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When a vortex in a two-dimensional Josephson junction array is driven by a constant external current it may move as a particle in a viscous medium. Here we study the nature of this viscous motion. We model the junctions in a square array as…

Condensed Matter · Physics 2016-08-14 T. J. Hagenaars , P. H. E. Tiesinga , J. E. van Himbergen , Jorge V. José

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

Two-dimensional arrays of ballistic Josephson junctions are important as model systems for synthetic quantum materials. Here, we investigate arrays of multiterminal junctions which exhibit a phase difference $\varphi_0$ at zero current.…

Two-dimensional Josephson junction arrays frustrated by a perpendicular magnetic field are predicted to form a cascade of distinct vortex lattice states. Here, we show that the resistivity tensor provides both structural and dynamical…

Superconductivity · Physics 2024-01-11 Alexander-Georg Penner , Karsten Flensberg , Leonid I. Glazman , Felix von Oppen

Multi-layered Josephson junctions are modeled in the context of a field theory, and dynamics of Josephson vortices trapped inside insulators are studied. Starting from a theory consisting of complex and real scalar fields coupled to a U(1)…

Superconductivity · Physics 2016-10-05 Toshiaki Fujimori , Hideaki Iida , Muneto Nitta

We theoretically investigate the properties of ultra-cold dipolar atoms in radially coupled, concentric annular traps created by a potential barrier. The non-rotating ground-state phases are investigated across the superfluid-supersolid…

Quantum Gases · Physics 2025-06-30 Malte Schubert , Koushik Mukherjee , Tilman Pfau , Stephanie Reimann

Recent developments of the Josephson plasma resonance and transport c-axis measurements in layered high T$_{c}$ superconductors allow to probe Josephson coupling in a wide range of the vortex phase diagram. We derive a relation between the…

Superconductivity · Physics 2009-10-31 A. E. Koshelev , L. N. Bulaevskii , M. P. Maley

The dynamics of thermally excited vortices in a dilute two-dimensional Josephson junction array where a fraction of the superconducting islands is missing has been investigated using a multiple trapping model. An expression for the…

Statistical Mechanics · Physics 2007-05-23 Md. Ashrafuzzaman , Massimiliano Capezzali , Hans Beck

We have investigated the dynamics of vortices in a dilute two dimensional Josephson junction array where a fraction of the superconducting islands is missing. We have used the multiple trapping model to calculate the mobility of vortices…

Superconductivity · Physics 2007-05-23 Md. Ashrafuzzaman , Hans Beck

Josephson junctions are currently used as base elements of superconducting logic systems. Long enough junctions subject to magnetic field host quantum phase 2{\pi}-singularities - Josephson vortices. Here we report the realization of the…

The emergence of travelling sine-Gordon breathers due to the nonlinear supratransmission effect is theoretically studied in a long Josephson junction driven by suitable magnetic pulses, taking into account the presence of dissipation, a…

Mesoscale and Nanoscale Physics · Physics 2023-01-13 Duilio De Santis , Claudio Guarcello , Bernardo Spagnolo , Angelo Carollo , Davide Valenti

The Josephson-plasma and vortex modes in layered superconductors have been studied theoretically for low magnetic fields parallel and perpendicular to layers. The two modes belong to the same lowest-frequency branch of collective-mode…

Superconductivity · Physics 2009-10-31 E. B. Sonin

We report the experimental confirmation of the collective transverse plasma modes excited by the Josephson vortex lattice in stacks of intrinsic Josephson junctions in Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+x}$ single crystals. The excitation was…

Superconductivity · Physics 2009-11-11 Myung-Ho Bae , Jae-Hyun Choi , Hu-Jong Lee

We predict a new class of excitations propagating along a Josephson vortex in two-dimensional Josephson junctions. These excitations are associated with the distortion of a Josephson vortex line and have an analogy with shear waves in solid…

Superconductivity · Physics 2009-11-13 D. R. Gulevich , F. V. Kusmartsev , S. Savel'ev , V. A. Yampol'skii , F. Nori

The coupling of superconducting systems to mechanical resonators is an emerging field, with wide reaching implications including high precision sensing and metrology. Experimental signatures of this coupling have so far been small, seldom…

Superconductivity · Physics 2023-05-25 Jamie Le Signe , Thomas McDermott , Eros Mariani

A model of a superconducting tunnel junction coupled to a mechanical oscillator is studied at zero temperature in the case of linear coupling between the oscillator and tunneling electrons. It is found that the Josephson current flowing…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jian-Xin Zhu , Z. Nussinov , A. V. Balatsky

Long Josephson tunnel junction are non-linear transmission lines that allow propagation of current vortices (fluxons) and electromagnetic waves and are used in various applications within superconductive electronics. Recently, the Josephson…

Superconductivity · Physics 2016-09-13 Roberto Monaco

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

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

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