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The effects of random dilution of junctions on a two-dimensional Josephson-junction array in a magnetic field are considered. For rational values of the average flux quantum per plaquette $f$, the superconducting transition temperature…

Superconductivity · Physics 2009-10-31 M. Benakli , E. Granato , S. R. Shenoy , M. Gabay

We report the results of ac sheet conductance measurements performed on fully frustrated square arrays of Josephson junctions whose coupling energy is periodically modulated in one of the principal lattice directions. Such systems are…

Superconductivity · Physics 2009-11-07 J. Affolter , M. Tesei , H. Pastoriza , Ch. Leemann , P. Martinoli

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

Phase coherence and vortex order in a Josephson-junction array at irrational frustration are studied by extensive Monte Carlo simulations using the parallel tempering method. A scaling analysis of the correlation length of phase variables…

Superconductivity · Physics 2008-08-26 Enzo Granato

A quantum-mechanical model for the interaction of Josephson vortices (fluxons) embedded in superconducting transmission line is presented. The vortices interact through emission and absorption of linear waves (electromagnetic cavity modes).…

Superconductivity · Physics 2009-11-10 M. V. Fistul , A. V. Ustinov

The effects of dissipation on the thermodynamic properties of nonlinear quantum systems are approached by the path-integral method in order to construct approximate classical-like formulas for evaluating thermal averages of thermodynamic…

Statistical Mechanics · Physics 2016-11-23 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

Multi-terminal Josephson junctions were recently proposed as a versatile and tunable platform to emulate topological Bloch-like Hamiltonians in arbitrary dimensions. In this perspective article, we will give a brief overview of the subject…

Mesoscale and Nanoscale Physics · Physics 2023-03-31 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

The combination of an ordinary s-type superconductor with three-dimensional topological insulators creates a promising platform for fault-tolerant topological quantum computing circuits based on Majorana braiding. The backbone of the…

Mesoscale and Nanoscale Physics · Physics 2024-10-28 Gerrit Behner , Abdur Rehman Jalil , Alina Rupp , Hans Lüth , Detlev Grützmacher , Thomas Schäpers

We show analytically that the inverse kinetic inductance $L^{-1}$ of an overdamped junction array at low frequencies is proportional to the admittance of an inhomogeneous equivalent impedance network. The $ij^{th}$ bond in this equivalent…

Condensed Matter · Physics 2009-10-22 Wenbin Yu , D. Stroud

A one-dimensional quantum version of the frustrated XY (planar rotor) model is considered which can be physically realized as a ladder of Josephson-junctions at half a flux quantum per plaquette. This system undergoes a superconductor to…

Condensed Matter · Physics 2009-10-22 E. Granato

Josephson junctions manufactured to tight tolerances are necessary components for superconducting quantum computing. Developing precise manufacturing techniques for Josephson junctions requires an understanding of their make-up and robust…

Quantum Physics · Physics 2025-10-10 Oscar W. Kennedy , Kevin G. Crawford , Kowsar Shahbazi , Connor D. Shelly

We address the discretization of two-phase Darcy flows in a fractured and deformable porous medium, including frictional contact between the matrix-fracture interfaces. Fractures are described as a network of planar surfaces leading to the…

Numerical Analysis · Mathematics 2022-01-24 Francesco Bonaldi , Jérôme Droniou , Roland Masson , Antoine Pasteau

Heat transfer in fractured media is governed by the interplay between advective transport along rough-walled fractures and conductive transport, both within the fractures and in the surrounding low-permeability matrix. Flow localization…

Current-voltage curves of small area hysteretic intrinsic Josephson junctions, for which the Josephson energy $E_J=\hbar J_c/2e$ is of order of thermal energy $kT$, are investigated. A non-monotonic temperature dependence of the switching…

Superconductivity · Physics 2013-08-13 A. Franz , Y. Koval , D. Vasyukov , P. Muller , H. Schneidewind , D. A. Ryndyk , J. Keller , C. Helm

We study the resistive transition in Josephson-junction arrays at $f=1/2$ flux quantum per plaquette by dynamical simulations of the resistively-shunted-junction model. The current-voltage scaling and critical dynamics of the phases are…

Superconductivity · Physics 2009-11-10 Enzo Granato , Daniel Dominguez

We study persistent currents in a Josephson junction array wrapped around a cylinder. The $T=0$ quantum statistical mechanics of the array is equivalent to the statistical mechanics of a classical $xy$ spin system in 2+1 dimensions at the…

Superconductivity · Physics 2016-10-18 D. A. Garanin , E. M. Chudnovsky

We consider the structure of Josephson vortices approaching the junction boundary with vacuum in large area Josephson junctions with the Josephson length $\lambda_J$ large relative to the London penetration depth $\lambda_L$. Using the…

Superconductivity · Physics 2009-11-13 V. G. Kogan , V. V. Dobrovitski

Macroscopic quantum phase coherence has one of its pivotal expressions in the Josephson effect [1], which manifests itself both in charge [2] and energy transport [3-5]. The ability to master the amount of heat transferred through two…

Mesoscale and Nanoscale Physics · Physics 2016-03-10 Antonio Fornieri , Christophe Blanc , Riccardo Bosisio , Sophie D'Ambrosio , Francesco Giazotto

We study the Josephson effect through a one-dimensional system of interacting electrons, connected to two superconductors by tunnel junctions. The interactions are treated in the framework of the one-channel Luttinger model. At zero…

Condensed Matter · Physics 2009-10-22 Rosario Fazio , F. W. J. Hekking , A. A. Odintsov

In this work, we present two numerical methods to approximate solutions of systems of dissipative sine-Gordon equations that arise in the study of one-dimensional, semi-infinite arrays of Josephson junctions coupled through superconducting…

Numerical Analysis · Mathematics 2011-12-06 J. E. Macías-Díaz , S. Jerez-Galiano