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Josephson current in SFcFS junctions with arbitrary transparency of the constriction (c) is investigated. The emphasis is done on the analysis of the supercurrent dependencies on the misorientation angle $\theta $ between the in-plane…

Superconductivity · Physics 2009-11-11 A. V. Zaitsev

The development of superconducting memory and logic based on magnetic Josephson junctions relies on an understanding of junction properties and, in particular, the dependence of critical current on external magnetic flux (i.e. Fraunhofer…

Superconductivity · Physics 2019-03-19 Bence Börcsök , Sachio Komori , Alexander Buzdin , Jason Robinson

We study the Josephson current through a ferromagnetic trilayer, both in the diffusive and clean limits. For colinear (parallel or antiparallel) magnetizations in the layers, the Josephson current is small due to short range proximity…

Superconductivity · Physics 2015-03-31 M. Houzet , A. I. Buzdin

In this study, we explore the Josephson current-phase relation within a planar diffuse tunneling superconducting multilayer junction subjected to a parallel magnetic field. Our investigation involves computing the supercurrent associated…

Superconductivity · Physics 2024-06-19 A. S. Osin , Alex Levchenko , Maxim Khodas

We study the quantum phase transitions in two-dimensional arrays of Josephson-couples junctions with short range Josephson couplings (given by the Josephson energy) and the charging energy. We map the problem onto the solvable quantum…

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

Using the path integral approach, we provide an explicit derivation of the equation for the phase boundary for quantum Josephson junction arrays with offset charges and non-diagonal capacitance matrix. For the model with nearest neighbor…

Superconductivity · Physics 2009-10-31 G. Grignani , A. Mattoni , P. Sodano , A. Trombettoni

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…

Condensed Matter · Physics 2009-10-28 Colin Denniston , Chao Tang

In the present work, the current-voltage (I-V) characteristics in a coupled long Josephson junction based on magnesium diboride are studied by establishing a system of equations of phase differences of various inter- and intra-band channels…

Soft Condensed Matter · Physics 2021-03-30 S. P. Chimouriya , B. R. Ghimire , J. H. Kim

We study the parity effect and transport due to quasiparticles in circuits comprised of many superconducting islands. We develop a general approach and show that it is equivalent to previous methods for describing the parity effect in their…

Superconductivity · Physics 2015-05-13 Jared H. Cole , Andreas Heimes , Timothy Duty , Michael Marthaler

Two parallel stacks of coupled Josephson junctions are investigated to clarify the physics of transitions between the rotating and oscillating states and their effect on the IV-characteristics of the system. The detailed study of phase…

Superconductivity · Physics 2014-08-08 Yu. M. Shukrinov , I. R. Rahmonov , A. Plecenik , M. Grajcar , P. Seidel , E. Il'ichev , W. Nawrocki

A general formula for Josephson current in a wide class of hybrid junctions between different internal structures is derived on the basis of the Andreev picture. The formula extends existing formulae and also enables us to analyze novel…

Superconductivity · Physics 2013-05-29 Munehiro Nishida , Noriyuki Hatakenaka , Susumu Kurihara

Using the lumped circuit equations, we derive a stability criterion for superconducting pinned states in two-dimensional arrays of Josephson junctions. The analysis neglects quantum, thermal, and inductive effects, but allows disordered…

Superconductivity · Physics 2009-10-31 Mauricio Barahona , Steven H. Strogatz

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

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

Modulation of the critical current across layers, Ic(H), of stacked Josephson junctions (SJJs) as a function of an applied magnetic field parallel to the junction planes is studied theoretically and experimentally for different junction…

Superconductivity · Physics 2015-06-25 V. M. Krasnov , N. Mros , A. Yurgens , D. Winkler

The physics of Josephson tunnel junctions drastically depends on their geometrical configurations and here we show that also tiny geometrical details play a determinant role. More specifically, we develop the theory of short and long…

Superconductivity · Physics 2016-06-09 Roberto Monaco

The dynamics of thermally excited vortices in a dilute two-dimensional Josephson junction array where a fraction of the superconducting islands is missing has been investigated using a multiple trapping model. An expression for the…

Statistical Mechanics · Physics 2007-05-23 Md. Ashrafuzzaman , Massimiliano Capezzali , Hans Beck

We study how the addition of defects in an otherwise uniform Josehpson junction array modifies the critical current of the array, by numerically solving the system of coupled Josephson equations. Our results confirm the existence of two…

Superconductivity · Physics 2007-05-23 D. -X. Chen , J. J. Moreno , A. Hernando , A. Sanchez

Appearance and origin of resonance phenomena have been studied in the annular system of underdamped Josephson junctions. If no fluxon is trapped in the system, dynamics is governed by the motion of fluxon-antifluxon pairs, while if trapped…

Superconductivity · Physics 2020-06-24 I. R. Rahmonov , J. Tekić , P. Mali , A. Irie , A. Plecenik , Yu. M. Shukrinov

An extended Josephson junction consists of two superconducting electrodes that are separated by an insulator and it is therefore also a microwave cavity. The superconducting phase difference across the junction determines the supercurrent…

Superconductivity · Physics 2015-06-03 V. Humbert , M. Aprili , J. Hammer