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We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts. Under appropriate conditions, Josephson junctions with phase-shifts can have a…

Pattern Formation and Solitons · Physics 2015-03-17 Amir Ali , Hadi Susanto , Jonathan Wattis

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…

Superconductivity · Physics 2009-11-10 V. Gurarie , A. M. Tsvelik

New resonance steps are found in the experimental current-voltage characteristics of long, discrete, one-dimensional Josephson junction arrays with open boundaries and in an external magnetic field. The junctions are underdamped, connected…

Superconductivity · Physics 2009-10-30 A. E. Duwel , S. Watanabe , E. Trias , T. P. Orlando , H. S. J. van der Zant , S. H. Strogatz

Multi-layered Josephson junctions are modeled in the context of a field theory, and dynamics of Josephson vortices trapped inside insulators are studied. Starting from a theory consisting of complex and real scalar fields coupled to a U(1)…

Superconductivity · Physics 2016-10-05 Toshiaki Fujimori , Hideaki Iida , Muneto Nitta

The Josephson junction is a building block of quantum circuits. Its behavior, well understood when treated as an isolated entity, is strongly affected by coupling to an electromagnetic environment. In 1983, Schmid predicted that a Josephson…

We have investigated numerically the phase--locking behavior of two-dimensional Josephson junction arrays,taking into account a finite inductance ($l\stackrel{>}{\sim}1$) of the unit cell and external magnetic fields. Within this model we…

Condensed Matter · Physics 2009-10-22 W. Krech , K. Yu. Platov

We study theoretically the electrical current and low-frequency noise for a linear Josephson junction structure on a topological insulator, in which the superconductor forms a closed ring and currents are injected from normal regions inside…

Mesoscale and Nanoscale Physics · Physics 2014-02-10 Benjamin J. Wieder , Fan Zhang , C. L. Kane

The collective behavior of the ensembles of coupled nonlinear oscillator is one of the most interesting and important problems in modern nonlinear dynamics. In this paper, we study rotational dynamics, in particular space-time structures,…

Chaotic Dynamics · Physics 2020-11-03 V. O. Munyaev , D. S. Khorkin , M. I. Bolotov , L. A. Smirnov , G. V. Osipov

Using the functional integral method, we construct a theory of heterotic SIS Josephson junctions between single- and two-gap superconductors. The theory predicts the presence of in-phase and out-of-phase collective oscillation modes of…

Superconductivity · Physics 2009-06-14 Yukihiro Ota , Masahiko Machida , Tomio Koyama , Hideki Matsumoto

In this work we study quantum phase transitions and persistent currents in capacitively coupled one-dimensional Josephson-junction arrays. We will focus particularly on the roles of exciton-like pairs in the strong coupling limit in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Minchul Lee , Mahn-Soo Choi , M. Y. Choi

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

The coherence of superconductivity and its suppression near a quantum phase transition is governed by the interplay between local pairing and macroscopic phase coherence. Using scanning SQUID, we image the local susceptibility in a hybrid…

Josephson junction (JJ) chains combine the coherence of superconductivity with the controllability of microwave-frequency circuits, making them a powerful platform for circuit quantum electrodynamics. In this work we consider a long JJ…

Superconductivity · Physics 2026-04-06 Lucia Vigliotti , Andrew P. Higginbotham , Maksym Serbyn

We discuss the local and nonlocal dissipation effects on the existence of the global phase coherence transitions in two dimensional Josephson-coupled junctions. The quantum phase transitions are also examined for various lattice geometries:…

Superconductivity · Physics 2015-05-13 T. P. Polak , T. K. Kopec

The interplay of interactions and disorder in low-dimensional superconductors supports the formation of multiple quantum phases, as possible instabilities of the Superconductor-Insulator Transition (SIT) at a singular quantum critical…

Superconductivity · Physics 2021-06-09 Eyal Walach , Efrat Shimshoni

Stacks of intrinsic Josephson junctions in the resistive state can by efficiently synchronized by the internal cavity mode resonantly excited by the Josephson oscillations. We study the stability of dynamic coherent states near the…

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

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

The coupling of Josephson oscillations in layered superconductors is studied with help of a tunneling Hamiltonian formalism. The general form of the current density across the barriers between the superconducting layers is derived. The…

Superconductivity · Physics 2015-06-25 Ch. Preis , Ch. Helm , J. Keller , A. Sergeev , R. Kleiner

A microscopic theory for the coupling of intrinsic Josephson oscillations due to charge fluctuations on the quasi two-dimensional superconducting layers is presented. Thereby in close analogy to the normal state the effect of the scalar…

Superconductivity · Physics 2009-10-31 Ch. Helm , J. Keller , Ch. Preis , A. Sergeev

Series arrays of Josephson junctions show evidence of a mode in which all the junctions oscillate in synchronism on voltage resonances appearing, in zero external magnetic field, at multiples of the fundamental Fiske step spacing. The…

Superconductivity · Physics 2008-11-27 I. Ottaviani , M. Cirillo , M. Lucci , V. Merlo , M. Salvato , M. G. Castellano , G. Torrioli , F. Mueller , T. Weimann
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