2012-02-28 Andrew K. Mitchell , Eran Sela , David E. Logan

We study finite-frequency transport properties of the double-dot system recently constructed to observe the two-channel Kondo effect [R. M. Potok et al., Nature 446, 167 (2007)]. We derive an analytical expression for the…

Mesoscale and Nanoscale Physics · Physics 2007-11-27 A. I. Toth , L. Borda , J. von Delft , G. Zarand

We use holography to study a $(1+1)$-dimensional Conformal Field Theory (CFT) coupled to an impurity. The CFT is an $SU(N)$ gauge theory at large $N$, with strong gauge interactions. The impurity is an $SU(N)$ spin. We trigger an impurity…

High Energy Physics - Theory · Physics 2017-07-19 Johanna Erdmenger , Carlos Hoyos , Andy O'Bannon , Ioannis Papadimitriou , Jonas Probst , Jackson M. S. Wu

We study the conductance of a time-reversal symmetric helical electronic edge coupled antiferromagnetically to a magnetic impurity, employing analytical and numerical approaches. The impurity can reduce the perfect conductance $G_0$ of a…

Strongly Correlated Electrons · Physics 2020-04-15 Yuval Vinkler-Aviv , Daniel May , Frithjof B. Anders

The Fermi liquid paradigm for metals has contributed enormously to our understanding of condensed matter systems. However a growing number of quantum critical systems have been shown to exhibit non Fermi liquid behavior. A full…

Strongly Correlated Electrons · Physics 2020-09-02 C. -Y. Lin , Y. -Y. Chang , C. Rylands , N. Andrei , C. -H. Chung

We study the influence of a magnetic impurity or ultrasmall quantum dot on the charge persistent current of a mesoscopic ring. The system consists of electrons in a one-dimensional ring threaded by spin-dependent Aharonov-Bohm/Casher…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. -P. Eckle , H. Johannesson , C. A. Stafford

We analyze the nonequilibrium Kondo model at finite voltage and temperature by using a new formulation of the real-time renormalization group method with the Laplace variable as the flow parameter. We evaluate the energy-dependent spin…

Mesoscale and Nanoscale Physics · Physics 2012-07-11 Mikhail Pletyukhov , Herbert Schoeller

Zero temperature phase transitions not only occur in the bulk of quantum systems, but also at boundaries or impurities. We review recent work on quantum phase transitions in impurity models that are generalizations of the standard Kondo…

Strongly Correlated Electrons · Physics 2007-05-23 R. Bulla , M. Vojta

A detailed and comprehensive study of the one-impurity multichannel Kondo model is presented. In the limit of a large number of conduction electron channels $k \gg 1$, the low energy fixed point is accessible to a renormalization group…

Condensed Matter · Physics 2009-10-22 Junwu Gan

Generalized quantum impurity models -- which feature a few localized and strongly-correlated degrees of freedom coupled to itinerant conduction electrons -- describe diverse physical systems, from magnetic moments in metals to…

Strongly Correlated Electrons · Physics 2024-10-23 Jonas B. Rigo , Andrew K. Mitchell

We revisit the problem of a single quantum impurity on the edge of a two-dimensional time-reversal invariant topological insulator and show that the zero temperature phase diagram contains a large local moment region for antiferromagnetic…

Strongly Correlated Electrons · Physics 2012-06-14 Joseph Maciejko

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 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 consider a magnetic impurity in the antiferromagnetic spin-1/2 chain which is equivalent to the two-channel Kondo problem in terms of the field theoretical description. Using a modification of the transfer-matrix density matrix…

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

We investigate the entanglement properties of a Kondo system undergoing a transition to a state with a quenched magnetic impurity, using the density matrix renormalization group (DMRG) method. We focus on a two-channel spin-1 Kondo impurity…

Strongly Correlated Electrons · Physics 2025-04-24 Adelina A. Orlandini , Germán G. Blesio , Claudio J. Gazza , Luis O. Manuel

We develop a conformal-field theory approach for investigation of the quantum charge-, heat- and thermoelectric- transport through a quantum impurity fine tuned to a non-Fermi liquid regime. The non-Fermi-liquid operational mode is…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 D. B. Karki , Mikhail N. Kiselev

Quantum impurity models describe interactions between some local degrees of freedom and a continuum of non-interacting fermionic or bosonic states. The investigation of quantum impurity models is a starting point towards the understanding…

Strongly Correlated Electrons · Physics 2008-09-19 O. Legeza , C. P. Moca , A. I. Toth , I. Weymann , G. Zarand