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We study the transport properties of a quantum dot coupled to a normal and a superconducting lead. The dot is represented by a generalized Anderson model. Correlation effects are taken into account by an appropriate self-energy which…

Strongly Correlated Electrons · Physics 2009-10-31 J. C. Cuevas , A. Levy Yeyati , A. Martin-Rodero

The energy spectrum of cake shape normal - superconducting systems is calculated by solving the Bogoliubov-de Gennes equation. We take into account the mismatch in the effective masses and Fermi energies of the normal and superconducting…

Superconductivity · Physics 2016-08-16 J. Cserti , B. Béri , P. Pollner , Z. Kaufmann

We present an extension of the local moment approach to the Anderson impurity model with spin-dependent hybridization. By employing the two-self-energy description, as originally proposed by Logan and co-workers, we applied the symmetry…

Strongly Correlated Electrons · Physics 2011-08-04 Choong H. Kim , Jaejun Yu

We argue that at subgap energies quantum behavior of superconducting weak links can be exactly accounted for by an effective Hamiltonian for a Josephson particle in a quantum dissipative environment formed by Andreev levels. This…

Superconductivity · Physics 2017-10-18 A. V. Galaktionov , D. S. Golubev , A. D. Zaikin

We present a new method to calculate directly the one-particle self-energy of an impurity Anderson model with Wilson's numerical Renormalization Group method by writing this quantity as the ratio of two correlation functions. This way of…

Strongly Correlated Electrons · Physics 2009-10-31 R. Bulla , A. C. Hewson , Th. Pruschke

By coupling a semiconductor-based planar Josephson junction to a superconducting resonator, we investigate the Andreev bound states in the junction using dispersive readout techniques. Using electrostatic gating to create a narrow…

A method for constructing the low energy effective models for pairings in the generalized Bernevig-Hughes-Zhang model for materials like Bi$_{2}$Se$_{3}$ is proposed. Pairings in this two-orbital model are identified with those familiar in…

Superconductivity · Physics 2015-02-25 Lei Hao , Ting-Kuo Lee

We demonstrate that phase-dependent heat currents through superconductor-topological insulator Josephson junctions provide a useful tool to probe the existence of topological Andreev bound states, even for multi-channel surface states. We…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 Björn Sothmann , Ewelina M. Hankiewicz

We present a microscopic theory for the current through a tunnel Josephson junction coupled to a non-linear environment, which consists of an Andreev two-level system coupled to a harmonic oscillator. It models a recent experiment…

Mesoscale and Nanoscale Physics · Physics 2014-10-13 L. Bretheau , Ç. Girit , M. Houzet , H. Pothier , D. Esteve , C. Urbina

We investigate a quantum dot (Anderson impurity) coupled to metallic leads, with a time-periodic voltage bias across the device. Using a time-dependent Schrieffer-Wolff transformation, we show that the Floquet Hamiltonian of the model can…

Strongly Correlated Electrons · Physics 2017-04-10 Martin Eckstein , Philipp Werner

Self-consistent perturbation expansion up to the second order in the interaction strength is used to study a single-level quantum dot with local Coulomb repulsion attached asymmetrically to two generally different superconducting leads. At…

Mesoscale and Nanoscale Physics · Physics 2016-02-02 Martin Žonda , Vladislav Pokorný , Václav Janiš , Tomáš Novotný

We analyze the spectral density of a single level quantum dot coupled to superconducting leads focusing on the Andreev states appearing within the superconducting gap. We use two complementary approaches: the numerical renormalization group…

Mesoscale and Nanoscale Physics · Physics 2012-09-19 A. Martín-Rodero , A. Levy Yeyati

The self-energy method for quantum impurity models expresses the correlation part of the self-energy in terms of the ratio of two Green's functions and allows for a more accurate calculation of equilibrium spectral functions than is…

Strongly Correlated Electrons · Physics 2021-11-24 H. T. M. Nghiem , T. A. Costi

We study the out-of-equilibrium current through an interacting quantum dot modelled as an Anderson impurity contacted by two BCS superconductors held at fixed voltage bias. In order to account for multiple Andreev reflections, we develop a…

Superconductivity · Physics 2008-03-26 L. Dell'Anna , A. Zazunov , R. Egger

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 present a detailed study of the spectral properties of a locally correlated site embedded in a BCS superconducting medium. To this end the Anderson impurity model with superconducting bath is analysed by numerical renormalisation group…

Strongly Correlated Electrons · Physics 2009-11-13 J Bauer , A Oguri , AC Hewson

The method of continuous unitary transformations (CUTs) is applied to the Anderson impurity and the Kondo model aiming at the systematic derivation of convergent effective models. If CUTs are applied in a conventional way, diverging…

Strongly Correlated Electrons · Physics 2015-03-03 Jörn Krones , Götz S. Uhrig

We analyze the rectification properties of voltage-biased Josephson junctions exhibiting the superconducting diode effect. Taking into account multiple Andreev reflection (MAR) processes in our scattering theory, we consider a short weak…

Superconductivity · Physics 2024-01-18 A. Zazunov , J. Rech , T. Jonckheere , B. Grémaud , T. Martin , R. Egger

The nonequilibrium spectral properties of the Anderson impurity model with a chemical potential bias are investigated within a numerically exact real time quantum Monte Carlo formalism. The two-time correlation function is computed in a…

Strongly Correlated Electrons · Physics 2014-04-11 Guy Cohen , Emanuel Gull , David R. Reichman , Andrew J. Millis

The density matrix renormalization group method is applied to obtain the ground state phase diagram of the single impurity Anderson model on the honeycomb lattice at half filling. The calculation of local static quantities shows that the…

Strongly Correlated Electrons · Physics 2016-06-23 Tomonori Shirakawa , Seiji Yunoki