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A model of a ladder of Josephson junctions in a magnetic field is considered. The topological features of the zero-temperature phase diagram, as a function of charging energy and small deviations from commensurability of the vortex lattice,…

Condensed Matter · Physics 2016-08-31 Enzo Granato

We investigate the coherent energy and thermal transport in a temperature-biased long Josephson tunnel junction, when a Josephson vortex, i.e., a soliton, steadily drifts driven by an electric bias current. We demonstrate that thermal…

Mesoscale and Nanoscale Physics · Physics 2018-09-06 Claudio Guarcello , Paolo Solinas , Alessandro Braggio , Francesco Giazotto

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

We consider the effect of positional disorder on a Josephson junction array with an applied magnetic field of f=1/2 flux quantum per unit cell. This is equivalent to the problem of random Gaussian phase shifts in the fully frustrated 2D XY…

Superconductivity · Physics 2009-10-31 Pramod Gupta , S. Teitel

We study the non-equilibrium dynamical regimes of a moving vortex lattice in the periodic pinning of a Josephson junction array (JJA) for {\it finite temperatures} in the case of a fractional or submatching field. We obtain a phase diagram…

Superconductivity · Physics 2007-05-23 Veronica I. Marconi , Daniel Dominguez

A long Josephson junction containing regions with a phase shift of pi is considered. By exploiting the defect modes due to the discontinuities present in the system, it is shown that Josephson junctions with phase-shift can be an ideal…

Pattern Formation and Solitons · Physics 2015-05-20 H. Susanto , G. Derks

Recent microwave reflection measurements of Josephson junction ladders have suggested the presence of nearly coherent collective charge oscillations deep in the insulating phase. Here we develop a qualitative understanding of such coherent…

Superconductivity · Physics 2019-06-26 Huan-Kuang Wu , Jay D. Sau

We characterize numerically the dominant dynamical regimes in a superfluid ultracold fermionic Josephson junction. Beyond the coherent Josephson plasma regime, we discuss the onset and physical mechanism of dissipation due to the superflow…

We present a review of our numerical studies on non equilibrium vortex dynamics in Josephson Junction arrays (JJA) driven by a dc current. Dynamical phase diagrams for different magnetic fields, current directions and varying temperature…

Superconductivity · Physics 2016-08-31 Veronica I. Marconi , Daniel Dominguez

In this work, a Josephson junction consisting of two superconducting layers sandwiching an insulating layer is explored, which is subject to the effects of thermal fluctuations. The precise expressions for the evolution of Josephson phase…

Superconductivity · Physics 2024-03-05 Shenglan Yuan

When a superconducting tunnel junction at a finite voltage is irradiated with microwaves, the interplay between the alternating Josephson current and the ac field gives rise to steps in the dc current known as Shapiro steps. In this work we…

Superconductivity · Physics 2009-11-13 J. C. Cuevas , H. Pothier

The dynamics of a one-dimensional, highly discrete, linear array of alternating $0-$ and $\pi-$ Josephson junctions is studied numerically, under constant bias current at zero magnetic field. The calculated current - voltage characteristics…

Superconductivity · Physics 2010-03-09 N. Lazarides

We have studied the switching behaviour of a small capacitance Josephson junction both in experiment, and by numerical simulation of a model circuit. The switching is a comples process involving the transition between two dynamical states…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Joachim Sjostrand , Jochen Walter , David Haviland , Hans Hansson , Anders Karlhede

We study numerically the motion of vortices in two-dimensional arrays of resistively shunted Josephson junctions. An extra vortex is created in the ground states by introducing novel boundary conditions and made mobile by applying external…

Statistical Mechanics · Physics 2009-11-11 Jong Soo Lim , M. Y. Choi , Beom Jun Kim , J. Choi

We report measurements of the dependence on magnetic field and array size of the resistive transition of Josephson junction arrays with long-range interaction. Because every wire in these arrays has a large number of nearest-neighbors (9 or…

Superconductivity · Physics 2009-10-30 H. R. Shea , M. Tinkham

We report the experimental observation of half-integer Shapiro steps in the strong ferromagnetic Josephson junction (Nb-NiFe-Nb) by investigating the current-phase relation under radiofrequency microwave excitation. The half-integer Shapiro…

We investigate the impact of quantum and thermal phase fluctuations on the suppression of superconducting order in two-dimensional systems. Within the two-dimensional quantum XY model in the phase representation, where on-site interaction…

Microwave response of S-shaped Bi$_2$Sr$_2$CaCu2O$_{8+x}$ (Bi-2212) micron-scale samples, in which the supercurrent was forced to flow perpendicular to the crystal layers, was investigated. A treatment with a focused ion beam allowed us to…

Superconductivity · Physics 2008-02-15 Myung-Ho Bae , R. C. Dinsmore , M. Sahu , Hu-Jong Lee , A. Bezryadin

We investigate theoretically the dynamics of a Josephson junction in the framework of the RSJ model. We consider a junction that hosts two supercurrrent contributions: a $2\pi$- and a $4\pi$-periodic in phase, with intensities $I_{2\pi}$…

A model system consisting of a mesoscopic superconducting grain coupled by Josephson junctions to two macroscopic superconducting electrodes is studied. We focus on the effects of ohmic dissipation caused by resistive shunts and…

Superconductivity · Physics 2009-11-10 Gil Refael , Eugene Demler , Yuval Oreg , Daniel S. Fisher