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Josephson junction arrays are ideal model systems where a variety of phenomena, phase transitions, frustration effects, vortex dynamics, chaos, to mention a few of them, can be studied in a controlled way. In this review we focus on the…

Condensed Matter · Physics 2009-10-31 Rosario Fazio , Herre van der Zant

We consider a fractional Josephson vortex in an infinitely long 0-kappa Josephson junction. A uniform bias current applied to the junction exerts a Lorentz force acting on a vortex. When the bias current becomes equal to the critical (or…

Superconductivity · Physics 2009-11-02 K. Vogel , T. Kato , W. P. Schleich , D. Koelle , R. Kleiner , E. Goldobin

A system of two parallel Josephson junction arrays coupled by interlayer capacitances is considered in the situation where one layer is in the vortex-dominated and the other in the charge-dominated regime. This system shows a symmetry…

Condensed Matter · Physics 2009-10-28 Yaroslav M. Blanter , Gerd Schoen

Using a Keldysh formalism, we study supercurrent (SC) transport in several types of diffusive ferromagnet(F)/superconductor(S) configurations. We separate out the even- and odd-frequency components and identify the relative contributions…

Mesoscale and Nanoscale Physics · Physics 2015-04-16 Mohammad Alidoust , Klaus Halterman

Abrikosov vortex contains magnetic field and circulating currents that decay at a short range $\lambda \sim 100$ nm. However, the vortex can induce a long range Josephson phase shift at distances $r\sim\mu$m$\gg\lambda$. The mechanism of…

Superconductivity · Physics 2019-11-20 T. Golod , A. Pagliero , V. M. Krasnov

Collective excitations reveal fundamental properties and potential applications of superconducting states. We theoretically study macroscopic quantum tunneling (MQT) in a Josephson junction composed of multi-band superconductors, focusing…

Superconductivity · Physics 2014-07-14 Hidehiro Asai , Yukihiro Ota , Shiro Kawabata , Masahiko Machida , Franco Nori

We study disordered Josephson junctions arrays with long-range interaction and charging effects. The model consists of two orthogonal sets of positionally disordered $N$ parallel filaments (or wires) Josephson coupled at each crossing and…

Condensed Matter · Physics 2016-08-15 T. K. Kopeć , J. V. José

We demonstrate mutual synchronization of Josephson oscillations in multiple stacks of intrinsic Josephson junctions of the cuprate superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta }$. Detailed analysis of the full polarization parameters…

Superconductivity · Physics 2026-04-08 M. Tsujimoto , S. Fujita , G. Kuwano , K. Maeda , A. Elarabi , J. Hawecker , J. Tignon , J. Mangeney , S. S. Dhillon , I. Kakeya

Using the functional integral method, we construct a theory of heterotic SIS Josephson junctions between single- and two-gap superconductors. The theory predicts the presence of in-phase and out-of-phase collective oscillation modes of…

Superconductivity · Physics 2009-06-14 Yukihiro Ota , Masahiko Machida , Tomio Koyama , Hideki Matsumoto

A microwave cavity perturbation technique is used to probe the interlayer electrodynamics within the vortex state of the organic superconductor kappa-(BEDT-TTF)2Cu(NCS)2. A Josephson plasma mode is observed which is extremely sensitive to…

Superconductivity · Physics 2007-05-23 S. Hill , M. M. Mola , J. S. Qualls

When a Josephson junction is exposed to microwave radiation, it undergoes the inverse AC Josephson effect - the phase of the junction locks to the drive frequency. As a result, the I-V curves of the junction acquire "Shapiro steps" of…

In very anisotropic layered superconductors a tilted magnetic field generates crossing vortex lattices of pancake and Josephson vortices (JVs). We study the properties of an isolated JV in the lattice of pancake vortices. JV induces…

Condensed Matter · Physics 2009-11-10 Alexei E. Koshelev

We studied response of the Josephson vortex lattice in layered superconductors to the high-frequency c-axis electric field. We found a simple relation connecting the dynamic dielectric constant with the perturbation of the superconducting…

Superconductivity · Physics 2011-11-09 A. E. Koshelev

We study localization effects in Josephson junctions with two superconductors connected by a strongly disordered metallic wire of length $L$. The conventional description of the Josephson effect in such systems, based on the quasiclassical…

Mesoscale and Nanoscale Physics · Physics 2025-03-21 Mustafa E. Ismagambetov , Aleksey V. Lunkin , Pavel M. Ostrovsky

We report numerical simulations of the nonlinear dynamics of Josephson vortices driven by strong dc currents in layered superconductors. Dynamic equations for interlayer phase differences in a stack of coupled superconducting layers were…

Superconductivity · Physics 2019-07-24 Ahmad Sheikhzada , Alex Gurevich

We study theoretically a variety of collective quantum phases occurring in frustrated saw-tooth chains of Josephson junctions embedded in a dissipationless transmission line. The basic element of a system, i.e., the triangular…

Quantum Physics · Physics 2024-11-06 Benedikt J. P. Pernack , Mikhail V. Fistul , Ilya M. Eremin

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

In the frame of an exactly solvable model we calculate electric and magnetic fields created by uniformly moving lattice of Josephson vortices driven by the transport current in the magnetic field parallel to conducting layers. The…

Superconductivity · Physics 2007-05-23 S. N. Artemenko , S. V. Remizov

We study the dynamic response to external currents of periodic arrays of Josephson junctions, in a resistively capacitively shunted junction (RCSJ) model, including full capacitance-matrix effects}. We define and study three different…

Superconductivity · Physics 2016-08-15 Frank Gibbons , A. Góngora-T , Jorge V. José

Josephson plasma resonance has been introduced recently as a powerful tool to probe interlayer Josephson coupling in different regions of the vortex phase diagram in layered superconductors. In the liquid phase, the high temperature…

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