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The Neumann boundary problem for the perturbed sine-Gordon equation describing the electrodynamics of Josephson junctions has been considered. The behavior of a viscous term, described by a higher-order derivative with small diffusion…

Mathematical Physics · Physics 2016-03-01 Monica De Angelis

We present a microscopic theory of dc Josephson current, based on the construction of a coherent temperature Green function in the tight-binding approximation, in junctions with multiband superconductors. This theory is applied to the…

Superconductivity · Physics 2015-06-18 A. V. Burmistrova , I. A. Devyatov

We investigate the Josephson transport through ferromagnetic insulators (FIs) by taking into account the band structure of FIs explicitly. Using the recursive Green's function method, we found the formation of a pi-junction in such systems.…

Superconductivity · Physics 2013-11-13 Shiro Kawabata , Yasuhiro Asano

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…

Superconductivity · Physics 2009-10-31 P. Miller , J. K. Freericks

We show that a finite Josephson Junction (JJ) chain, ending with two bulk superconductors, and with a weak link at its center, may be regarded as a condensed matter realization of a two-boundary Sine-Gordon model. Computing the partition…

Superconductivity · Physics 2009-11-11 Domenico Giuliano , Pasquale Sodano

Transport properties of 2D materials especially close to their boundary has received much attention after the successful fabrication of graphene and other fascinating materials afterwards. While most previous work is devoted to the…

Mesoscale and Nanoscale Physics · Physics 2016-12-15 Fanbing Xia , Jian Wang

We study arrays of planar Nb Josephson junctions with contacts to intermediate electrodes, which allow measurements of individual junctions and, thus, provide an insight into intricate array dynamics. We observe a robust phase-locking of…

Superconductivity · Physics 2022-08-02 S. Yu. Grebenchuk , R. Cattaneo , T. Golod , V. M. Krasnov

A Green's function method is developed for solving strongly-coupled gravity and matter in the semiclassical limit. In the strong-coupling limit, one assumes that Newton's constant approaches infinity. As a result, one may neglect second…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. S. Salopek

Orthogonal array, a classical and effective tool for collecting data, has been flourished with its applications in modern computer experiments and engineering statistics. Driven by the wide use of computer experiments with both qualitative…

Methodology · Statistics 2022-03-15 Yuanzhen He , C. Devon Lin , Fasheng Sun

We study the influence of superconducting correlations on the electronic specific heat in a diffusive superconductor-normal metal-superconductor Josephson junction. We present a description of this system in the framework of the…

Mesoscale and Nanoscale Physics · Physics 2008-07-15 H. Rabani , F. Taddei , O. Bourgeois , R. Fazio , F. Giazotto

A new method is presented for solving Poisson's equation inside an open-ended rectangular pipe. The method uses Fast Fourier Transforms (FFTs) to perform mixed convolutions and correlations of the charge density with the Green function.…

Accelerator Physics · Physics 2011-11-22 Robert D. Ryne

Experiments on one-dimensional small capacitance Josephson Junction arrays are described. The arrays have a junction capacitance that is much larger than the stray capacitance of the electrodes, which we argue is important for observation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. B. Haviland , K. Andersson , P. Agren

The boundary effects on the current-voltage characteristics in two-dimensional arrays of resistively shunted Josephson junctions are examined. In particular, we consider both the conventional boundary conditions (CBC) and the fluctuating…

Superconductivity · Physics 2009-10-31 M. Y. Choi , Gun Sang Jeon , Mina Yoon

We analyze the ground state properties of an array of quantum dots connected in series between superconducting electrodes. This system is represented by a finite Hubbard chain coupled at both ends to BCS superconductors. The ground state is…

Superconductivity · Physics 2009-11-13 F. S. Bergeret , A. Levy Yeyati , A. Martin-Rodero

The dc Josephson effect provides a powerful phase-sensitive tool for investigating superfluid order parameters. We report on the observation of dc Josephson supercurrents in strongly interacting fermionic superfluids across a tunnelling…

Quantum Gases · Physics 2021-11-10 W. J. Kwon , G. Del Pace , R. Panza , M. Inguscio , W. Zwerger , M. Zaccanti , F. Scazza , G. Roati

Josephson junctions (JJs) are by nature neuromorphic hardware devices capable of mimicking excitability and spiking dynamics. When coupled together or combined with other superconducting elements, they can emulate additional behaviors found…

Chaotic Dynamics · Physics 2025-03-12 G. Baxevanis , J. Hizanidis

A popular method for solving reachability in timed automata proceeds by enumerating reachable sets of valuations represented as zones. A na\"ive enumeration of zones does not terminate. Various termination mechanisms have been studied over…

Formal Languages and Automata Theory · Computer Science 2019-04-19 Paul Gastin , Sayan Mukherjee , B Srivathsan

We report on a "source-sink" algorithm which allows one to calculate time-resolved physical quantities from a general nanoelectronic quantum system (described by an arbitrary time-dependent quadratic Hamiltonian) connected to infinite…

Superconductivity · Physics 2016-04-18 Joseph Weston , Xavier Waintal

We investigate the superfluid dynamics of a Josephson junction beyond the mean-field description, incorporating the role of thermal fluctuations as well as quantum fluctuations. Using a formalism that accounts for the fluctuations in a…

Quantum Gases · Physics 2026-05-01 Andrea Bardin , Francesco Lorenzi , Luca Salasnich

We present a theoretical study on the dynamical properties of three-dimensional arrays of Josephson junctions. Our results indicate that such superconducting networks represent highly sensitive 3D-SQUIDs having some major advantages in…

Superconductivity · Physics 2009-10-31 J. Oppenlaender , Ch. Haeussler , N. Schopohl