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We predict that the Josephson current in a clean s-wave superconductor-normal metal-d-wave superconductor junction is periodic in superconducting phase difference $\phi$ with period $\pi$ instead of $2\pi$. The frequency of non-stationary…

Superconductivity · Physics 2009-10-30 Alexandre M. Zagoskin

We study junctions between superconductors mediated by the edge states of a quantum spin Hall insulator. We show that such junctions exhibit a fractional Josephson effect, in which the current phase relation has a 4\pi, rather than a 2\pi…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Liang Fu , C. L. Kane

Josephson junctions based on quantum dots offer a convenient tunability by means of local gates. Here we analyze a Josephson junction based on a serial double quantum dot in which the two dots are individually gated by phase-shifted…

Mesoscale and Nanoscale Physics · Physics 2023-04-12 Carlos Ortega-Taberner , Antti-Pekka Jauho , Jens Paaske

We consider phase-biased Josephson junctions with spin-orbit coupling under external magnetic fields and study the emergence of the Josephson diode effect in the presence of Majorana bound states. We show that junctions having middle…

Superconductivity · Physics 2024-03-08 Jorge Cayao , Naoto Nagaosa , Yukio Tanaka

We propose the "Andreev molecule", an artificial quantum system composed of two closely spaced Josephson junctions. The coupling between Josephson junctions in an Andreev molecule occurs through the overlap and hybridization of the…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 J. -D. Pillet , V. Benzoni , J. Griesmar , J. -L. Smirr , Ç. Ö. Girit

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

Multiple systems hosting Andreev molecular states have been proposed and studied, consisting of closely spaced Josephson junctions modeled as ballistic channels. We show that replacing the ballistic channels in the weak link of the…

Mesoscale and Nanoscale Physics · Physics 2025-09-25 Mátyás Kocsis , Zoltán Scherübl , Gergő Fülöp , Péter Makk , Szabolcs Csonka

We study theoretically the large variations of the supercurrent through a normal dot that are induced by a small quasiparticle injection current from normal leads connected to the dot. We find that the supercurrent decomposes into a subgap…

Superconductivity · Physics 2022-12-07 Sarath Sankar , Julia S. Meyer , Manuel Houzet

A semiconductor nanowire based superconductor-normal-superconductor (SNS) junction is modeled theoretically. A magnetic field is applied along the nanowire axis, parallel to the current. The Bogoliubov-de Gennes equations for Andreev bound…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Kaveh Gharavi , Jonathan Baugh

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 measured the Josephson radiation emitted by an InSb semiconductor nanowire junction utilizing photon assisted quasiparticle tunneling in an AC-coupled superconducting tunnel junction. We quantify the action of the local microwave…

The interplay between novel topological states and superconductivity has garnered substantial interest due to its potential for topological quantum computing. The Josephson effect serves as a useful probe for edge superconductivity in these…

Superconductivity · Physics 2024-11-12 Junjie Qi , Chui-Zhen Chen , Juntao Song , Jie Liu , Ke He , Qing-Feng Sun , X. C. Xie

The rise of topological phases of matter is strongly connected to their potential to host Majorana bound states, a powerful ingredient in the search for a robust, topologically protected, quantum information processing. In order to produce…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Erwann Bocquillon , Jonas Wiedenmann , Russell S. Deacon , Teunis M. Klapwijk , Hartmut Buhmann , Laurens W. Molenkamp

A formula for the Josephson current between two superconductors with anisotropic pairing symmetries is derived based on the mean-field theory of superconductivity. Zero-energy states formed at the junction interfaces is one of basic…

Superconductivity · Physics 2009-11-07 Yasuhiro Asano

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

The first evidence of anomalous Josephson effect is reported in mesoscopic superconductor-normal metal-superconductor (SNS) junctions forming a crosslike Andreev Interferometer in the absence of magnetic and spin-orbit interactions normally…

Superconductivity · Physics 2023-06-02 D. Margineda , J. S. Claydon , F. Qejvanaj , C. Checkley

The fractional Josephson effect is known to be a characteristic phenomenon of topological Josephson junctions hosting Majorana zero modes (MZMs), where the Josephson current has a $4\pi$ (rather than a $2\pi$) periodicity in the phase…

Superconductivity · Physics 2021-12-01 Shuntaro Sumita , Akira Furusaki

We study theoretically the Josephson current-phase relationship in a chaotic quantum dot coupled to superconductors by ballistic contacts. In this regime, strong proximity effect induces superconductivity in the quantum dot that leads to a…

Superconductivity · Physics 2018-06-27 Colin M. Whisler , Maxim G. Vavilov , Alex Levchenko

The conventional Josephson effect may be modified by introducing spin-active scattering in the interface-layer of the junction. Here, we discuss a Josephson junction consisting of two s-wave superconducting leads coupled over a classical…

Superconductivity · Physics 2016-03-07 Cecilia Holmqvist , Wolfgang Belzig , Mikael Fogelström

Josephson radiation is a powerful method to probe Majorana zero modes in topological superconductors. Recently, Josephson radiation with half the Josephson frequency has been experimentally observed in a HgTe-based junction, possibly from…

Superconductivity · Physics 2020-06-30 Jia-Jin Feng , Zhao Huang , Zhi Wang , Qian Niu