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We explore the effect of noise on the ballistic graphene-based small Josephson junctions in the framework of the resistively and capacitively shunted model. We use the non-sinusoidal current-phase relation specific for graphene layers…

Mesoscale and Nanoscale Physics · Physics 2017-02-07 Claudio Guarcello , Davide Valenti , Bernardo Spagnolo , Vincenzo Pierro , Giovanni Filatrella

We investigate the stability of a rectangular Josephson vortex lattice in a stack of two long Josephson junctions. It is shown that in an infinite stack at low velocities the lattice is unstable with respect to triangular vortex lattice…

Superconductivity · Physics 2007-05-23 A. V. Chiguinev , V. V. Kurin

We study vortex structure in three different models of long Josephson junctions: exponentially shaped Josephson junction and Josephson junctions with resistor and shunt inhomogeneities in barrier layer. Numerical calculations of the…

Superconductivity · Physics 2009-11-11 T. L. Boyadjiev , E. G. Semerdjieva , Yu. M. Shukrinov

We analyze the magnetic and transport properties of a double quantum dot coupled to superconducting leads. In addition to the possible phase transition to a $\pi$ state, already present in the single dot case, this system exhibits a richer…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. S. Bergeret , A. Levy Yeyati , A. Martin-Rodero

The transition from the model of a long Josephson junction of variable width to the model of a junction with a coordinate-dependent Josephson current amplitude is effected through a coordinate transformation. This establishes the…

Superconductivity · Physics 2007-05-23 E. G. Semerdzhieva , T. L. Boyadjiev , Yu. M. Shukrinov

We measured the magnetic field dependence of the critical current of high quality Nb-based planar Josephson tunnel junctions in the presence of a controllable non-uniform field distribution. We found skewed and slowly changing magnetic…

Superconductivity · Physics 2015-03-17 Roberto Monaco , Jesper Mygind , Valery Koshelets

We elaborate a theoretical description of large Josephson junctions which is based on the Werthamer's microscopic tunneling theory. The model naturally incorporates coupling of electromagnetic radiation to the tunnel currents and,…

Superconductivity · Physics 2017-07-25 D. R. Gulevich , V. P. Koshelets , F. V. Kusmartsev

We study analytically and numerically the influence of the quasiparticle charge imbalance on the dynamics of the asymmetric Josephson stack formed by two inequivalent junctions: the fast capacitive junction $JJ_{1}$ and slow non-capacitive…

Superconductivity · Physics 2019-09-04 S. V. Bakurskiy , A. A. Neilo , N. V. Klenov , I. I. Soloviev , M. Yu. Kupriyanov

The nonlinear response of a short Josephson Junction (JJ), being irradiated simultaneously with two high-frequency signals, has been studied in the framework of the nonlinear Resistively-Shunted Junction (RSJ) Model. One of the signals,…

Superconductivity · Physics 2018-07-04 Anton V. Velichko , Adrian Porch

Numerical modeling of dependences ``critical current -- external magnetic field'' for geometrically symmetric $0-\pi$ Josephson junctions is performed. The calculation of critical current is reduced to non-linear eigenvalue problem. The…

Superconductivity · Physics 2007-05-23 J. A. Angelova , T. L. Boyadjiev

We study the Josephson current through a ballistic normal metal layer of thickness $D$ on which two superconducting electrodes are deposited within a distance $L$ of each other. In the presence of an ({\it in-layer}) magnetic field we find…

Superconductivity · Physics 2009-11-13 G. Mohammadkhani , M. Zareyan , Ya. M. Blanter

The phase dynamics of the stack of long Josephson junctions has been studied. Both inductive and capacitive couplings between Josephson junctions have been taken into account in the calculations. The IV--curve, bias current dependence of…

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

We numerically investigate the behavior of a Josephson traveling wave parametric amplifier assuming a current-phase relation with a second--harmonic contribution. We find that varying the weight of harmonic terms in the Josephson current…

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

Gauge-invariant phase difference and critical currents of cross-type Josephson junctions with thin and narrow superconducting strips exposed to three-dimensional magnetic fields are theoretically investigated. When a sandwich-type Josephson…

Superconductivity · Physics 2022-03-29 Yasunori Mawatari

The theory of the effect of external fluctuation force on the stability and spatial distribution of mutually interacting and slowly evaporating charged drops, levitated in an electrodynamic balance, is presented using classical…

Fluid Dynamics · Physics 2020-07-07 Mohit Singh , Y. S. Mayya , Rochish Thaokar

We experimentally studied the effect of positional disorder on a Josephson junction array with $f = n$, ${1/2} + n$, or ${2/5} + n$ flux quanta per unit cell for integral $n$. This system provides an experimental realization of a…

Superconductivity · Physics 2007-05-23 Young-Je Yun , In-Cheol Baek , Mu-Yong Choi

The theoretical study of the self-organization of two-dimensional and geophysical turbulent flows is addressed based on statistical mechanics methods. This review is a self-contained presentation of classical and recent works on this…

Fluid Dynamics · Physics 2011-10-31 Freddy Bouchet , Antoine Venaille

We analyze a new long wave model describing the electrodynamics of an array of point Josephson junctions in a superconducting cavity. It consists in a wave equation with Dirac delta function sine nonlinearities. We introduce an adapted…

Superconductivity · Physics 2010-04-06 J. -G. Caputo , L. Loukitch