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We investigate the Josephson effect for a setup with two lattice quantum wires featuring Majorana zero energy boundary modes at the tunnel junction. In the weak-coupling, the exact solution reproduces the perturbative result for the energy…

Mesoscale and Nanoscale Physics · Physics 2012-07-16 Flavio S. Nogueira , Ilya Eremin

The admittance of two types of Josephson weak links is calculated, i.e., of a one-dimensional superconducting wire with a local suppression of the order parameter, and the second is a short S-c-S structure, where S denotes a superconductor…

Superconductivity · Physics 2017-04-28 Andreas Moor , Anatoly F. Volkov

With the goal of understanding the intricate behavior and dynamics of collections of neurons, we present superconducting circuits containing Josephson junctions that model biologically realistic neurons. These "Josephson junction neurons"…

Superconductivity · Physics 2013-05-29 Patrick Crotty , Daniel Schult , Ken Segall

The Hamiltonian operator for an unbiased array of Josephson junctions with gate voltages is constructed when only Cooper pair tunnelling and charging effects are taken into account. The supercurrent through the system and the pumped current…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Aunola , J. J. Toppari , J. P. Pekola

The Josephson effect is generally described as Cooper pair tunneling, but it can also be understood in a more general context. The DC Josephson effect is the pseudo-Goldstone boson of two coupled systems with a broken continuous abelian…

Mesoscale and Nanoscale Physics · Physics 2010-04-20 D. Chasse , A. -M. S. Tremblay

We analyze the quantum dynamics of two electromagnetic oscillators coupled in series to a voltage biased Josephson junction. When the applied voltage leads to a Josephson frequency across the junction which matches the sum of the two mode…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 A. D. Armour , Björn Kubala , Joachim Ankerhold

We report on an astonishing switching synchronization phenomenon in one-dimensional memristive networks, which occurs when several memristive systems with different switching constants are switched from the high to low resistance state. Our…

Mesoscale and Nanoscale Physics · Physics 2016-10-31 V. A. Slipko , M. Shumovskyi , Y. V. Pershin

We study theoretically the Josephson effect between two time-reversal two-band superconductors, where we assume the equal-time spin-singlet $s$-wave pair potential in each conduction band. %as well as the band asymmetry and the band…

Superconductivity · Physics 2020-05-13 Akihiro Sasaki , Satoshi Ikegaya , Tetsuro Habe , Alexander A. Golubov , Yasuhiro Asano

An intrinsic tunnel junction was made using two Bi-2212 single crystal whiskers. The two whiskers with a cross-angle were overlaid at their c-planes and connected by annealing. The angular dependence of the critical current density along…

We characterize thermalization slowing-down of Josephson junction networks in 1, 2 and 3 spatial dimensions for systems with hundreds of sites by computing their entire Lyapunov spectra. The ratio of Josephson coupling $E_J$ to energy…

Statistical Mechanics · Physics 2024-06-28 Gabriel M. Lando , Sergej Flach

We observe a series of discontinuities in the above gap current/voltage characteristics of highly transmissive Nb/Si superconductor/semiconductor interfaces. The bias at which each switch occurs decreases in quantized steps as a function of…

Superconductivity · Physics 2009-10-30 M. J. Black , B. W. Alphenaar , H. Ahmed

Synchronization is essential for proper functioning of the power grid. We investigate the synchronous state and its stability for a network with a cyclic topology and with the evolution of the states satisfying the swing equations. We…

Chaotic Dynamics · Physics 2017-09-13 Kaihua Xi , Johan. L. A. Dubbeldam , Haixiang Lin

Experimental studies of synchronization properties on networks with controlled connection topology can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection…

Chaotic Dynamics · Physics 2011-07-28 Bhargava Ravoori , Adam B. Cohen , Jie Sun , Adilson E. Motter , Thomas E. Murphy , Rajarshi Roy

In order to mimic the phase changes in the primordial Big Bang, several "cosmological" solid-state experiments have been conceived, during the last decade, to investigate the spontaneous symmetry breaking in superconductors and superfluids…

Superconductivity · Physics 2019-12-06 Roberto Monaco , Jesper Mygind , Valery K. Koshelets

This work reports a novel time-domain expression for the current-response kernels of a Josephson tunnel junction between BCS superconductors with in general different energy gaps, and its use to simulate the classical dynamics of such…

Mesoscale and Nanoscale Physics · Physics 2022-01-21 Dmitri V. Averin

Multi-terminal Josephson junctions were recently proposed as a versatile and tunable platform to emulate topological Bloch-like Hamiltonians in arbitrary dimensions. In this perspective article, we will give a brief overview of the subject…

Mesoscale and Nanoscale Physics · Physics 2023-03-31 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

We study superconducting-normal-superconducting (SNS) Josephson junctions in one-dimensional topological superconductors which support more than one Majorana end mode. The variation of the energy spectrum with the superconducting phase is…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Doru Sticlet , Cristina Bena , Pascal Simon

We study localization effects in Josephson junctions with two superconductors connected by a strongly disordered metallic wire of length $L$. The conventional description of the Josephson effect in such systems, based on the quasiclassical…

Mesoscale and Nanoscale Physics · Physics 2025-03-21 Mustafa E. Ismagambetov , Aleksey V. Lunkin , Pavel M. Ostrovsky

We study the quantum dynamics of Josephson junction arrays. We find isolated groups of low-entanglement eigenstates, that persist even when the Josephson interaction is strong enough to destroy the organization of the spectrum in…

Statistical Mechanics · Physics 2022-07-22 Angelo Russomanno , Michele Fava , Rosario Fazio

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
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