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A general formula for the current through a disordered normal--superconducting junction is derived, which is valid at finite temperature and includes the full voltage dependence. The result depends on a multichannel scattering matrix, which…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 G. B. Lesovik , A. L. Fauchère , G. Blatter

We present here an extensive theoretical analysis of the supercurrent of a superconducting point contact of arbitrary transparency in the presence of a microwave field. Our study is mainly based on two different approaches: a two-level…

Superconductivity · Physics 2015-05-28 F. S. Bergeret , P. Virtanen , A. Ozaeta , T. T. Heikkilä , J. C. Cuevas

We theoretically analyze the Andreev bound states and their coupling to external radiation in superconductor-nanowire-superconductor Josephson junctions. We provide an effective Hamiltonian for the junction projected onto the Andreev level…

Mesoscale and Nanoscale Physics · Physics 2017-09-18 Sunghun Park , A. Levy Yeyati

We predict a novel $(I_0,\phi_0)$-junction state of multi-terminal Andreev interferometers that emerges from an interplay between long-range quantum coherence and non-equilibrium effects. Under non-zero bias $V$ the current-phase relation…

Superconductivity · Physics 2018-03-09 Pavel E. Dolgirev , Mikhail S. Kalenkov , Andrei D. Zaikin

We theoretically investigate the behavior of Andreev levels in a single-orbital interacting quantum dot in contact to superconducting leads, focusing on the effect of electrostatic gating and applied magnetic field, as relevant for recent…

Strongly Correlated Electrons · Physics 2016-10-12 Nils Wentzell , Serge Florens , Tobias Meng , Volker Meden , Sabine Andergassen

We have extended the circuit theory of Andreev conductance [Phys.~Rev.~Lett. {\bf 73}, 1420 (1994)] to diffusive superconducting hybrid structures that contain an Aharonov-Bohm ring. The electrostatic potential distribution in the system is…

Condensed Matter · Physics 2009-10-28 T. H. Stoof , Yu. V. Nazarov

We theoretically study coherent multiple Andreev reflections in a biased three-terminal Josephson junction. We demonstrate that the direct current flowing through the junction consists of supercurrent components when the bias voltages are…

Mesoscale and Nanoscale Physics · Physics 2019-02-22 M. P. Nowak , M. Wimmer , A. R. Akhmerov

We study a quantum dot Josephson junction inside an Aharonov-Bohm environment. The geometry is modeled by an Anderson impurity coupled to two directly-linked BCS leads. We illustrate that the well-established picture of the low-energy…

Strongly Correlated Electrons · Physics 2009-11-13 C. Karrasch , V. Meden

Predictions are established for linear differential current-current cross-correlations dSab/dV in a symmetrically biased three-terminal normal metal-superconductor-normal metal (NSN) device. Highly transparent contacts turn out to be…

Superconductivity · Physics 2010-07-12 Axel Freyn , Martina Flöser , Régis Mélin

Wide mesoscopic superconducting - normal-metal - superconducting (S-N-S) junctions exhibit Andreev bound states which carry substantial supercurrents, even at temperatures for which the equilibrium Josephson effect is exponentially small…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Nathan Argaman

We develop a theory for the dynamics of an Andreev bound state hosted by a weak link of finite length for which charging effects are important. We derive the linear response of both the current through the link and charge accumulated in it…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 Pavel D. Kurilovich , Vladislav D. Kurilovich , Valla Fatemi , Michel H. Devoret , Leonid I. Glazman

We study the nonequilibrium Josephson current in a long two-dimensional ballistic SNS-junction with a normal reservoir coupled to the normal part of the junction. The current for a given superconducting phase difference $\phi$ oscillates as…

Superconductivity · Physics 2016-08-31 P. Samuelsson , A. Ingerman , V. S. Shumeiko , G. Wendin

We study the three terminal S-QD-S-QD-S Josephson junction biased with commensurate voltages. In the absence of an applied voltage, the Andreev bound states on each quantum dot hybridize forming an `Andreev molecule'. However, understanding…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 Andriani Keliri , Benoît Douçot

Andreev reflection is a fundamental transport process occurring at the junction between a normal metal and a superconductor (a N-S junction), when an incident electron from the normal side can only be transmitted in the superconductor as a…

Non-dissipative Josephson current through nanoscale superconducting constrictions is carried by spectroscopically sharp energy states, so-called Andreev bound states. Although theoretically predicted almost 40 years ago, no direct…

Superconductivity · Physics 2008-09-15 Jonas Skoldberg , Tomas Lofwander , Vitaly S. Shumeiko , Mikael Fogelstrom

A recently developed theory for the problem of Andreev reflection between a normal metal (N) and a multiband superconductor (MBS) assumes that the incident wave from the normal metal is coherently transmitted through several bands inside…

Superconductivity · Physics 2015-05-14 M. A. N. Araujo , P. D. Sacramento

Quasiperiodicity has recently been proposed to enhance superconductivity and its proximity effect. At the same time, there has been significant experimental progress in the fabrication of quasiperiodic structures, also in reduced…

Superconductivity · Physics 2024-09-27 Anna Sandberg , Oladunjoye A. Awoga , Annica M. Black-Schaffer , Patric Holmvall

It is shown that the spin-orbit and Zeeman interactions result in phase shifts of Andreev-reflected holes in disordered topological insulator, or normal Rashba spin-orbit-coupled wires, which are in a contact with an s-wave superconductor.…

Superconductivity · Physics 2018-05-01 A. G. Mal'shukov

We calculate the Josephson current between two one-dimensional (1D) nanowires oriented along $x$ with proximity induced $s$-wave superconducting pairing and separated by a narrow dielectric barrier in the presence of both Rashba spin-orbit…

Superconductivity · Physics 2017-08-02 E. Nakhmedov , O. Alekperov , F. Tatardar , Yu. M. Shukrinov , I. Rahmonov , K. Sengupta

The energy of an Andreev bound state in a clean normal metal in contact with two superconductors disperses with the difference $\Delta \phi$ in the superconducting phase between the superconductors in much the same way as the energies of…

Superconductivity · Physics 2023-01-25 Venkat Chandrasekhar
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