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We investigate a chain of capacitively coupled Josephson junctions in the regime where the charging energy dominates over the Josephson coupling, exploiting the analogy between this system and a multi-dimensional crystal. We find that the…

Condensed Matter · Physics 2009-10-28 Yaroslav M. Blanter , Gerd Schön , Andrei D. Zaikin

We have investigated numerically the phase--locking behavior of two-dimensional Josephson junction arrays,taking into account a finite inductance ($l\stackrel{>}{\sim}1$) of the unit cell and external magnetic fields. Within this model we…

Condensed Matter · Physics 2009-10-22 W. Krech , K. Yu. Platov

In this work, we derive an analytical procedure for obtaining a multidimensional washboard ratchet potential Uf for two-dimensional Josephson junctions array (TDJJA) with an applied magnetic field. The magnetic field is given in units of…

Dynamical Systems · Mathematics 2016-11-04 Rafael Rangel , Marcos Negruz

This article presents the phase dynamics of an inline long Josephson junction in voltage state under the influence of constant external magnetic field. Fractional calculus approach is used to model the evolution of the phase difference…

Numerical Analysis · Mathematics 2018-11-15 Amer Rasheed , Imtiaz Ali

In this work we study quantum phase transitions and persistent currents in capacitively coupled one-dimensional Josephson-junction arrays. We will focus particularly on the roles of exciton-like pairs in the strong coupling limit in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Minchul Lee , Mahn-Soo Choi , M. Y. Choi

We formulate a fully self-consistent, microscopic model to study the retardation and correlation effects of the barrier within a Josephson junction. The junction is described by a series of planes, with electronic correlation included…

Superconductivity · Physics 2009-10-31 P. Miller , J. K. Freericks

Superconductivity provides a canonical example of a quantum phase of matter. When superconducting islands are connected by Josephson junctions in a lattice, the low temperature state of the system can map to the celebrated XY model and its…

Quantum Physics · Physics 2018-08-29 R. Cosmic , Hiroki Ikegami , Zhirong Lin , Kunihiro Inomata , Jacob M. Taylor , Yasunobu Nakamura

The non-linear dependence on applied $ac$ field ($b_{\omega}$) or current ($% i_{\omega}$) of the microwave (ac) impedance $R_{\omega}+iX_{\omega}$ of both short and long Josephson junctions is calculated under a variety of excitation…

Superconductivity · Physics 2009-10-31 Z. Zhai , Patanjali V. Parimi , S. Sridhar

While Josephson junctions can be viewed as highly non-linear impedances for superconducting quantum technologies, they also possess internal dynamics that may strongly affect their behavior. Here, we construct a computational framework that…

Superconductivity · Physics 2019-05-29 Benoit Rossignol , Thomas Kloss , Xavier Waintal

Two-dimensional Josephson junction arrays frustrated by a perpendicular magnetic field are predicted to form a cascade of distinct vortex lattice states. Here, we show that the resistivity tensor provides both structural and dynamical…

Superconductivity · Physics 2024-01-11 Alexander-Georg Penner , Karsten Flensberg , Leonid I. Glazman , Felix von Oppen

We consider the effect of positional disorder on a Josephson junction array with an applied magnetic field of f=1/2 flux quantum per unit cell. This is equivalent to the problem of random Gaussian phase shifts in the fully frustrated 2D XY…

Superconductivity · Physics 2009-10-31 Pramod Gupta , S. Teitel

We study the dynamics of fully frustrated, underdamped Josephson arrays. Experiments reveal remarkable similarities among the dc current-voltage characteristics of several kinds of square and triangular arrays, where two resonant voltages…

We calculate both the DC and the AC Josephson current through a one-dimensional system of interacting electrons, connected to two superconductors by tunnel junctions. We treat the (repulsive) Coulomb interaction in the framework of the…

Condensed Matter · Physics 2009-10-28 Rosario Fazio , F. W. J. Hekking , A. A. Odintsov , 11 pages RevTex , 9 figures

We discuss correlated lattice models with a time-dependent potential across a barrier and show how to implement a Josephson-junction-like behavior. The pairing occurs by a correlation effect enhanced by the symmetry of the system. In order…

Superconductivity · Physics 2009-11-11 Stefano Bellucci , Michele Cini , Pasquale Onorato , Enrico Perfetto

Recent microwave reflection measurements of Josephson junction ladders have suggested the presence of nearly coherent collective charge oscillations deep in the insulating phase. Here we develop a qualitative understanding of such coherent…

Superconductivity · Physics 2019-06-26 Huan-Kuang Wu , Jay D. Sau

We investigate Josephson arrays consisting of a dice-lattice network of superconducting weak links surrounding rhombic plaquettes of proximitized semiconductor. Josephson coupling of the weak links and electron density in the plaquettes are…

Mesoscale and Nanoscale Physics · Physics 2025-10-10 J. D. Bondar , L. Banszerus , W. Marshall , T. Lindemann , T. Zhang , M. J. Manfra , C. M. Marcus , S. Vaitiekėnas

We simulate the current-voltage relation of short layered superconductors, which we model as stacks of capacitively coupled Josephson junctions. The system is driven by external laser fields, in order to optically control the voltage drop…

Superconductivity · Physics 2019-10-30 Frank Schlawin , Anastasia S. D. Dietrich , Dieter Jaksch

We study numerically the motion of vortices in two-dimensional arrays of resistively shunted Josephson junctions. An extra vortex is created in the ground states by introducing novel boundary conditions and made mobile by applying external…

Statistical Mechanics · Physics 2009-11-11 Jong Soo Lim , M. Y. Choi , Beom Jun Kim , J. Choi

By means of electrical transport measurements we have studied the rectified motion of vortices in ratchet potentials engineered on over-damped Josephson junction arrays. The rectified voltage as a function of the vortex density shows a…

Superconductivity · Physics 2007-05-23 D. E. Shalom , H. Pastoriza

We have studied a quantum Hamiltonian that models an array of ultrasmall Josephson junctions with short range Josephson couplings, $E_J$, and charging energies, $E_C$, due to the small capacitance of the junctions. We derive a new effective…

Statistical Mechanics · Physics 2016-08-15 T. K. Kopeć , J. V. José