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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

We study the dynamics of Josephson junction arrays with positional disorder and driven by an external current. We consider weak magnetic fields, corresponding to a frustration $f=n+1/25$ with $n$ integer. We find that above the critical…

Condensed Matter · Physics 2009-10-28 Daniel Dominguez

We investigate the superfluid dynamics of a Josephson junction beyond the mean-field description, incorporating the role of thermal fluctuations as well as quantum fluctuations. Using a formalism that accounts for the fluctuations in a…

Quantum Gases · Physics 2026-05-01 Andrea Bardin , Francesco Lorenzi , Luca Salasnich

Bosons with density-dependent hopping on a one dimensional lattice have been shown to emulate anyonic particles with fractional exchange statistics. Leveraging this, we construct a Josephson junction setup, where an insulating barrier in…

Quantum Physics · Physics 2025-07-29 Jessica John Britto

We examine the dynamical consequences of Berry's phase for Josephson junctions, junction arrays, and their vortices. Josephson's equation and the related phase slip voltages are shown to be uneffected by Berry's phase. In an annular…

Condensed Matter · Physics 2007-05-23 Frank Gaitan , Subodh R. Shenoy

The Josephson effect is a prominent phenomenon of quantum supercurrents that has been widely studied in superconductors and superfluids. Typical Josephson junctions consist of two real-space superconductors (superfluids) coupled through a…

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

Since effectively the local contact vortex velocity dependent part of the Magnus force in a Josephson junction array is zero in the classical limit, we predict zero classical Hall effect. In the quantum limit because of the geometric phases…

Condensed Matter · Physics 2009-10-28 P. Ao , Y. Tan , X. -M. Zhu

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing,…

We propose an alternative explanation to the oscillations of the flux-flow resistance found in several previously published experiments with BiSrCaCuO stacks. It has been argued by the previous authors that the period of the oscillations…

Superconductivity · Physics 2009-11-11 A. V. Ustinov , N. F. Pedersen

We study the anomalous Josephson effect, as well as the dependence on the direction of the critical Josephson current, in an S/N/S junction, where the normal part is realized by alternating spin-orbit coupled and ferromagnetic layers. We…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 M. Minutillo , D. Giuliano , P. Lucignano , A. Tagliacozzo , G. Campagnano

Josephson junction arrays are ideal model systems where a variety of phenomena, phase transitions, frustration effects, vortex dynamics, chaos, to mention a few of them, can be studied in a controlled way. In this review we focus on the…

Condensed Matter · Physics 2009-10-31 Rosario Fazio , Herre van der Zant

We report on the spontaneous production of fluxons in the presence of a symmetry-breaking magnetic field for annular Josephson tunnel junctions during a thermal quench. The dependence on field intensity $B$ of the probability $\bar{f_1}$ to…

Superconductivity · Physics 2009-11-13 R. Monaco , M. Aaroe , J. Mygind , R. J. Rivers , V. P. Koshelets

A Josephson junction can be subjected to a local, strongly inhomogeneous magnetic field in various experimental situations. Here this problem is analyzed analytically and numerically. A modified sine-Gordon type equation in the presence of…

Superconductivity · Physics 2020-04-29 V. M. Krasnov

We analyze the dc Josephson effect in a ballistic superconductor/ferromagnet/superconductor junction by means of the Bogoliubov-de Gennes equations in the quasiclassical Andreev approximation. We consider the possibility of ferromagnetism…

Superconductivity · Physics 2015-05-20 Gaetano Annunziata , Henrik Enoksen , Jacob Linder , Mario Cuoco , Canio Noce , Asle Sudbø

In typical Josephson junctions, the Josephson current is an odd function of the superconducting phase difference. Recently, diode effect in Josephson junctions is observed in experiments wherein the maximum and the minimum values of the…

Superconductivity · Physics 2023-05-08 Abhiram Soori

Experimental observation of the strong influence of an array of ferromagnetic nanodots on the critical current of a short overlap Josephson junction is reported. Pronounced commensurability effects are detected due to the presence of the…

In the classical Josephson effect the phase difference across the junction is well defined, and the supercurrent is reduced only weakly by phase diffusion. For mesoscopic junctions with small capacitance the phase undergoes large quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hermann Grabert , Gert-Ludwig Ingold

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…

The decrease of the barrier transparency in superconductor-insulator-superconductor (SIS) Josephson junctions leads to the deviations of the current-phase relation from the sinusoidal form. The sign of second harmonics is important for many…

Superconductivity · Physics 2010-05-27 P. Kh. Atanasova , T. L. Boyadjiev , Yu. M. Shukrinov , E. V. Zemlyanaya