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The problem of vortex structure in a single Josephson junction in an external magnetic field, in the absence of transport currents, is reconsidered from a new mathematical point of view. In particular, we derive a complete set of exact…

Superconductivity · Physics 2007-05-23 S. V. Kuplevakhsky , A. M. Glukhov

We consider a long Josephson junction excited by a suitable external ac-signal, in order to generate control and detect breathers. Studying the nonlinear supratransmission phenomenon in a nonlinear sine-Gordon chain sinusoidally driven,…

Superconductivity · Physics 2022-07-05 Claudio Guarcello , Davide Valenti , Bernardo Spagnolo

We consider the stationary sine-Gordon equation on metric graphs with simple topologies. The vertex boundary conditions are provided by flux conservation and matching of derivatives at the star graph vertex. Exact analytical solutions are…

Exactly Solvable and Integrable Systems · Physics 2018-03-20 K. Sabirov , S. Rakhmanov , D. Matrasulov , H. Susanto

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

We investigate Josephson junctions on the surface of a three-dimensional topological insulator in planar, step, and edge geometries. The elliptical nature of the Dirac cone representing the side surface states of the topological insulator…

Mesoscale and Nanoscale Physics · Physics 2014-08-11 Jennifer Nussbaum , Thomas L. Schmidt , Christoph Bruder , Rakesh P. Tiwari

We considered a planar Josephson junction which is composed of two s-wave superconducting contacts deposited on the top of a thin antiferromagnetic (AFM) disordered metal film. In such a system noticeable Josephson currents may be observed,…

Superconductivity · Physics 2026-03-09 A. G. Mal'shukov

Graphene-based Josephson junctions played an important role in various quantum devices from their inception. Magnetic tunnel junctions or vertical devices were also made out of graphene by exposing the graphene layer to localised pattern of…

Mesoscale and Nanoscale Physics · Physics 2024-12-25 Partha Sarathi Banerjee , Rahul Marathe , Sankalpa Ghosh

The phase dynamics of a long Josephson junction with spatially inhomogeneously distributed bias current is considered for the case of a dense soliton chain (regime of the Flux Flow oscillator). To derive the analytical solution of the…

Superconductivity · Physics 2009-11-07 Andrey L. Pankratov

We simulate the current-voltage relation of short layered superconductors, which we model as stacks of capacitively coupled Josephson junctions. The system is driven by external laser fields, in order to optically control the voltage drop…

Superconductivity · Physics 2019-10-30 Frank Schlawin , Anastasia S. D. Dietrich , Dieter Jaksch

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

The concept of coupled robust field induced Josephson junctions placed in complex electromagnetic environments is presented. Such structures are made by polarization of superconducting nanostructures by magnetic fields. The methodology of…

Mesoscale and Nanoscale Physics · Physics 2020-10-01 Krzysztof Pomorski

We have carried out a detailed experimental investigation of the static properties of planar Josephson tunnel junctions in presence of a uniform external magnetic field applied in an arbitrary orientation with respect to the barrier plane.…

Superconductivity · Physics 2011-01-11 R. Monaco , M. Aroe , J. Mygind , V. P. Koshelets

Traditionally, since the discovery of the Josephson effect in 1962, the magnetic diffraction pattern of planar Josephson tunnel junctions has been recorded with the field applied in the plane of the junction. Here we discuss the static…

Superconductivity · Physics 2012-03-29 R. Monaco , M. Aaroe , J. Mygind , V. P. Koshelets

A stationary Josephson effect in a weak-link between misorientated nonunitary triplet superconductors is investigated theoretically. The non-self-consistent quasiclassical Eilenberger equation for this system has been solved analytically.…

Superconductivity · Physics 2009-11-11 G. Rashedi , Yu. A. Kolesnichenko

We propose and analyze a mesoscopic Josephson junction consisting of two ferromagnetic insulator-superconductors (FI-Ss) coupled through a normal metal (N) layer. The Josephson current of the junction is non-trivially affected by the…

Mesoscale and Nanoscale Physics · Physics 2017-08-28 E. Strambini , F. S. Bergeret , F. Giazotto

We consider discrete sine-Gordon equation on branched domains. The latter is modeled in terms of the metric graphs with discrete bonds having the form of the branched 1D chains. Exact analytical solutions of the problem are obtained for…

Exactly Solvable and Integrable Systems · Physics 2023-01-16 M. E. Akramov , J. R. Yusupov , I. N. Askerzade , D. U. Matrasulov

A Josephson junction is made of two superconductors sandwiching an insulator, and a Josephson vortex is a magnetic vortex (flux tube) absorbed into the Josephson junction, whose dynamics can be described by the sine-Gordon equation. In a…

High Energy Physics - Theory · Physics 2015-08-07 Muneto Nitta

For a microscopic model of a Josephson junction the normal coordinates of the two junction Goldstone bosons are constructed and their dynamical spectrum is computed. The explicit dependence on the phase difference of the two superconductors…

Mathematical Physics · Physics 2009-11-11 B. Dierckx , A. Verbeure

We develop a theoretical framework for planar quasi-ballistic Josephson junctions, where multiple superconducting leads are coupled through a large, nearly ballistic normal metal crystal. Our approach, based on quasiclassical Eilenberger…

Superconductivity · Physics 2025-12-02 G. A. Bobkov , I. V. Bobkova , A. M. Bobkov , K. B. Polevoy , V. S. Stolyarov

The stationary Josephson effect in a system of ballistic graphene is studied in the framework of quasiclassical Green's function theory. Reflecting the ultimate two-dimensionality of graphene, a Josephson junction involving a graphene sheet…

Mesoscale and Nanoscale Physics · Physics 2012-08-24 Yositake Takane , Ken-Ichiro Imura