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A recently proposed scheme for the analytical treatment of the dynamics of two-dimensional hybrid Josephson junction arrays is extended to a class of generalized hybrid arrays with ''horizontal'' shunts involving a capacitive as well as an…

凝聚态物理 · 物理学 2009-10-28 Michael Basler , Wolfram Krech , Konstantin Yu. Platov

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…

超导电性 · 物理学 2009-10-31 Mauricio Barahona , Steven H. Strogatz

In this note I survey the extensive literature on the dynamics of large series arrays of identical current biased Josephson junctions coupled through various shared loads. The equations describing the dynamics are invariant under…

动力系统 · 数学 2017-07-04 D. G. Aronson

We study the synchronization in a one dimensional array of point Josephson junctions coupled to a common capacitor, which establishes a long-range interaction between junctions and synchronizes them. The stability diagram of synchronization…

超导电性 · 物理学 2015-03-19 Shi-Zeng Lin , Xiao Hu , Lev Bulaevskii

We consider an array of Josephson junctions with a common LCR-load. Application of the Watanabe-Strogatz approach [Physica D, v. 74, p. 197 (1994)] allows us to formulate the dynamics of the array via the global variables only. For…

混沌动力学 · 物理学 2015-06-15 Vladimir Vlasov , Arkady Pikovsky

We study the phase diagram at finite temperature of Josephson junction arrays with capacitive disorder (i.e., random offset charges and/or random charging energies): in the limit of large particle numbers per junction, this is a remarkable…

超导电性 · 物理学 2007-05-23 F. P. Mancini , P. Sodano , A. Trombettoni

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…

超导电性 · 物理学 2009-10-31 P. Miller , J. K. Freericks

The stationary Josephson current in a ballistic graphene system is theoretically studied with focus on a planar junction consisting of a monolayer graphene sheet on top of which a pair of superconducting electrodes is deposited. To…

介观与纳米尺度物理 · 物理学 2020-08-26 Yositake Takane

We review the self-consistent mean-field theory for charge-frustrated Josephson junction arrays. Using <cos(\phi)> (\phi is the phase of the superconducting wavefunction) as order parameter and imposing the self-consistency condition, we…

超导电性 · 物理学 2007-05-23 F. P. Mancini , P. Sodano , A. Trombettoni

A microscopic model of a Josephson junction between two superconducting plates is proposed and analysed. For this model, the nonequilibrium steady state of the total system is explicitly constructed and its properties are analysed. In…

数学物理 · 物理学 2009-11-10 J. Lauwers , A. Verbeure

Equations describing the resistive state of a layered superconductor with anisotropic pairing are derived. The similarity with a stack of Josephson junctions is found at small voltages only, when current density in the direction…

超导电性 · 物理学 2009-10-30 S. N. Artemenko , A. G. Kobelkov

We study the competition between Josephson and charging energies in two-dimensional arrays of ultrasmall Josephson junctions, when the mutual capacitance is dominant over the self-capacitance. Our calculations involve a combination of an…

凝聚态物理 · 物理学 2016-08-14 Jorge V. José , Cristian Rojas

We consider voltage and current responses formation in DC SQUID with overdamped Josephson junctions in resistive and superconducting state in the frame of resistively shunted junction (RSJ) model. For simplicity we neglect the junction…

超导电性 · 物理学 2016-08-09 I. I. Soloviev , N. V. Klenov , A. E. Schegolev , S. V. Bakurskiy , M. Yu. Kupriyanov

Phase engineering techniques are used to control the dynamics of long-bosonic-Josephson-junction arrays built by linearly coupling Bose-Einstein condensates. Just at the middle point of the underlying discrete energy band of the system,…

量子气体 · 物理学 2020-07-01 Dengling Zhang , Haibo Qiu , Antonio Muñoz Mateo

We present results from an extensive analytic and numerical study of a two-dimensional model of a square array of ultrasmall Josephson junctions. We include the ultrasmall self and mutual capacitances of the junctions, for the same…

超导电性 · 物理学 2016-08-15 Cristian Rojas , Jorge V. José

We report on a theoretical analysis, consisting of both numerical and analytic work, of the stability of synchronization of a ladder array of Josephson junctions under the influence of current induced magnetic fields. Surprisingly, we find…

超导电性 · 物理学 2009-10-31 B. R. Trees , R. A. Murgescu

We calculate current-phase relation (CPR) of a SN-S-SN Josephson junction based on a variable thickness SN bilayer composed of highly disordered superconductor (S) and low-resistive normal metal (N) with proximity induced superconductivity.…

超导电性 · 物理学 2020-02-19 P. M. Marychev , D. Yu. Vodolazov

A mystery surrounds the stability properties of the splay-phase periodic solutions to a series array of N Josephson junction oscillators. Contrary to what one would expect from dynamical systems theory, the splay state appears to be…

adap-org · 物理学 2015-06-30 Shinya Watanabe , James W. Swift

The choice of impedance used to shunt a Josephson junction determines if the charge transferred through the circuit is quantized: a capacitive shunt renders the charge discrete, whereas an inductive shunt leads to continuous charge. This…

介观与纳米尺度物理 · 物理学 2010-07-21 Jens Koch , V. Manucharyan , M. H. Devoret , L. I. Glazman

We consider a one-dimensional Josephson junction array, in the regime where the junction charging energy is much greater than the charging energy of the superconducting islands. In this regime we critically reexamine the continuum limit…

超导电性 · 物理学 2009-11-10 V. Gurarie , A. M. Tsvelik
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