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We numerically investigate the intriguing effects produced by random percolative disorder in two-dimensional Josephson-junction arrays. By dynamic scaling analysis, we evaluate critical temperatures and critical exponents with high…

Superconductivity · Physics 2009-03-17 Jian-Ping Lv , Huan Liu , Qing-Hu Chen

The scaling behavior of the current-voltage ($IV$) characteristics of a two-dimensional proximity-coupled Josephson junction array (JJA) with quenched bond disorder was investigated for frustrations $f=1/5$, 1/3, 2/5, and 1/2. For all these…

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

A square array of Josephson junctions with modulated strength in a magnetic field with half a flux quantum per plaquette is studied by analytic arguments and dynamical simulations. The modulation is such that alternate columns of junctions…

Superconductivity · Physics 2009-10-30 E. Granato , J. M. Kosterlitz , M. V. Simkin

We consider a two-dimensional fully frustrated Josephson-junction array, which is driven uniformly by oscillating currents. As the temperature is lowered, there emerges a dynamic phase transition to an ordered state with nonzero dynamic…

Condensed Matter · Physics 2009-11-07 Gun Sang Jeon , Jong Soo Lim , Hyun Jin Kim , M. Y. Choi

We study the quantum phase transition of the one-dimensional phase model in the presence of dissipative frustration, provided by an interaction of the system with the environment through two non-commuting operators. Such a model can be…

Statistical Mechanics · Physics 2018-04-25 Dominik Maile , Sabine Andergassen , Wolfgang Belzig , Gianluca Rastelli

We study the effect of thermal fluctuations in a fully frustrated Josephson junction array driven by a current I larger than the apparent critical current I_c(T). We calculate numerically the behavior of the chiral order parameter of Z_2…

Superconductivity · Physics 2016-08-31 Veronica I. Marconi , Daniel Dominguez

We study, analytically and numerically, phase locking of driven vortex lattices in fully-frustrated Josephson junction arrays at zero temperature. We consider the case when an ac current is applied {\it perpendicular} to a dc current. We…

Superconductivity · Physics 2007-05-23 Veronica Marconi , Alejandro Kolton , Daniel Dominguez , Niels Gronbech-Jensen

We study the nature of correlations within, and the transition into, the floating phase of dissipative Josephson junction arrays. Order parameter correlations in this phase are long-ranged in time, but only short-ranged in space. A…

Statistical Mechanics · Physics 2016-08-31 Sumanta Tewari , John Toner , Sudip Chakravarty

Equilibrium and non-equilibrium relaxation behaviors of two-dimensional superconducting arrays are investigated via numerical simulations at low temperatures in the presence of incommensurate transverse magnetic fields, with frustration…

Statistical Mechanics · Physics 2009-11-13 Gun Sang Jeon , Sung Jong Lee , Bongsoo Kim , M. Y. Choi

An effective free energy of a two dimensional (i.e. large area) Josephson Junctions is derived, allowing for thermal fluctuations, for random magnetic fields and for external currents. We show by using replica symmetry breaking methods,…

Superconductivity · Physics 2009-10-30 Baruch Horovitz , Anatoly Golub

We consider a fractional Josephson vortex in a long 0-kappa Josephson junction. A uniformly applied bias current exerts a Lorentz force on the vortex. If the bias current exceeds the critical current, an integer fluxon is torn off the…

Superconductivity · Physics 2009-11-02 U. Kienzle , T. Gaber , K. Buckenmaier , K. Ilin , M. Siegel , D. Koelle , R. Kleiner , E. Goldobin

The critical behavior of frustrated Josephson-junction arrays at $f=1/2$ flux quantum per plaquette is considered. Results from Monte Carlo simulations and transfer matrix computations support the identification of the critical behavior of…

Condensed Matter · Physics 2009-10-28 Enzo Granato , J. M. Kosterlitz , M. P. Nightingale

The seminal theoretical works of Berezinskii, Kosterlitz, and Thouless presented a new paradigm for phase transitions in condensed matter that are driven by topological excitations. These transitions have been extensively studied in the…

Quantum Physics · Physics 2020-09-16 R. Cosmic , K. Kawabata , Y. Ashida , H. Ikegami , S. Furukawa , P. Patil , J. M. Taylor , Y. Nakamura

Path Integral Quantum Monte Carlo simulation is used to study thermodynamic properties and a phase diagram of 2D quantum Josephson array, described by 2+1 XY model. The helicity and vorticity moduli, correlation function of phases and other…

Superconductivity · Physics 2015-06-25 A. I. Belousov , Yu. E. Lozovik

We consider a fractional Josephson vortex in an infinitely long 0-kappa Josephson junction. A uniform bias current applied to the junction exerts a Lorentz force acting on a vortex. When the bias current becomes equal to the critical (or…

Superconductivity · Physics 2009-11-02 K. Vogel , T. Kato , W. P. Schleich , D. Koelle , R. Kleiner , E. Goldobin

Two-dimensional arrays of ballistic Josephson junctions are important as model systems for synthetic quantum materials. Here, we investigate arrays of multiterminal junctions which exhibit a phase difference $\varphi_0$ at zero current.…

A system of two parallel Josephson junction arrays coupled by interlayer capacitances is considered in the situation where one layer is in the vortex-dominated and the other in the charge-dominated regime. This system shows a symmetry…

Condensed Matter · Physics 2009-10-28 Yaroslav M. Blanter , Gerd Schoen

We derive a uniformly frustrated $XY$ model that describes two-dimensional Josephson-junction arrays consisting of rotating Bose-Einstein condensates trapped by both a harmonic trap and a corotating deep optical lattice. The harmonic trap…

Statistical Mechanics · Physics 2009-11-13 Kenichi Kasamatsu

A model of a superconducting tunnel junction coupled to a mechanical oscillator is studied at zero temperature in the case of linear coupling between the oscillator and tunneling electrons. It is found that the Josephson current flowing…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jian-Xin Zhu , Z. Nussinov , A. V. Balatsky

We consider interacting vortices in a quasi-one-dimensional array of Josephson junctions with small capacitance. If the charging energy of a junction is of the order of the Josephson energy, the fluctuations of the superconducting order…

Superconductivity · Physics 2009-10-31 C. Bruder , L. I. Glazman , A. I. Larkin , J. E. Mooij , A. van Oudenaarden