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We study the current in a clean superconductor-normal-metal-superconductor junction of length d and width w in the presence of an applied magnetic field H. We show that both the geometrical pattern of the current density and the critical…

Superconductivity · Physics 2009-10-31 Urs Ledermann , Alban L. Fauchere , Gianni Blatter

The stability of the bound states of the magnetic flux in a Josephson resistive lattices is investigated numerically. It is shown that for a simple relationship between the geometrical parameters of the lattice the range of bias current is…

Superconductivity · Physics 2025-10-20 T. Boyadjiev , N. Alexeeva

A numerical simulation is carried out for static vortices in a long Josephson junction with an exponentially varying width. At specified values of the parameters the corresponding boundary-value problem admits more than one solution. Each…

Superconductivity · Physics 2007-05-23 E. G. Semerdzhieva , T. L. Boyadzhiev , Yu. M. Shukrinov

Gauge-invariant phase difference and critical currents of cross-type Josephson junctions with thin and narrow superconducting strips exposed to three-dimensional magnetic fields are theoretically investigated. When a sandwich-type Josephson…

Superconductivity · Physics 2022-03-29 Yasunori Mawatari

Josephson traveling wave parametric amplifiers with heterogeneously spaced junctions are theoretically investigated. We consider unit cells with three junctions and characterize their interaction by spatially displaced fields defined by…

Quantum Physics · Physics 2025-09-10 M. A. Gali Labarias , T. Yamada , Y. Nakashima , Y. Urade , J. Claramunt , K. Inomata

We study the Josephson current in long ballistic superconductor-monolayer graphene-superconductor junctions. As a first step, we have developed an efficient computational approach to calculate the Josephson current in tight-binding systems.…

Mesoscale and Nanoscale Physics · Physics 2016-06-15 Péter Rakyta , Andor Kormányos , József Cserti

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 study the Josephson effect in small one-dimensional (1D) Josephson junction arrays. For weak Josephson tunneling, topologically different regions in the charge-stability diagram generate distinct current-phase relationships (I$\Phi$). We…

Mesoscale and Nanoscale Physics · Physics 2008-08-28 Jens Koch , Karyn Le Hur

We study the Josephson current through a ballistic normal metal layer of thickness $D$ on which two superconducting electrodes are deposited within a distance $L$ of each other. In the presence of an ({\it in-layer}) magnetic field we find…

Superconductivity · Physics 2009-11-13 G. Mohammadkhani , M. Zareyan , Ya. M. Blanter

The Josephson current in a diffusive superconductor/ferromagnet/superconductor junction with precessing magnetization is calculated within the quasiclassical theory of superconductivity. When the junction is phase-biased, a stationary…

Superconductivity · Physics 2015-03-31 M. Houzet

The behavior of a long Josephson tunnel junction drastically depends on the distribution of the dc bias current. We investigate the case in which the bias current is fed in the central point of a one-dimensional junction. Such junction…

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

We theoretically consider a Josephson junction formed by a ferromagnetic spacer with a strong spin-orbit interaction or a magnetic spin valve, i.e., a bilayer with one static and one free layer. Electron spin transport facilitates a…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Silas Hoffman , Ya. M. Blanter , Yaroslav Tserkovnyak

We analyze a new long wave model describing the electrodynamics of an array of point Josephson junctions in a superconducting cavity. It consists in a wave equation with Dirac delta function sine nonlinearities. We introduce an adapted…

Superconductivity · Physics 2010-04-06 J. -G. Caputo , L. Loukitch

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

The flux-flow dynamics in a long Josephson junction is studied both analytically and numerically. A realistic model of the junction is considered by taking into account a nonuniform current distribution, surface losses and self-pumping…

Superconductivity · Physics 2013-05-29 Marek Jaworski

We study a diffusive superconductor - normal metal - superconductor (SNS) junction in an external magnetic field. In the limit of a long junction, we find that the form of the dependence of the Josephson current on the field and on the…

Superconductivity · Physics 2013-04-16 B. Crouzy , D. A. Ivanov

We consider branched Josephson junction created by planar superconductors connected to each other through the Y-junction insulator. Assuming that the structure interacts with the external constant magnetic field, we study static sine-Gordon…

Mesoscale and Nanoscale Physics · Physics 2020-07-14 K. Sabirov , D. Babajanov , D. Matrasulov , H. Susanto

Critical curves "critical current - external magnetic field" of long Josephson junctions with inhomogeneity and variable width are studied. We demonstrate the existence of the regions of magnetic field where some fluxon states are stable…

Superconductivity · Physics 2009-09-29 T. L. Boyadjiev , O. Yu. Andreeva , E. G. Semerdjieva , Yu. M. Shukrinov

We consider theoretically and numerically magnetic field dependencies of the maximum supercurrent across Josephson tunnel junctions with spatially alternating critical current density. We find that two flux-penetration fields and…

Superconductivity · Physics 2009-11-13 Maayan Moshe , C. W. Schneider , G. Bensky , R. G. Mints

We report experimental and numerical analysis of expontentially shaped long Josephson junctions with lateral current injection. Quasi-linear flux flow branches are observed in the current-voltage characteristic of the junctions in the…

Superconductivity · Physics 2009-11-07 G. Carapella , N. Martucciello , G. Costabile