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Josephson junctions based on grain boundaries, such as those made of Yttrium Barium Copper Oxide (YBCO), exhibit inherent parameter spreads in their critical current and normal state resistance. This variation in junction properties leads…

Superconductivity · Physics 2025-08-12 O. A. Nieves , M. A. Galí Labarias , A. C. Keser , K. -H Müller , E. E. Mitchell

We investigate theoretically transport properties of one- and two-dimensional regular Josephson junction arrays (JJAs) in an insulating state. We derive the low-temperature current-voltage characteristics for the current mediated by the…

Superconductivity · Physics 2008-06-27 M. V. Fistul , V. M. Vinokur , T. I. Baturina

We study heat transport and thermoelectric effects in two-dimensional superconductors in a magnetic field. These are modeled as granular Josephson-junction arrays, forming either regular or random lattices. We employ two different models…

Superconductivity · Physics 2011-05-05 Andreas Andersson , Jack Lidmar

Despite the fact that Josephson Junction Arrays (JAA) have been actively studied for decades, they continue to contribute to the variety of intriguing and peculiar phenomena (both fundamental and important for potential applications)…

Superconductivity · Physics 2007-05-23 Sergei Sergeenkov

The effects of finite size and of finite current on the current-voltage characteristics of Josephson junction arrays is studied both theoretically and by numerical simulations. The cross-over from non-linear to linear behavior at low…

Superconductivity · Physics 2009-10-28 M. V. Simkin , J. M. Kosterlitz

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 report low temperature, microwave transmission measurements on a new switchable and tunable class of nonlinear metamaterials. A wireless two dimensional array of Josephson junctions (JJ) is probed as a metamaterial where each plaquette…

Superconductivity · Physics 2015-01-26 L. L. A. Adams

By introducing a concept of thermal expansion (TE) of a Josephson junction as an elastic response to an effective stress field, we study (both analytically and numerically) the temperature and magnetic field dependence of TE coefficient…

Superconductivity · Physics 2007-05-23 S. Sergeenkov , G. Rotoli , G. Filatrella , F. M. Araujo-Moreira

The effect of thermal fluctuations in Josephson junctions is usually analysed using the Ambegaokar-Halperin (AH) theory in the context of thermal activation. "Enhanced" fluctuations, demonstrated by broadening of current-voltage…

Superconductivity · Physics 2014-10-15 Jian Wei , P. Cadden-Zimansky , P. Virtanen , V. Chandrasekhar

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 present numerical simulations of the dynamics of two-dimensional Josephson junction arrays to study the mechanism of mutual phase locking. We show that in the presence of an external magnetic field two mechanisms are playing a role in…

Condensed Matter · Physics 2009-10-28 W. Krech , K. Yu. Platov

We present an experimental and analytical study of resonances in the current-voltage characteristics of single and double row triangular Josephson arrays. The magnetic field dependences of the voltage positions of the resonances have been…

Superconductivity · Physics 2009-10-31 P. Caputo , M. V. Fistul , A. V. Ustinov

We analyze the consequences resulting from the asymmetric boundary conditions imposed by a non-uniform external magnetic field at the extremities of a planar Josephson tunnel junction and predict a number of testable signatures. When the…

Superconductivity · Physics 2011-01-11 R. Monaco

A microscopic theory of the magnetic-field modulation of critical currents is developed for plane Josephson junctions with anharmonic current-phase relations. The results obtained allow examining temperature-dependent deviations of the…

Superconductivity · Physics 2015-05-18 Yu. S. Barash

The paramagnetic Meissner effect (PME) measured in high $T_{C}$ granular superconductors has been attributed to the presence of $\pi$-junctions between the grains. Here we present measurements of complex AC magnetic susceptibility from…

Superconductivity · Physics 2009-10-31 P. Barbara , F. M. Araujo-Moreira , A. B. Cawthorne , C. J. Lobb

Superconductivity, characterized by dissipationless current flow with flux expulsion or quantization, is usually muted when the magnetic field or the temperature is sufficiently high. However, in rare instances, superconductivity can…

Superconductivity · Physics 2025-09-03 S. Avraham , S. Sankar , S. Sandik , A. Burshtein , M. Goldstein , E. Sela , Y. Dagan

Semiconductor-based Josephson junctions provide a platform for studying proximity effect due to the possibility of tuning junction properties by gate voltage and large-scale fabrication of complex Josephson circuits. Recently Josephson…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 William Mayer , Joseph Yuan , Kaushini Wickramasinghe , Tri Nguyen , Matthieu C. Dartiailh , Javad Shabani

A model for describing interference and diffraction of wave functions of one-dimensional Josephson array interferometers is presented. The derived expression for critical current modulations accounts for an arbitrary number of square…

Superconductivity · Physics 2020-05-14 M. Lucci , V. Merlo , I. Ottaviani , M. Cirillo , D. Badoni , V. Campanari , G. Salina , J. G. Caputo , L. Loukitch

The phase diagram of a two-dimensional Josephson array of mesoscopic objects is examined. Quantum fluctuations in both the modulus and phase of the superconducting order parameter are taken into account within a lattice boson Hubbard model.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. I. Belousov , S. A. Verzakov , Yu. E. Lozovik

In this Chapter, we present our latest experimental results (along with their theoretical interpretation) related to some unusual magnetic properties of artificially prepared ordered two-dimensional Josephson junction arrays (of both…

Superconductivity · Physics 2008-02-12 F. M. Araujo-Moreira , S. Sergeenkov