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We study motion of vortices in arrays of Josephson junctions at zero temperature where it is controlled by quantum tunneling from one plaquette to another. The tunneling process is characterized by a finite time and can be slow compared to…

Soft Condensed Matter · Physics 2009-10-30 L. B. Ioffe , B. N. Narozhny

The superconducting transition of a two-dimensional (2D) Josephson junction array exposed to weak magnetic fields has been studied experimentally. Resistance measurements reveal a superconducting-resistive phase boundary in serious…

Superconductivity · Physics 2009-11-11 In-Cheol Baek , Young-Je Yun , Mu-Yong Choi

A report of numerical experiment results on long Josephson junction with one and two rectangular inhomogeneities in the barrier layer is presented. In case of one inhomogeneity we demonstrate the existence of the asymmetric fluxon states.…

Superconductivity · Physics 2009-11-11 O. Yu. Andreeva , T. L. Boyadjiev , Yu. M. Shukrinov

At strong magnetic fields double-layer two-dimensional-electron-gas systems can form an unusual broken symmetry state with spontaneous inter-layer phase coherence. In this paper we explore the rich variety of quantum and finite-temperature…

Condensed Matter · Physics 2009-10-22 K. Moon , H. Mori , Kun Yang , S. M. Girvin , A. H. MacDonald , L. Zheng , D. Yoshioka , Shou-Cheng Zhang

We consider the conductivity quantization in two-dimensional arrays of mesoscopic Josephson junctions, and examine the associated degeneracy in various regimes of the system. The filling factor of the system may be controlled by the gate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Y. Choi , J. Choi

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

We theoretically explore the low-energy behavior of a Josephson tunnel junction coupled to a finite-length, charge-biased transmission line and compare it to its flux-biased counterpart. For transmission lines of increasing length, we show…

Quantum Physics · Physics 2026-03-04 Luca Giacomelli , Michel H. Devoret , Cristiano Ciuti

We calculate the current-voltage characteristics and critical current I_c^{array} of an array of Josephson-coupled superconducting wires. The array has two layers, each consisting of a set of parallel wires, arranged at right angles, such…

Superconductivity · Physics 2009-10-31 J. Kent Harbaugh , D. Stroud

The ground state of interlayer Josephson vortex systems is investigated on the basis of a simplified Lawrence-Doniach model in which spatial dependence of the gauge field and the amplitude of superconducting order parameter is not taken…

Superconductivity · Physics 2009-11-11 Yoshihiko Nonomura , Xiao Hu

I describe the magnetic-field and current-density distributions generated by two-dimensional (2D) pancake vortices in infinite, semi-infinite, and finite-thickness stacks of Josephson-decoupled superconducting layers. Arrays of such…

Superconductivity · Physics 2010-08-31 John R. Clem

We found a finite temperature glass transition in the absence of quenched disorder in frustrated Josephson junction arrays (JJA) on a square lattice with anisotropic Josephson couplings by numerical simulations. The vortexes develop zigzag…

Superconductivity · Physics 2009-07-23 Hajime Yoshino , Tomoaki Nogawa , Bongsoo Kim

Abrikosov vortex contains magnetic field and circulating currents that decay at a short range $\lambda \sim 100$ nm. However, the vortex can induce a long range Josephson phase shift at distances $r\sim\mu$m$\gg\lambda$. The mechanism of…

Superconductivity · Physics 2019-11-20 T. Golod , A. Pagliero , V. M. Krasnov

In quantum gases, weak links are typically realized with externally imposed optical potentials. We show that, in rotating binary condensates, quantized vortices in one component form hollow channels that act as self-induced weak links for…

Quantum Gases · Physics 2026-02-03 Natalia Masalaeva , Wyatt Kirkby , Francesca Ferlaino , Russell N. Bisset

Two chains of ultrasmall Josephson junctions, coupled capacitively with each other in the two different ways, straight and slanted coupling, are considered. As the coupling capacitance increases, regardless of the coupling scheme, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Mahn-Soo Choi

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

We consider the ground state configurations of the Josephson vortex lattice in layered superconductors. Due to commensurability effects with the layered structure, the lattice has multiple configurations, both aligned with layers and…

Superconductivity · Physics 2007-05-23 A. E. Koshelev

In the presence of the Josephson vortex lattice in layered superconductors, a small c-axis magnetic field penetrates in the form of vortex chains. In general, the structure of a single chain is determined by the ratio of the London…

Superconductivity · Physics 2015-06-24 A. E. Koshelev

A model of a ladder of Josephson junctions in a magnetic field is considered. The topological features of the zero-temperature phase diagram, as a function of charging energy and small deviations from commensurability of the vortex lattice,…

Condensed Matter · Physics 2016-08-31 Enzo Granato

We have numerically and analytically studied ac+dc driven Josephson-junction arrays with a single vortex or with a single vortex-antivortex pair present. We find single-vortex steps in the voltage versus current characteristics (I-V) of the…

Superconductivity · Physics 2016-08-15 P. H. E. Tiesinga , T. J. Hagenaars , J. E. van Himbergen , Jorge V. José

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