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Monte Carlo simulations of the uniformly frustrated 3d XY model are used to model vortex line fluctuations in high temperature superconductors in an applied magnetic field. We find two distinct phase transitions. At a lower T_{c\perp}, the…

Condensed Matter · Physics 2009-10-22 Ying-Hong Li , S. Teitel

We study collective quantum phases and quantum phase transitions occurring in frustrated sawtooth arrays of small quantum Josephson junctions. Frustration is introduced through the periodic arrangement of $0$- and $\pi$- Josephson junctions…

Strongly Correlated Electrons · Physics 2024-12-03 M. V. Fistul , O. Neyenhuys , B. Pernack , I. M. Eremin , Sergej Flach , Alexei Andreanov

We examine the dynamical consequences of Berry's phase for Josephson junctions, junction arrays, and their vortices. Josephson's equation and the related phase slip voltages are shown to be uneffected by Berry's phase. In an annular…

Condensed Matter · Physics 2007-05-23 Frank Gaitan , Subodh R. Shenoy

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

We investigate numerically the critical current of two-dimensional fully frustrated arrays of resistively shunted Josephson junctions at zero temperature. It is shown that a domino-type mechanism is responsible for the existence of a…

Superconductivity · Physics 2007-05-23 Beom Jun Kim , Petter Minnhagen

We investigate dynamic scaling properties of the two-dimensional gauge glass model for the vortex glass phase in superconductors with quenched disorder. From extensive Monte Carlo simulations we obtain static and dynamic finite size scaling…

Disordered Systems and Neural Networks · Physics 2007-05-23 Marios Nikolaou , Mats Wallin

In this note I survey the extensive literature on the dynamics of large series arrays of identical current biased Josephson junctions coupled through various shared loads. The equations describing the dynamics are invariant under…

Dynamical Systems · Mathematics 2017-07-04 D. G. Aronson

We report measurements of the dependence on magnetic field and array size of the resistive transition of Josephson junction arrays with long-range interaction. Because every wire in these arrays has a large number of nearest-neighbors (9 or…

Superconductivity · Physics 2009-10-30 H. R. Shea , M. Tinkham

Two types of commensurability effects are possible in a large Josephson junction patterned with columnar defects. The first occurs for a periodic array of pins when the mean fluxon spacing (tuned by the magnitude of the applied in--plane…

Condensed Matter · Physics 2009-10-22 Leon Balents , Steven H. Simon

It has been argued by Zurek and Kibble that the likelihood of producing defects in a continuous phase transition depends in a characteristic way on the quench rate. In this paper we discuss an improved experiment for measuring the…

Superconductivity · Physics 2012-03-29 R. Monaco , M. Aaroe , J. Myging , R. J. Rivers , V. P. Koshelets

We report on the observation of spontaneous coherent oscillations in a microcavity polariton bosonic Josephson junction. The condensation of exciton polaritons takes place under incoherent excitation in a disordered environment, where…

Quantum Gases · Physics 2010-09-23 K. G. Lagoudakis , B. Pietka , M. Wouters , R. André , B. Deveaud-Plédran

Vortex critical dynamics of the two dimensional XY spin glass is studied by Monte Carlo methods in the Coulomb-gas representation. A scaling analysis of the nonlinear response is used to calculate the correlation length exponent $\nu $ of…

Statistical Mechanics · Physics 2009-10-31 Enzo Granato

We theoretically investigate heat transport in temperature-biased Josephson tunnel junctions in the presence of an in-plane magnetic field. In full analogy with the Josephson critical current, the phase-dependent component of the heat flux…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 F. Giazotto , M. J. Martinez-Perez , P. Solinas

We explore vortex dynamics in a two-dimensional Josephson junction array of micron-size superconducting islands fabricated from an epitaxial Al/InAs superconductor-semiconductor heterostructure, with a global top gate controlling Josephson…

Superconductivity · Physics 2025-10-22 C. G. L. Bøttcher , F. Nichele , J. Shabani , C. J. Palmstrøm , C. M. Marcus

Zero-bias resistances of a single resistance-shunted Josephson junction are calculated as a function of the temperature by means of the path-integral Monte Carlo method in case a charging energy $E_{\rm C}$ is comparable with a Josephson…

Superconductivity · Physics 2009-11-10 Naoki Kimura , Takeo Kato

The quantum XY model shows a Berezinskii-Kosterlitz-Thouless (BKT) transition between a phase with quasi long-range order and a disordered one, like the corresponding classical model. The effect of the quantum fluctuations is to weaken the…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Luca Capriotti , Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

We study the zero-temperature phase diagram of a dissipationless and disorder-free Josephson junction chain. Namely, we determine the critical Josephson energy below which the chain becomes insulating, as a function of the ratio of two…

Mesoscale and Nanoscale Physics · Physics 2020-01-30 D. M. Basko , F. Pfeiffer , P. Adamus , M. Holzmann , F. W. J. Hekking

At zero temperature, the 3-state antiferromagnetic Potts model on a square lattice maps exactly onto a point of the 6-vertex model whose long-distance behavior is equivalent to that of a free scalar boson. We point out that at nonzero…

Statistical Mechanics · Physics 2021-01-01 John Cardy , Jesper Lykke Jacobsen , Alan D. Sokal

The fully frustrated XY model with Villain interaction on a square lattice is studied by means of Monte Carlo simulations. On the basis of the universal jump condition it is argued that there are two distinct transitions in the model,…

Condensed Matter · Physics 2016-08-31 Peter Olsson

We have investigated the dynamics of vortices in a dilute two dimensional Josephson junction array where a fraction of the superconducting islands is missing. We have used the multiple trapping model to calculate the mobility of vortices…

Superconductivity · Physics 2007-05-23 Md. Ashrafuzzaman , Hans Beck
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