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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.…

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

One can demonstrate that a 1-D Josephson network containing junctions with different resistances can be synchronized at frequencies, which are multiples of 2eV, where V is the total d.c. voltage applied across the network. The appearance of…

Superconductivity · Physics 2015-06-16 Yurii Ovchinnikov , Vladimir Kresin

A comprehensive theory of the Kosterlitz-Thouless transition in two-dimensional superfluids in thermal equilibrium can be developed within a dual representation which maps vortices in the superfluid to charges in a Coulomb gas. In this…

Statistical Mechanics · Physics 2016-09-29 L. M. Sieberer , G. Wachtel , E. Altman , S. Diehl

For nearly a half century the dominant orthodoxy has been that the only effect of the Cooper pairing is the state with zero resistivity at finite temperatures, superconductivity. In this work we demonstrate that by the symmetry of the…

Superconductivity · Physics 2017-08-02 Tatyana I. Baturina , Valerii M. Vinokur

Dynamical nature of the Josephson vortex (JV) system in Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ (Bi2212) has been investigated in the presence of the c-axis current with magnetic field alignments very close to the $ab$-plane. As a function of…

Superconductivity · Physics 2007-05-23 I. Kakeya , M. Iwase , T. Yamazaki , T. Yamamoto , K. Kadowaki

The mixed phase of layered superconductors with no magnetic screening is studied through a partial duality analysis of the corresponding XY model in the presence of random pinning centers. Sufficiently weak Josephson coupling between…

Superconductivity · Physics 2009-11-10 J. P. Rodriguez

We show that an array of Josephson coupled Cooper paired planes can never have long range phase coherence at any finite temperature due to an infrared divergence of phase fluctuations. The phase correlations decay in a slow enough manner…

Superconductivity · Physics 2007-05-23 Bogdan A. Bernevig , Zaira Nazario , David I. Santiago

A layered system of charges with logarithmic interaction parallel to the layers and random dipoles in each layer is studied via a variational method and an energy rationale. These methods reproduce the known phase diagram for a single layer…

Disordered Systems and Neural Networks · Physics 2009-11-10 Baruch Horovitz , Pierre Le Doussal

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 study the effect of thermal fluctuations in a vortex lattice driven in the periodic pinning of a Josephson junction array. The phase diagram current ($I$) vs. temperature ($T$) is studied. Above the critical current $I_c(T)$ we find a…

Superconductivity · Physics 2009-10-31 Veronica I. Marconi , Daniel Dominguez

We study a 1-D array of Josephson coupled superconducting grains with kinetic inductance which dominates over the Josephson inductance. In this limit the dynamics of excess Cooper pairs in the array is described in terms of charge solitons,…

Condensed Matter · Physics 2009-10-28 Ziv Hermon , Eshel Ben-Jacob , Gerd Schön

We study the Josephson effect in junctions composed of two ferromagnetic insulator/diffusive superconductor bilayers separated by an insulating barrier. By computing the free energy of the system, we identify two distinct contributions: (i)…

Superconductivity · Physics 2025-10-08 A. A. Mazanik , C. -H. Huang , Miguel A. Cazalilla , F. S. Bergeret

We studied current-voltage characteristics of long one dimensional Josephson junction chains with Josephson energy much larger than charging energy, $E_J \gg E_C$. In this regime, typical IV curves of the samples consist of a supercurrent…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Adem Ergül , Jack Lidmar , Jan Johansson , David Schaeffer , Magnus Lindblom , David B. Haviland

The equilibrium behavior of vortices in the classical two-dimensional (2D) XY model with uncorrelated random phase shifts is investigated. The model describes Josephson-Junction arrays with positional disorder, and has ramifications in a…

Condensed Matter · Physics 2009-10-28 Lei-Han Tang

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 the Josephson-like interlayer tunneling signature of the strongly correlated $\nu_T = 1$ quantum Hall phase in bilayer two-dimensional electron systems as a function of the layer separation, temperature and interlayer charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. R. Champagne , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We investigate the interfacial vortex physics of a heterostructure composed of a type-II $s$-wave superconductor (SC) and a $C=1$ Chern insulator (CI). By deriving an effective $(2+1)$-dimensional theory, we show that the interfacial…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 Enderalp Yakaboylu , Thomas L. Schmidt

We study analytically and numerically the influence of the quasiparticle charge imbalance on the dynamics of the asymmetric Josephson stack formed by two inequivalent junctions: the fast capacitive junction $JJ_{1}$ and slow non-capacitive…

Superconductivity · Physics 2019-09-04 S. V. Bakurskiy , A. A. Neilo , N. V. Klenov , I. I. Soloviev , M. Yu. Kupriyanov

We study the effects of an $ab$-surface on the vortex-solid to vortex-liquid transition in layered superconductors in the limit of vanishing inter-layer Josephson coupling. We derive the interaction between pancake vortices in a…

Superconductivity · Physics 2009-11-11 A. De Col , G. I. Menon , V. B. Geshkenbein , G. Blatter