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We derive an approximate analytic solution for a single fluxon in a double stacked Josephson junctions (SJJ's) for arbitrary junction parameters and coupling strengths. It is shown that the fluxon in a double SJJ's can be characterized by…

Superconductivity · Physics 2009-10-31 V. M. Krasnov

The dynamics of fluxons in long Josephson junctions is a well-known example of soliton physics and allows for studying highly nonlinear relativistic electrodynamics on a microscopic scale. Such fluxons are supercurrent vortices that can be…

We present a systematic study of the Cherenkov radiation of Josephson plasma waves by fast moving fluxon in a stack of coupled long Josephson junctions for different fluxon modes. It is found that at some values of parameters…

Superconductivity · Physics 2007-05-23 E. Goldobin , A. Wallraff , A. V. Ustinov

Two-fluxon state in an annular Josephson junction in the presence of external magnetic field is studied analytically, numerically and experimentally. We obtain an analytical expression for the potential of interaction between the fluxons…

Superconductivity · Physics 2012-08-27 A. A. Abdumalikov, , B. A. Malomed , A. V. Ustinov

A single magnetic fluxon moving at a high velocity in a Josephson multilayer (e.g., high-temperature superconductor such as BSCCO) can emit electromagnetic waves (Cherenkov radiation), which leads to formation of novel stable dynamic states…

Superconductivity · Physics 2009-10-31 E. Goldobin , B. A. Malomed , A. V. Ustinov

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

I review anomalous single and multi-fluxon properties of Stacked Josephson junctions (SJJ's). Throughout the paper I compare analytical, numerical and experimental results both for intrinsic HTSC and artificial low-$T_c$ SJJ's. Table of…

Superconductivity · Physics 2007-05-23 V. M. Krasnov

We study experimentally and theoretically the influence of phase-whirling (resistive) state in one junction of a two-fold Josephson stack on the fluxon motion in the other junction. In experiment, we measure the fluxon velocity versus…

Superconductivity · Physics 2007-05-23 E. Goldobin , A. V. Ustinov

We describe the dynamics of fluxons moving in a frustrated Josephson junction with p, d, and f-wave symmetry and calculate the I-V characteristics. The behavior of fluxons is quite distinct in the long and short length junction limit. For…

Pattern Formation and Solitons · Physics 2009-11-07 N. Stefanakis

The physics of Josephson tunnel junctions drastically depends on their geometrical configurations and here we show that also tiny geometrical details play a determinant role. More specifically, we develop the theory of short and long…

Superconductivity · Physics 2016-06-09 Roberto Monaco

Numerical investigation of the effects of junction geometry on the performance of the flux-flow type Josephson oscillator has been done. Using direct simulation of the sine-Gordon equation with account of RC load the spectral and power…

Superconductivity · Physics 2011-09-15 Leonid S. Revin , Andrey L. Pankratov

Dynamics of a fluxon in a stack of coupled long Josephson junctions is studied numerically. Based on the numerical simulations, we show that the dependence of the propagation velocity $c$ on the external bias current $\gamma$ is determined…

Pattern Formation and Solitons · Physics 2007-05-23 H. Susanto , T. P. P. Visser , S. A. van Gils

We present the numerical solutions for the I-V characteristics, and describe the motion of fluxons in a frustrated Josephson junction made of an unconventional triplet superconductor and an s-wave superconductor. In the inline geometry, and…

Superconductivity · Physics 2007-05-23 N. Stefanakis

Modulation of the critical current across layers, Ic(H), of stacked Josephson junctions (SJJs) as a function of an applied magnetic field parallel to the junction planes is studied theoretically and experimentally for different junction…

Superconductivity · Physics 2015-06-25 V. M. Krasnov , N. Mros , A. Yurgens , D. Winkler

Magnetic flux quanta, of value h/2e, in long Josephson junctions behave as (quasi) solitons. Fluxon dynamical states are well described by a perturbed sine-Gordon equation model, with boundary conditions determined by the junction geometry…

patt-sol · Physics 2009-09-25 R. D. Parmentier

Experiments towards realizing a readout of superconducting qubits by using ballistic Josephson vortices are reported. We measured the microwave radiation induced by a fluxon moving in an annular Josephson junction. By coupling a flux qubit…

Superconductivity · Physics 2015-06-12 Kirill G. Fedorov , Anastasia V. Shcherbakova , Roland Schäfer , Alexey V. Ustinov

Dynamics of a fluxon in a stack of inductively coupled long Josephson junctions is studied analytically and numerically. We demonstrate that the fluxon has a maximum velocity, which does not necessarily coincide with any of the…

Superconductivity · Physics 2007-05-23 E. Goldobin , B. A. Malomed , A. V. Ustinov

Interaction of a fluxon in the two-dimensional large Josephson junction with the finite area inhomogeneity is studied within the sine-Gordon theory. The spectral density of the emitted plane waves is computed exactly for the rectangular and…

Superconductivity · Physics 2014-12-12 Ivan O. Starodub , Yaroslav Zolotaryuk

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

We investigate the phase dynamics of a long Josephson junction (LJJ) with two-gap superconductors. In this junction, two channels for tunneling between the adjacent superconductor (S) layers as well as one interband channel within each S…

Superconductivity · Physics 2015-06-04 Ju H. Kim , Bal-Ram Ghimire , Hao-Yu Tsai
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