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I consider a Josephson junction crossing the middle of a thin rectangular superconducting strip of length L and width W subjected to a perpendicular magnetic induction B. I calculate the spatial dependence of the gauge-invariant phase…

Superconductivity · Physics 2015-05-18 John R. Clem

A key phenomenon related to the Josephson effect is oscillations of different properties of superconducting tunneling junctions with magnetic field. We consider magnetic oscillations of the critical current in stacks of intrinsic Josephson…

Superconductivity · Physics 2011-11-09 A. E. Koshelev

We investigate Josephson junctions among conventional superconducting wires, in the presence of externally applied Zeeman fields and supercurrents. We demonstrate that the critical Josephson current and the current-phase relation of the…

Superconductivity · Physics 2022-08-02 Giorgos Livanas

The magnetic field dependent critical current $I_{\text{c}}(B)$ of a Josephson junction is determined by the screening currents in its electrodes. In macroscopic junctions, a local vector potential drives the currents, however, in thin film…

Superconductivity · Physics 2023-02-13 Remko Fermin , Bob de Wit and , Jan Aarts

We consider theoretically a Josephson junction with a superconducting critical current density which has a random sign along the junction's surface. We show that the ground state of the junction corresponds to the phase difference equal to…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Zyuzin , B. Spivak

Topological superconductors are appealing building blocks for robust and reliable quantum information processing. Most platforms for engineering topological superconductivity rely on a combination of superconductors, materials with…

Mesoscale and Nanoscale Physics · Physics 2025-08-06 Ignacio Sardinero , Rubén Seoane Souto , Pablo Burset

The critical currents in Josephson junctions of conventional superconductors with macroscopic defects are calculated for different defect critical current densities as a function of the magnetic field. We also study the evolution of the…

Superconductivity · Physics 2009-10-31 N. Stefanakis , N. Flytzanis

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,…

Planar Josephson junctions in a magnetic field exhibit the superconducting diode effect, by which the critical current magnitude depends on the polarity of the transport current. A number of different mechanisms for the effect have been…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 William F. Schiela , Melissa Mikalsen , William M. Strickland , Javad Shabani

Josephson junctions form the essential non-linearity for almost all superconducting qubits. The junction is formed when two superconducting electrodes come within $\sim$1 nm of each other. Although the capacitance of these electrodes is a…

The magnetic field effect in the Josephson tunneling between two d-wave superconductors are investigated. When the crystal orientation of one (or each) superconductor relative to the interface normal is such that midgap states exist at the…

Superconductivity · Physics 2009-10-31 X. -Z. Yan , C. -R. Hu

We study mesoscopic fluctuations in the supercurrent of a Josephson junction consisting of a topological insulator microbridge between two conventional superconductors. In the model, we account for the strong proximity effect when…

Mesoscale and Nanoscale Physics · Physics 2022-12-02 Marcus Marinho , Guilherme Vieira , Tobias Micklitz , Georg Schwiete , Alex Levchenko

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…

A mechanism of a superconductivity-mediated interaction of two magnets in a system of coupled superconductor/ferromagnet/superconductor (S/F/S) Josephson junctions (JJs) with spin-orbit interaction is proposed. The predicted indirect…

Superconductivity · Physics 2022-01-21 G. A. Bobkov , I. V. Bobkova , A. M. Bobkov

We have studied the magnetic-field-driven quantum phase transitions in Josephson junction arrays with a large coordination number. The characteristic energies were extracted in both the superconducting and insulating phases by integrating…

Disordered Systems and Neural Networks · Physics 2012-01-04 J. Paramanandam , M. T. Bell , L. B. Ioffe , M. E. Gershenson

This article presents the phase dynamics of an inline long Josephson junction in voltage state under the influence of constant external magnetic field. Fractional calculus approach is used to model the evolution of the phase difference…

Numerical Analysis · Mathematics 2018-11-15 Amer Rasheed , Imtiaz Ali

A substantial influence of the proximity and pair breaking effects on the range of internal phase differences is shown to take place in symmetric double Josephson junctions with closely spaced interfaces and to affect the evolution of the…

Superconductivity · Physics 2018-06-15 Yu. S. Barash

Massive electrodynamics for London's superconductivity and Josephson effect are derived. The propagation of massive boson inside a medium yields electric phenomena that are reflected in the Josephson effect. Critical force, magnetic field…

General Physics · Physics 2018-03-08 A. I. Arbab

Junctions created by coupling two superconductors via a semiconductor nanowire in the presence of high magnetic fields are the basis for detection, fusion, and braiding of Majorana bound states. We study NbTiN/InSb nanowire/NbTiN Josephson…

The critical current response to an applied out-of-plane magnetic field in a Josephson junction provides insight into the uniformity of its current distribution. In Josephson junctions with semiconducting weak links, the carrier density…