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We study the statistical mechanics of a $D$-dimensional array of Josephson junctions in presence of a magnetic field on a lattice of side $2$. In the high temperature region the thermodynamical properties can be computed in the limit $D \to…

Condensed Matter · Physics 2016-08-31 Enzo Marinari , Giorgio Parisi , Felix Ritort

We consider the dynamics of a two-dimensional array of underdamped Josephson junctions placed in a single-mode resonant cavity. Starting from a well-defined model Hamiltonian, which includes the effects of driving current and dissipative…

Superconductivity · Physics 2009-11-07 E. Almaas , D. Stroud

Recent experimental advances have unveiled promising evidence of vortex-bound Majorana quasiparticles in multiple superconducting compounds. However, theoretical progress in understanding these phenomena, especially from ab initio…

Superconductivity · Physics 2025-04-10 Zhuo Chen , Jiangxu Li , Lun-Hui Hu , Zhen Bi , Rui-Xing Zhang

The first evidence of the dc Josephson effect dates back to 1963 when J. S. Rowell measured the diffraction pattern of the critical current flowing through a single superconducting tunnel junction subjected to an in-plane magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2014-04-04 M. J. Martínez-Pérez , F. Giazotto

We have studied the phase diagram of two capacitively coupled Josephson junction arrays with charging energy, $E_c$, and Josephson coupling energy, $E_J$. Our results are obtained using a path integral Quantum Monte Carlo algorithm. The…

Statistical Mechanics · Physics 2009-11-10 Guillermo Ramirez-Santiago , Jorge V. Jose

We consider the problem of two capacitively coupled Josephson junction arrays made of ultrasmall junctions. Each one of the arrays can be in the semiclassical or quantum regimes, depending on their physical parameter values. The former case…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jorge V. José

Inspired by a recent experiment, we study the influence of thermal fluctuations on the $I$-$V$ characteristics of a Josephson junction, coupled to a strongly resistive environment. We obtain analytical results in the limit where the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. S. Beloborodov , F. W. J. Hekking , F. Pistolesi

We used one-dimensional coupled sine-Gordon equations combined with heat diffusion equations to numerically investigate the thermal and electromagnetic properties of a $300\,\mu\mathrm{m}$ long intrinsic Josephson junction stack consisting…

Numerical investigation of the effects of junction geometry on the performance of the flux-flow type Josephson oscillator has been done. Using direct simulation of the sine-Gordon equation with account of RC load the spectral and power…

Superconductivity · Physics 2011-09-15 Leonid S. Revin , Andrey L. Pankratov

We used 2D coupled sine-Gordon equations combined with 3D heat diffusion equations to numerically investigate the thermal and electromagnetic properties of a $250 \times 70\,\mu\mathrm{m}^2$ intrinsic Josephson junction stack. The 700…

To study the properties of frustrated two-dimensional Josephson junction arrays near incommensurability, we examine the current-voltage characteristics of a square proximity-coupled Josephson junction array at a sequence of frustrations…

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

We study the propagation properties of a single vortex in square Josephson-junction arrays (JJA) with free boundaries and subject to an applied dc current. We model the dynamics of the JJA by the resistively and capacitively shunted…

Condensed Matter · Physics 2009-10-28 T. J. Hagenaars , J. E. van Himbergen , Jorge V. Jose , P. H. E. Tiesinga

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing,…

Fluxon transmission through impurities of different shape in a quasi-one-dimensional long Josephson junction is investigated. The junction width is significantly less than its length but, at the same time, is of the order of the Josephson…

Pattern Formation and Solitons · Physics 2015-06-05 Ivan O. Starodub , Yaroslav Zolotaryuk

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

We study theoretically the Josephson effect in junctions based on unconventional superconductors with diffusive barriers, using the quasiclassical Green's function formalism. Generalized boundary conditions at junction interfaces applicable…

Superconductivity · Physics 2009-11-11 T. Yokoyama , Y. Tanaka , A. A. Golubov

The flux-flow dynamics in a long Josephson junction is studied both analytically and numerically. A realistic model of the junction is considered by taking into account a nonuniform current distribution, surface losses and self-pumping…

Superconductivity · Physics 2013-05-29 Marek Jaworski

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 predict the thermal counterpart of the anomalous Josephson effect in superconductor/ferromagnet/superconductor junctions with non-coplanar magnetic texture. The heat current through the junction is shown to have the phase-sensitive…

Superconductivity · Physics 2017-08-22 M. A. Silaev

We discuss the known construction of two interacting superconducting circuits, based on Josephson junctions, that can be precisely engineered and easily controlled. In particular, we use the parametric excitation of two circuits, realized…

Quantum Physics · Physics 2016-05-26 Evgenii Glushkov , Anastasiia Glushkova , V. I. Man'ko