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We study a Josephson junction ladder in a magnetic field in the absence of charging effects via a transfer matrix formalism. The eigenvalues of the transfer matrix are found numerically, giving a determination of the different phases of the…

Statistical Mechanics · Physics 2007-05-23 Colin Denniston , Chao Tang

In this paper, we report on different phenomena related to the magnetic properties of artificially prepared highly ordered (periodic) two-dimensional Josephson junction arrays (2D-JJA) of both shunted and unshunted Nb-AlOx-Nb tunnel…

Superconductivity · Physics 2008-02-19 Fernando M. Araujo-Moreira , Sergei Sergeenkov

The minimal length of ``one-dimensional'' Josephson junctions, in which the specific bound states of the magnetic flux retain their stability is discussed numerically. Thereby, we consider as ``long'' every Josephson junction, in which…

Superconductivity · Physics 2025-10-20 T. L. Boyadjiev , M. D. Todorov

Two-fluxon state in an annular Josephson junction in the presence of external magnetic field is studied analytically, numerically and experimentally. We obtain an analytical expression for the potential of interaction between the fluxons…

Superconductivity · Physics 2012-08-27 A. A. Abdumalikov, , B. A. Malomed , A. V. Ustinov

We have carried out a detailed experimental investigation of the static properties of planar Josephson tunnel junctions in presence of a uniform external magnetic field applied in an arbitrary orientation with respect to the barrier plane.…

Superconductivity · Physics 2011-01-11 R. Monaco , M. Aroe , J. Mygind , V. P. Koshelets

A key phenomenon related to the Josephson effect is oscillations of different properties of superconducting tunneling junctions with magnetic field. We consider magnetic oscillations of the critical current in stacks of intrinsic Josephson…

Superconductivity · Physics 2011-11-09 A. E. Koshelev

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

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 present a theoretical study of inhomogeneous dynamic (resistive) states in a single plaquette consisting of three Josephson junctions. Resonant interactions of such a breather state with electromagnetic oscillations manifest themselves…

Superconductivity · Physics 2009-11-07 M. V. Fistul , S. Flach , A. Benabdallah

We report relaxation oscillations in a one-dimensional array of Josephson junctions. The oscillations are circuit-dual to those ordinarily observed in single junctions. The dual circuit quantitatively accounts for temporal dynamics of the…

Mesoscale and Nanoscale Physics · Physics 2024-08-16 S. Mukhopadhyay , D. A. Lancheros-Naranjo , J. Senior , A. P. Higginbotham

We study a quantum Hamiltonian that models an two--dimensional array of Josephson junctions with short range Josephson couplings, (given by the Josephson energy E_J and charging energiey E_C due to the small capacitance of the junctions. We…

Superconductivity · Physics 2009-11-10 T. K. Kopec , T. P. Polak

When magnetic flux moves across layered or granular superconductor structures, the passage of vortices can take place along channels which develop finite voltage, while the rest of the material remains in the zero-voltage state. We present…

Superconductivity · Physics 2009-10-30 Mauricio Barahona , Shinya Watanabe

The physics of Josephson tunnel junctions drastically depends on their geometrical configurations. The shape of the junction determines the specific form of the magnetic-field dependence of the its Josephson current. Here we address the…

Superconductivity · Physics 2016-06-09 Roberto Monaco

The effects of a magnetic field on a modulated phase is studied. A modulated phase is found to have two critical fields $H_{1}$ and $H_{2}$. For a large enough magnetic field. $H_1$ can be approximated by a linear law. As a result, the…

Condensed Matter · Physics 2015-06-25 Bambi Hu , Jian Zhou

In this Chapter, we present our latest experimental results (along with their theoretical interpretation) related to some unusual magnetic properties of artificially prepared ordered two-dimensional Josephson junction arrays (of both…

Superconductivity · Physics 2008-02-12 F. M. Araujo-Moreira , S. Sergeenkov

We analyze the consequences resulting from the asymmetric boundary conditions imposed by a non-uniform external magnetic field at the extremities of a planar Josephson tunnel junction and predict a number of testable signatures. When the…

Superconductivity · Physics 2011-01-11 R. Monaco

We study theoretically dynamics in a Josephson junction coupled to a mechanical resonator looking at the signatures of the resonance in d.c. electrical response of the junction. Such a system can be realized experimentally as a suspended…

Mesoscale and Nanoscale Physics · Physics 2012-12-07 C. Padurariu , C. J. H. Keijzers , Yu. V. Nazarov

In this paper we determine the magnetic field dependence of the critical current of a tridimensional disordered Josephson junction array (3D-DJJA). A contactless configuration, employing measurements of the AC-susceptibility, is used to…

Superconductivity · Physics 2009-10-31 W. A. C. Passos , P. N. Lisboa-Filho , W. A. Ortiz

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

We study a diffusive superconductor - normal metal - superconductor (SNS) junction in an external magnetic field. In the limit of a long junction, we find that the form of the dependence of the Josephson current on the field and on the…

Superconductivity · Physics 2013-04-16 B. Crouzy , D. A. Ivanov