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We show numerically that, in a Josephson ladder with periodic boundary conditions and subject to a suitable transverse magnetic field, a vortex excitation can spontaneously break up into two or more fractional excitations. If the ladder has…

Superconductivity · Physics 2009-11-11 Ivan Tornes , David Stroud

We study theoretically the dynamics of a fluxon Lattice (FL) in two coupled Josephson junctions. We show that when the velocity of the moving FL exceeds certain values $(V_{a,b})$, sharp resonances arise in the system which are related to…

Superconductivity · Physics 2009-10-31 A. F. Volkov , V. A. Glen

We calculate the flux-flow resistivity of the Josephson vortex lattice in a layered superconductor taking into account both the inter-plane and in-plane dissipation channels. We consider the limiting cases of small fields (isolated…

Superconductivity · Physics 2009-10-31 A. E. Koshelev

Josephson plasma excitations in the high $T_c$ superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ have been investigated in a wide microwave frequency region (9.8 -- 75 GHz), in particular, in magnetic field applied parallel to the $ab$…

Superconductivity · Physics 2007-05-23 I. Kakeya , T. Wada , R. Nakamura , K. Kadowaki

We investigate analytically and numerically the stability of bubble-like fluxons in disk-shaped heterogeneous Josephson junctions. Using ring solitons as a model of bubble fluxons in the two-dimensional sine-Gordon equation, we show that…

Pattern Formation and Solitons · Physics 2020-06-18 Alicia G. Castro-Montes , Mónica A. García-Ñustes , Jorge A. González , Juan F. Marín , Diego Teca-Wellmann

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

Bi2Sr2CaCu2O8+x single crystals represent natural stacks of atomic scale intrinsic Josephson junctions, formed between metallic CuO2-Ca-CuO2 and ionic insulating SrO-2BiO-SrO layers. Electrostriction effect in the insulating layers leads to…

Superconductivity · Physics 2013-04-03 Holger Motzkau , Sven-Olof Katterwe , Andreas Rydh , Vladimir M. Krasnov

We study static and dynamical properties of fluxons in a long annular Josephson junction (JJ) with a current injected at one point and collected back at a close point. Uniformly distributed dc bias current is applied too. We demonstrate…

Superconductivity · Physics 2009-11-10 Boris Malomed , Alexey Ustinov

We consider a Josephson junction system installed with a finite length inhomogeneity, either of microresistor or of microresonator type. The system can be modelled by a sine-Gordon equation with a piecewise-constant function to represent…

Pattern Formation and Solitons · Physics 2011-02-17 Gianne Derks , Arjen Doelman , Christopher J. K. Knight , Hadi Susanto

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

We study the quantum phase transitions in two-dimensional arrays of Josephson-couples junctions with short range Josephson couplings (given by the Josephson energy) and the charging energy. We map the problem onto the solvable quantum…

Superconductivity · Physics 2009-11-11 T. P. Polak , T. K. Kopec

A micron sized single crystal of the superconductor BSCCO was studied using silicon mechanical micro-oscillators at various tilt angles of the dc magnetic field with respect to the c axis of the sample. Different phases of the vortex matter…

Superconductivity · Physics 2009-11-13 M. I. Dolz , H. Pastoriza

We consider dynamics of Josephson vortex lattice in layered superconductors with magnetic, charge (electrostatic) and charge-imbalance (quasiparticle) interactions between interlayer Josephson junctions taken into account. The macroscopic…

Superconductivity · Physics 2009-11-07 D. A. Ryndyk , V. I. Pozdnjakova , I. A. Shereshevskii , N. K. Vdovicheva

We have elucidated the dynamic phase transition features and finite-size scaling analysis of the triangular lattice system under the presence of a square-wave magnetic field. It has been found that as the value of half-period of the…

Statistical Mechanics · Physics 2017-06-13 Erol Vatansever

Two types of commensurability effects are possible in a large Josephson junction patterned with columnar defects. The first occurs for a periodic array of pins when the mean fluxon spacing (tuned by the magnitude of the applied in--plane…

Condensed Matter · Physics 2009-10-22 Leon Balents , Steven H. Simon

We investigate the dynamics of the Josephson vortex lattice in layered high-T$_{c}$ superconductors at high magnetic fields. Starting from coupled equations for superconducting phases and magnetic field we derive equations for the relative…

Superconductivity · Physics 2009-11-07 A. E. Koshelev , I. Aranson

$ $The critical current of a Josephson junction is an oscillatory function of the enclosed magnetic flux $\Phi$, because of quantum interference modulated with periodicity $h/2e$. We calculate these Fraunhofer oscillations in a…

Superconductivity · Physics 2016-09-21 V. P. Ostroukh , B. Baxevanis , A. R. Akhmerov , C. W. J. Beenakker

A square array of Josephson junctions with modulated strength in a magnetic field with half a flux quantum per plaquette is studied by analytic arguments and dynamical simulations. The modulation is such that alternate columns of junctions…

Superconductivity · Physics 2009-10-30 E. Granato , J. M. Kosterlitz , M. V. Simkin

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

Vortex matter phases and phase transitions are investigated by means of Josephson plasma resonance in under-doped Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ single crystals in a microwave frequency range between 19 and 70 GHz. Accompanied by the…

Superconductivity · Physics 2009-10-31 I. Kakeya , R. Nakamura , T. Wada , K. Kadowaki