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We study the Josephson effect in a trijunction formed by two topological superconductor (TS) wires and a conventional $s$-wave superconductor. Using a boundary Green's function formalism, analytical results for the current-phase relation…

Mesoscale and Nanoscale Physics · Physics 2017-07-28 A. Zazunov , R. Egger , M. Alvarado , A. Levy Yeyati

The Josephson effect describes supercurrent flowing through a junction connecting two superconducting leads by a thin barrier [1]. This current is driven by a superconducting phase difference $\phi$ between the leads. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2017-07-28 D. B. Szombati , S. Nadj-Perge , D. Car , S. R. Plissard , E. P. A. M. Bakkers , L. P. Kouwenhoven

A planar Josephson junction with a normal metal attached on its top surface will form a hollow nanowire structure due to its three dimensional nature. In such hollow nanowire structure, the magnetic flux induced by a small magnetic field…

Superconductivity · Physics 2019-12-25 Jie Liu , Yijia Wu , Qing-Feng Sun , X. C. Xie

We propose a Josephson junction setup based on a topological insulator (TI) thin film to detect Majorana states, which exploits the unique helical and extended nature of the TI surface state. When the magnetic flux through the junction is…

Mesoscale and Nanoscale Physics · Physics 2013-10-30 Andrew C. Potter , Liang Fu

We consider a Josephson bijunction consisting of a thin $SIS$ $\pi$-Josephson junction sandwiched between two-dimensional semiconducting layers with strong Rashba spin-orbit interaction. Each of these layers forms an $SNS$ junction due to…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 Yanick Volpez , Daniel Loss , Jelena Klinovaja

We theoretically study topological superconductivity in elongated planar Josephson junctions. In the presence of spin-orbit coupling and an in-plane magnetic field, the Josephson junction can enter the topological phase and host zero-energy…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 D. Kuiri , P. Wójcik , M. P. Nowak

Recent experiments on planar superconductor-topological insulator-superconductor (S-TI-S) junctions, e.g., in Corbino geometry, have reported low-temperature nonzero Josephson currents in states with integer fluxoid (flux) induced in the…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Kiryl Piasotski , Omri Lesser , Adrian Reich , Pavel Ostrovsky , Eytan Grosfeld , Yuriy Makhlin , Yuval Oreg , Alexander Shnirman

Wires made of topological insulators (TI) are a promising platform for searching for Majorana bound states. These states can be probed by analyzing the fractional ac Josephson effect in Josephson junctions with the TI wire as a weak link.…

We carry out an extensive experimental and theoretical study of the Josephson effect in S-N-S junctions made of a diffusive normal metal (N) embedded between two superconducting electrodes (S). Our experiments are performed on Nb-Cu-Nb…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. Dubos , H. Courtois , B. Pannetier , F. K. Wilhelm , A. D. Zaikin , G. Schon

We study the Josephson effect in a superconductor--ferromagnet--superconductor (SFS) junction with ferromagnetic domains of non-collinear magnetization. As a model for our study we consider a diffusive junction with two ferromagnetic…

Superconductivity · Physics 2007-05-23 B. Crouzy , S. Tollis , D. A. Ivanov

We theoretically study topological planar Josephson junctions (JJs) formed from spin-orbit-coupled two-dimensional electron gases (2DEGs) proximitized by two superconductors and subjected to an in-plane magnetic field $B_\parallel$.…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 F. Setiawan , Ady Stern , Erez Berg

We consider a two-dimensional electron gas with strong spin-orbit coupling contacted by two superconducting leads, forming a Josephson junction. We show that in the presence of an in-plane Zeeman field the quasi-one-dimensional region…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Falko Pientka , Anna Keselman , Erez Berg , Amir Yacoby , Ady Stern , Bertrand I. Halperin

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

Recently, much research has been dedicated to understanding topological superconductivity and Majorana zero modes induced by a magnetic field in hybrid proximity structures. This paper proposes a realization of topological superconductivity…

Mesoscale and Nanoscale Physics · Physics 2019-03-14 G. Tkachov

We investigate the topological properties of a Josephson junction obtained by constraining a two-dimensional electron gas at oxide interface to form a quasi-1D conductor. We reveal an anomalous critical current behaviour with a magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-07-06 Alfonso Maiellaro , Jacopo Settino , Claudio Guarcello , Francesco Romeo , Roberta Citro

Josephson junctions enable dissipation-less electrical current through metals and insulators below a critical current. Despite being central to quantum technology based on superconducting quantum bits and fundamental research into…

Josephson junctions made of conventional superconductors display Fraunhofer-like oscillations of the critical current as a function of the threaded magnetic flux. When the superconductors are deposited on the surface of a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2026-01-22 Omri Lesser , Joon Young Park , Yuval Ronen , Thomas Werkmeister , Philip Kim , Yuval Oreg

We present a theory of the Josephson current in superconductor-normal metal-superconductor (SNS) junctions in the presence of generic spin-dependent fields, such as spin-orbit coupling (SOC), Zeeman fields, and altermagnetism. We consider…

Superconductivity · Physics 2026-04-10 Maryam Darvishi , F. Sebastián Bergeret , Stefan Ilić

Experimental techniques to verify Majoranas are of current interest. A prominent test is the effect of Majoranas on the Josephson current between two wires linked via a normal junction. Here, we study the case of a quantum dot connecting…

Mesoscale and Nanoscale Physics · Physics 2020-02-03 J. Schulenborg , K. Flensberg

We study the evolution of averaged transconductances in three-terminal Josephson junctions when the superconducting leads are led throughout a topological phase transition from an $s$-wave to a $p$-wave (Majorana) phase by an in-plane…

Superconductivity · Physics 2019-07-17 Lucila Peralta Gavensky , Gonzalo Usaj , Carlos A. Balseiro