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The dynamical vortex response of a two-dimensional array of the resistively shunted Josephson junctions in a perpendicular magnetic field is inferred from simulations. It is found that, as the magnetic field is increased at a fixed…

Superconductivity · Physics 2007-05-23 Beom Jun Kim , Petter Minnhagen

The sin-Gordon equation for Josephson junctions with arbitrary misaligned anisotropic banks is derived. As an application, the problem of Josephson vortices at twin planes of a YBCO-like material is considered. It is shown that for an…

Superconductivity · Physics 2009-10-31 Roman G. Mints , Vladimir G. Kogan

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

The development of superconducting memory and logic based on magnetic Josephson junctions relies on an understanding of junction properties and, in particular, the dependence of critical current on external magnetic flux (i.e. Fraunhofer…

Superconductivity · Physics 2019-03-19 Bence Börcsök , Sachio Komori , Alexander Buzdin , Jason Robinson

A report of numerical experiment results on long Josephson junction with one and two rectangular inhomogeneities in the barrier layer is presented. In case of one inhomogeneity we demonstrate the existence of the asymmetric fluxon states.…

Superconductivity · Physics 2009-11-11 O. Yu. Andreeva , T. L. Boyadjiev , Yu. M. Shukrinov

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

The phase dynamics of a long Josephson junction with spatially inhomogeneously distributed bias current is considered for the case of a dense soliton chain (regime of the Flux Flow oscillator). To derive the analytical solution of the…

Superconductivity · Physics 2009-11-07 Andrey L. Pankratov

The physics of Josephson tunnel junctions drastically depends on their geometrical configurations. The shape of the junction determines the specific form of the magnetic-field dependence of the its Josephson current. Here we address the…

Superconductivity · Physics 2016-06-09 Roberto Monaco

We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts. Under appropriate conditions, Josephson junctions with phase-shifts can have a…

Pattern Formation and Solitons · Physics 2015-03-17 Amir Ali , Hadi Susanto , Jonathan Wattis

We have investigated the static properties of one-dimensional planar Josephson tunnel junctions in the most general case of elliptic annuli. We have analyzed the dependence of the critical current in the presence of an external magnetic…

Superconductivity · Physics 2015-11-05 Roberto Monaco , Carmine Granata , Antonio Vettoliere , Jesper Mygind

The purpose of this work is to compare the dynamics of arrays of Josephson junctions in presence of magnetic field in two different frameworks: the so called XY frustrated model with no self inductance and an approach that takes into…

supr-con · Physics 2009-10-28 A. Petraglia , G. Filatrella , G. Rotoli

We investigate the direction-dependent switching current in a flux-tunable four-terminal Josephson junction defined in an InAs/Al two-dimensional heterostructure. The device exhibits the Josephson diode effect, with switching currents that…

The properties of Josephson devices are strongly affected by geometrical effects such as those associated with the magnetic field induced by the bias current. The generally adopted analysis of Owen and Scalapino [{\it Phys. Rev.}{\bf 164},…

Superconductivity · Physics 2013-04-18 Roberto Monaco , Valery P. Koshelets , Anna Mukhortova , Jesper Mygin

We present all the possible solutions of a Josephson junction with bias current and magnetic field with both inline and overlap geometry, and examine their stability. We follow the bifurcation of new solutions as we increase the junction…

Superconductivity · Physics 2009-10-31 J. -G. Caputo , N. Flytzanis , Y. Gaididei , N. Stefanakis , E. Vavalis

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

The magnetic interference pattern and the spontaneous flux in unconventional Josephson junctions of superconductors with d+is symmetry are calculated for different reduced junction lengths and the relative factor of the d and s wave…

Superconductivity · Physics 2009-10-31 N. Stefanakis , N. Flytzanis

We study long Josephson junctions with the critical current density alternating along the junction. New equilibrium states, which we call the field synchronized or FS states, are shown to exist if the applied field is from narrow intervals…

Superconductivity · Physics 2009-11-13 M. Moshe , R. G. Mints

We model the static behavior of point Josephson junctions in a micro strip line using a 1D linear differential equation with delta distributed sine non-linearities. We analyze the maximum current $\gamma_{max}$ crossing the micro strip for…

Mathematical Physics · Physics 2007-05-23 J. G Caputo , L. Loukitch

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

The current-phase relation (CPR) for a short Josephson junction placed in the nonuniform field of a small ferromagnetic particle is studied. The effect of the particle produced on the junction appears to be strong due to the formation of…

Superconductivity · Physics 2015-05-14 A. V. Samokhvalov