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We study equilibrium and nonequilibrium properties of the single-impurity Anderson model with a power-law pseudogap in the density of states. In equilibrium, the model is known to display a quantum phase transition from a generalized Kondo…

Strongly Correlated Electrons · Physics 2020-04-29 Delia M. Fugger , Daniel Bauernfeind , Max E. Sorantin , Enrico Arrigoni

We investigate the supercurrent through a quantum dot for the whole range of couplings using the numerical renormalization group method. We find that the Josephson current switches abruptly from a $\pi$- to a 0-phase as the coupling…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Mahn-Soo Choi , Minchul Lee , Kicheon Kang , W. Belzig

This paper studies the physics of junctions containing superconducting $(S)$ and normal $(N)$ leads weakly coupled to an Anderson impurity in the Kondo regime $(K)$. Special attention is devoted to the case where one of the leads is a…

Strongly Correlated Electrons · Physics 2009-11-07 T. Aono , A. Golub , Y. Avishai

We theoretically study the superconducting proximity effect in a quantum dot coupled to two superconducting leads when the intradot interaction between electrons is made attractive. Because of the superconducting proximity effect, the…

Superconductivity · Physics 2020-12-24 Yu-Chun Hsu , Wu-Jing Chen , Chien-Te Wu

We use the poor man's scaling approach to study the phase boundaries of a pair of quantum impurity models featuring a power-law density of states $\rho(\omega)\propto|\omega|^r$ that gives rise to quantum phase transitions between…

Strongly Correlated Electrons · Physics 2017-07-12 Mengxing Cheng , Tathagata Chowdhury , Aaron Mohammed , Kevin Ingersent

We investigate theoretically equilibrium and dynamical properties of a Kondo impurity coupled to either 1D or 2D superconductors, modeled by the attractive Fermi-Hubbard model. By employing a non-Gaussian variational approach, we go beyond…

Strongly Correlated Electrons · Physics 2025-01-13 Zhi-Yuan Wei , Tao Shi , J. Ignacio Cirac , Eugene A. Demler

We study the critical Josephson current flowing through a double quantum dot weakly coupled to two superconducting leads. We use analytical as well as numerical methods to investigate this setup in the limit of small and large bandwidth…

Mesoscale and Nanoscale Physics · Physics 2016-11-02 B. Probst , F. Domínguez , A. Schroer , A. Levy Yeyati , P. Recher

We investigate the Josephson coupling between two superconductors mediated through an infinite U Anderson impurity, adapting a variational wavefunction approach which has proved successful for the Kondo model. Unlike the Kondo problem,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Rozhkov , Daniel P. Arovas

We investigate experimentally the supercurrent in a clean carbon nanotube quantum dot, close to orbital degeneracy, connected to superconducting leads in a regime of strong competition between local electronic correlations and…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 R. Delagrange , R. Weil , A. Kasumov , M. Ferrier , H. Bouchiat , R. Deblock

For the last decade, tunable quantum dot systems have allowed the investigation of Kondo physics wherein the quenching of a single spin on an artificial atom affects the conductance. The pseudogap Kondo model featuring a density of states…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 John Hopkinson , Karyn Le Hur , Emilie Dupont

Josephson currents are carried by sharp Andreev states within the superconducting energy gap. We theoretically study the electronic transport of a magnetically tunable nanoscale junction consisting of a quantum dot connected to two…

Mesoscale and Nanoscale Physics · Physics 2014-04-11 P. Stadler , C. Holmqvist , W. Belzig

In this work, we study a Josephson junction with parallel-connected quantum dots (QDs) threaded by a magnetic flux in the central region. We discretize the superconducting (SC) electrode into three discrete energy levels and modify the…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Yiyan Wang , Cong Li , Bing Dong

We discuss the two-channel Kondo problem with a pseudogap density of states, $\rho(\w)\propto|\w|^r$, of the bath fermions. Combining both analytical and numerical renormalization group techniques, we characterize the impurity phases and…

Strongly Correlated Electrons · Physics 2015-05-30 Imke Schneider , Lars Fritz , Frithjof B. Anders , Adel Benlagra , Matthias Vojta

We realize a hybrid superconductor-semiconductor transmon device in which the Josephson effect is controlled by a gate-defined quantum dot in an InAs/Al nanowire. Microwave spectroscopy of the transmon's transition spectrum allows us to…

We propose a novel platform for the study of quantum phase transitions in one dimension (1D QPT). The system consists of a specially designed chain of asymmetric SQUIDs; each SQUID contains several Josephson junctions with one junction…

Strongly Correlated Electrons · Physics 2018-12-04 M. T. Bell , B. Doucot , M. E. Gershenson , L. B. Ioffe , A. Petkovic

In this work, we employ a surrogate BCS model with discrete energy levels to investigate a hybrid system comprising two quantum dots (QD1 and QD2), where QD1 is tunnel-coupled to two superconducting leads. Through exact diagonalization of…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Cong Li , Yiyan Wang , Bing Dong

We study the subgap spectrum of the interacting single-level quantum dot coupled between two superconducting reservoirs, forming the Josephson-type circuit, and additionally hybridized with a metallic normal lead. This system allows for the…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Tadeusz Domański , Martin Žonda , Vladislav Pokorný , Grzegorz Górski , Václav Janiš , Tomáš Novotný

We consider a Hamiltonian model for a quantum dot which is placed between two superconducting leads with a constant bias imposed between these leads. Using the non-equilibrium Keldysh technique, we focus on the subgap current, where it is…

Mesoscale and Nanoscale Physics · Physics 2009-12-02 Thibaut Jonckheere , Alex Zazunov , K. Bayandin , Vitaly Shumeiko , Thierry Martin

The magnetic state of a quantum dot attached to superconducting leads is experimentally shown to be controlled by the superconducting phase difference across the dot. This is done by probing the relation between the Josephson current and…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 R. Delagrange , D. J. Luitz , R. Weil , A. Kasumov , V. Meden , H. Bouchiat , R. Deblock

A Josephson junction may be driven through a transition where the superconducting condensate favors an odd over an even number of electrons. At this switch in the ground-state fermion parity, an Andreev bound state crosses through the Fermi…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 B. Tarasinski , D. Chevallier , Jimmy A. Hutasoit , B. Baxevanis , C. W. J. Beenakker