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Numerical investigation of the effects of junction geometry on the performance of the flux-flow type Josephson oscillator has been done. Using direct simulation of the sine-Gordon equation with account of RC load the spectral and power…

Superconductivity · Physics 2011-09-15 Leonid S. Revin , Andrey L. Pankratov

The flux-flow dynamics in a long Josephson junction is studied both analytically and numerically. A realistic model of the junction is considered by taking into account a nonuniform current distribution, surface losses and self-pumping…

Superconductivity · Physics 2013-05-29 Marek Jaworski

We study the phase diagram of a resistively shunted Josephson junction (RSJJ) in the framework of the boundary sine-Gordon model. Using the non-perturbative functional renormalization group (FRG) we find that the transition is not…

Superconductivity · Physics 2023-12-19 Romain Daviet , Nicolas Dupuis

We derive the radiation power from a single Josephson junction (JJ) and from layered superconductors in the flux-flow regime. For the JJ case we formulate the boundary conditions for the electric and magnetic fields at the edges of the…

Superconductivity · Physics 2007-05-23 L. N. Bulaevskii , A. E. Koshelev

The dynamics of overdamped Josephson junctions under varying microwave-driving conditions have been studied through numerical simulations using the resistively-shunted junction (RSJ) model, with a focus on primary voltage metrology…

Superconductivity · Physics 2025-08-19 Paolo Durandetto

Nonreciprocal microwave transmission through a long Josephson junction in the flux-flow regime is studied analytically and numerically within the framework of the perturbed sine-Gordon model. We demonstrate that the maximum attenuation of…

Superconductivity · Physics 2015-09-09 A. L. Pankratov , K. G. Fedorov , M. Salerno , S. V. Shitov , A. V. Ustinov

Quantum fluctuations in a current biased Josephson junction, described in terms of the RCSJ-model, are considered. The fluctuations of the voltage and phase across the junction are assumed to be initiated by equilibrium current fluctuations…

Superconductivity · Physics 2009-11-07 Y. Levinson

Using a new cluster Monte Carlo algorithm, we study the phase diagram and critical properties of an interacting pair of resistively shunted Josephson junctions. This system models tunneling between two electrodes through a small…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Philipp Werner , Gil Refael , Matthias Troyer

Magnetic flux quanta, of value h/2e, in long Josephson junctions behave as (quasi) solitons. Fluxon dynamical states are well described by a perturbed sine-Gordon equation model, with boundary conditions determined by the junction geometry…

patt-sol · Physics 2009-09-25 R. D. Parmentier

A zigzag boundary between a $d_{x^2-y^2}$ and an $s$-wave superconductor is believed to behave like a long Josephson junction with alternating sections of $0$ and $\pi$ symmetry. We calculate the field-dependent critical current of such a…

Superconductivity · Physics 2009-11-13 Ivan Tornes , David Stroud

Interaction of a fluxon in the two-dimensional large Josephson junction with the finite area inhomogeneity is studied within the sine-Gordon theory. The spectral density of the emitted plane waves is computed exactly for the rectangular and…

Superconductivity · Physics 2014-12-12 Ivan O. Starodub , Yaroslav Zolotaryuk

The fluxon dynamics in a long Josephson junction with a ferromagnetic insulating layer is investigated. It is found that the Josephson phase obeys a double sine-Gordon equation involving a bound pi fluxon solution, and the internal…

Superconductivity · Physics 2009-11-13 Munehiro Nishida , Kyoko Murata , Toshiyuki Fujii , Noriyuki Hatakenaka

Theoretical model for the radiation linewidth in a multi-fluxon state of a long Josephson junction is presented. Starting from the perturbed sine-Gordon model with the temperature dependent noise term, we develop a collective coordinate…

Condensed Matter · Physics 2015-06-25 A. A. Golubov , B. A. Malomed , A. V. Ustinov

We have fabricated and measured a high-Q Josephson junction resonator with a tunable resonance frequency. A dc magnetic flux allows the resonance frequency to be changed by over 10 %. Weak coupling to the environment allows a quality factor…

Superconductivity · Physics 2015-06-25 K. D. Osborn , J. A. Strong , A. J. Sirois , R. W. Simmonds

We propose the phase dynamics induced by spin waves in a superconductor/ferromagnet/superconductor (SC/FM/SC) Josephson junction. The resistively shunted junction (RSJ) model, which describes the dynamics of superconducting phase…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Hikino , M. Mori , S. Takahashi , S. Maekawa

We present a cluster algorithm for resistively shunted Josephson junctions and similar physical systems, which dramatically improves sampling efficiency. The algorithm combines local updates in Fourier space with rejection-free cluster…

Superconductivity · Physics 2007-05-23 Philipp Werner , Matthias Troyer

During the last fourteen years several exact results were obtained for the so-called boundary sine-Gordon model. In the case of a conformal bulk this 2D boundary quantum field theory describes the universal scaling behavior of the…

Other Condensed Matter · Physics 2010-12-17 Sergei L. Lukyanov , Philipp Werner

We analyze motion of a fluxon in a weakly damped ac-driven long Josephson junction with a periodically modulated maximum Josephson current density. We demonstrate both analytically and numerically that a pure {\it ac} bias current can drive…

patt-sol · Physics 2009-10-28 Giovanni Filatrella , Boris A. Malomed , Robert D. Parmentier

We present an electronic circuit whose dynamical properties emulate those of a resistively and capacitively shunted Josephson junction (RCSJ). We show how it reproduces the switching properties of a shunted junction and its dependence on…

Superconductivity · Physics 2021-12-01 Aeron McConnell , Sara Idris , Brian Opatosky , François Amet

Two-fluxon state in an annular Josephson junction in the presence of external magnetic field is studied analytically, numerically and experimentally. We obtain an analytical expression for the potential of interaction between the fluxons…

Superconductivity · Physics 2012-08-27 A. A. Abdumalikov, , B. A. Malomed , A. V. Ustinov
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