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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…

Dynamical Systems · Mathematics 2017-07-04 D. G. Aronson

We investigate the effect of the phase difference of applied fields on the dynamics of mutually coupled Josephson junction. The system desynchronizes for any value of applied phase difference and the dynamics even changes from chaotic to…

Chaotic Dynamics · Physics 2016-09-08 Chitra R Nayak , V C Kuriakose

We investigate theoretical aspects of the detection of Majorana bound states in Josephson junctions using the semiclassical RCSJ model of junction dynamics. The influence of a 4$\pi$-periodic supercurrent contribution can be detected…

Mesoscale and Nanoscale Physics · Physics 2017-10-06 Jordi Picó-Cortés , Fernando Domínguez , Gloria Platero

We study the classical dynamics of an axion field (the signal) that is coupling into a Josephson junction (the detector) by means of a capacitive coupling of arbitrary size. Depending on the size of the coupling constant and the initial…

Chaotic Dynamics · Physics 2018-08-30 Jin Yan , Christian Beck

We study the response of high-critical current proximity Josephson junctions to a microwave excitation. Electron over-heating in such devices is known to create hysteretic dc voltage-current characteristics. Here we demonstrate that it also…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 Alessandro De Cecco , Kévin Le Calvez , Benjamin Sacépé , Clemens Winkelmann , Hervé Courtois

We describe resistive states of the system combining two types of orderings - superconducting and ferromagnetic one. It is shown that in the presence of magnetization dynamics such systems become inherently dissipative and in principle…

Superconductivity · Physics 2019-11-19 D. S. Rabinovich , I. V. Bobkova , A. M. Bobkov , M. A. Silaev

Two superconductors coupled by a weak link support an equilibrium Josephson electrical current which depends on the phase difference $\varphi$ between the superconducting condensates [1]. Yet, when a temperature gradient is imposed across…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 Antonio Fornieri , Giuliano Timossi , Pauli Virtanen , Paolo Solinas , Francesco Giazotto

While Josephson junctions can be viewed as highly non-linear impedances for superconducting quantum technologies, they also possess internal dynamics that may strongly affect their behavior. Here, we construct a computational framework that…

Superconductivity · Physics 2019-05-29 Benoit Rossignol , Thomas Kloss , Xavier Waintal

We study diffusive magnetic Josephson junctions with four superconducting terminals in the weak proximity limit where the leads are arranged in cross form. Employing the linearized Keldysh-Usadel technique, the anomalous Green's function…

Superconductivity · Physics 2012-04-23 Mohammad Alidoust , Granville Sewell , Jacob Linder

The fractional Josephson effect has been observed in many instances as a signature of a topological superconducting state containing zero-energy Majorana modes. We present a nontopological scenario which can produce a fractional Josephson…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 Jay D. Sau , F. Setiawan

We theoretically study the superconducting diode effect in a three-terminal Josephson junction. The diode effect in superconducting systems is typically related to the presence of a difference in the critical currents for currents flowing…

Superconductivity · Physics 2024-08-07 Jorge Huamani Correa , Michal P. Nowak

We theoretically investigate the crystalline anisotropy of topological phase transitions in phase-controlled planar Josephson junctions (JJs) subject to spin-orbit coupling and in-plane magnetic fields. It is shown how topological…

Superconductivity · Physics 2021-03-04 Joseph D. Pakizer , Benedikt Scharf , Alex Matos-Abiague

We study the influence of dissipation on the switching current statistics of moderately damped Josephson junctions. Different types of both low- and high- $T_c$ junctions with controlled damping are studied. The damping parameter of the…

Superconductivity · Physics 2011-03-11 V. M. Krasnov , T. Golod , T. Bauch , P. Delsing

A Josephson diode is a non-reciprocal circuit element that supports a larger dissipationless supercurrent in one direction than in the other. In this work, we propose and theoretically study a class of Josephson diodes based on supercurrent…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Rubén Seoane Souto , Martin Leijnse , Constantin Schrade

An array of resistively and capacitively shunted Josephson junctions with nonsinusoidal current-phase relation is considered for modelling the transition in high-T$_c$ superconductors. The emergence of higher harmonics, besides the simple…

Superconductivity · Physics 2011-01-04 A. Carbone , M. Gilli , P. Mazzetti , L. Ponta

Multiterminal Josephson junctions are a promising platform to host synthetic topological phases of matter and Floquet states. However, the energy scales governing topological protection in these devices are on the order of the spacing…

A theory is offered for the ballistic 4-terminal Josephson junction. The studied system consists of a mesoscopic two-dimensional normal rectangular layer which is attached in each side to the bulk superconducting banks (terminals). The…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Malek Zareyan , A. N. Omelyanchouk

Intrinsic Josephson-junction stacks realized in high-temperature superconductors provide a very attractive base for developing coherent sources of electromagnetic radiation in the terahertz frequency range. A promising way to synchronize…

Superconductivity · Physics 2011-04-05 A. E. Koshelev

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 consider theoretically phase locking in a simple two-dimensional Josephson junction array consisting of two loops coupled via a joint line transverse to the bias current. Ring inductances are supposed to be small, and special emphasis is…

Condensed Matter · Physics 2009-10-28 Michael Basler , Wolfram Krech , Konstantin Yu. Platov
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