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In this article we review the state of the art on the transport properties of quantum dot systems connected to superconducting and normal electrodes. The review is mainly focused on the theoretical achievements although a summary of the…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 A. Martin-Rodero , A. Levy Yeyati

We present a theory of transport through interacting quantum dots coupled to normal and superconducting leads in the limit of weak tunnel coupling. A Josephson current between two superconducting leads, carried by first-order tunnel…

Superconductivity · Physics 2010-09-03 Marco G. Pala , Michele Governale , Jürgen König

We apply a Gutzwiller-like variational technique to study Josephson conduction across a quantum dot with an odd number of electrons connected to two superconducting leads. We show that, for small values of the superconducting gap, Kondo…

Strongly Correlated Electrons · Physics 2007-05-23 G. Campagnano , D. Giuliano , A. Tagliacozzo

We study low-energy transport through a quantum dot coupled to one normal and two superconducting (SC) leads in a junction of Y-shape. In this geometry a crossover between Kondo dominated and Cooper-pairing dominated states occurs by tuning…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Akira Oguri , Yoichi Tanaka , Johannes Bauer

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

We study the interplay between the Kondo and Andreev-Josephson effects in a quantum dot coupled to one normal and two superconducting (SC) leads. In the large gap limit, the low-energy states of this system can be described exactly by a…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Akira Oguri , Yoichi Tanaka

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 analyze the magnetic and transport properties of a double quantum dot coupled to superconducting leads. In addition to the possible phase transition to a $\pi$ state, already present in the single dot case, this system exhibits a richer…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. S. Bergeret , A. Levy Yeyati , A. Martin-Rodero

We present a real-time diagrammatic theory for transport through interacting quantum dots tunnel coupled to normal and superconducting leads. Our formulation describes both the equilibrium and non-equilibrium superconducting proximity…

Superconductivity · Physics 2008-09-05 Michele Governale , Marco G. Pala , Jürgen König

We investigate the AC Josephson current through a quantum dot with strong Coulomb interaction attached to two superconducting and one normal lead. To this end, we perform a perturbation expansion in the tunneling couplings within a…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Bastian Hiltscher , Michele Governale , Jürgen König

We investigate the temperature- and coupling-dependent transport through Kondo dot contacts with symmetric superconducting s-wave leads. For finite temperature T we use a superconducting extension of a selfconsistent auxiliary boson scheme,…

Strongly Correlated Electrons · Physics 2007-07-12 Gabriel Sellier , Thilo Kopp , Johann Kroha , Yuri S. Barash

We study the behavior of a topological Josephson junction in which two topological superconductors are coupled through a quantum dot. We focus on the case with the bulk superconducting gap being the largest energy scale. Two parameter…

Superconductivity · Physics 2016-05-11 Yu-Li Lee , Yu-Wen Lee

We derive, via fourth order perturbation theory, an expression for the Josephson current through a gated interacting quantum dot. We analyze our expression for two different models of the superconductor-dot-superconductor (SDS) system. When…

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

We discuss the behavior of a two-level system coupled to a quantum dot contacted by superconducting source/drain electrodes, representing a simple model for the conformational degree of freedom of a molecular dot or a break junction. The…

Superconductivity · Physics 2009-11-13 A. Zazunov , A. Schulz , R. Egger

The dc Josephson effect in a superconducting quantum point contact, where supercurrent flows through a small number of channels, is reviewd. The central role of Andreev levels is emphasized which carry the whole supercurrent in short…

Superconductivity · Physics 2009-10-31 A. Furusaki

We apply a Gutzwiller-like variational technique to study Josephson conduction across a quantum dot with an odd number of electrons connected to two superconducting leads. Our method projects out all states on the dot but the Kondo singlet…

Strongly Correlated Electrons · Physics 2009-11-10 Gabriele Campagnano , Domenico Giuliano , Adele Naddeo , Arturo Tagliacozzo

We derive a microscopic effective action for superconducting contacts with arbitrary transmission distribution of conducting channels. Provided fluctuations of the Josephson phase remain sufficiently small our formalism allows to fully…

Superconductivity · Physics 2015-05-18 A. V. Galaktionov , A. D. Zaikin

Josephson current for a system consisting of an Anderson impurity weakly coupled to two unconventional superconductors is studied and shown to be driven by a surface zero energy (mid-gap) bound-state. The repulsive Coulomb interaction in…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Avishai , A. Golub

We study the transport properties of a serial double quantum dot (DQD) coupled to two superconducting leads, focusing on the Josephson current through the DQD and the associated 0-$\pi$ transitions which result from the subtle interplay…

Mesoscale and Nanoscale Physics · Physics 2011-03-31 Rok Zitko , Minchul Lee , Rosa Lopez , Ramon Aguado , Mahn-Soo Choi

We consider transport through a Josephson junction consisting of a conventional s-wave superconductor coupled via a double quantum dot to a noncentrosymmetric superconductor with both, singlet and triplet pairing. We calculate the Andreev…

Superconductivity · Physics 2015-07-13 Björn Sothmann , Rakesh P. Tiwari
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