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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

Josephson current between two d-wave superconductors is calculated by using a lattice model. Here we consider two types of junctions, $i.e.$, the parallel junction and the mirror-type junction. The maximum Josephson current $(J_{c})$ shows…

Superconductivity · Physics 2009-11-10 S. Shirai , H. Tsuchiura , Y. Asano , Y. Tanaka , J. Inoue , Y. Tanuma , S. Kashiwaya

We study the Josephson effect in small one-dimensional (1D) Josephson junction arrays. For weak Josephson tunneling, topologically different regions in the charge-stability diagram generate distinct current-phase relationships (I$\Phi$). We…

Mesoscale and Nanoscale Physics · Physics 2008-08-28 Jens Koch , Karyn Le Hur

Quasiparticle poisoning and diabatic transitions may significantly narrow the window for the experimental observation of the $4\pi$-periodic $dc$ Josephson effect predicted for topological Josephson junctions. Here, we show that switching…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 Yang Peng , Falko Pientka , Erez Berg , Yuval Oreg , Felix von Oppen

We numerically investigate the intriguing effects produced by random percolative disorder in two-dimensional Josephson-junction arrays. By dynamic scaling analysis, we evaluate critical temperatures and critical exponents with high…

Superconductivity · Physics 2009-03-17 Jian-Ping Lv , Huan Liu , Qing-Hu Chen

We study theoretically the Josephson effect in junctions based on unconventional superconductors with diffusive barriers, using the quasiclassical Green's function formalism. Generalized boundary conditions at junction interfaces applicable…

Superconductivity · Physics 2009-11-11 T. Yokoyama , Y. Tanaka , A. A. Golubov

We derive an effective quantum Josephson array model for a weakly interacting one-dimensional condensate that is fragmented into weakly coupled puddles by a disorder potential. The distribution of coupling constants, obtained from first…

Disordered Systems and Neural Networks · Physics 2015-03-19 Ronen Vosk , Ehud Altman

The Josephson current in the presence of a precessing spin between various types of superconductors is studied. It is shown that the Josephson current flowing between two spin-singlet pairing superconductors is not modulated by the…

Superconductivity · Physics 2009-11-07 Jian-Xin Zhu , A. V. Balatsky

We consider a Josephson junction with an arbitrary transmission coefficient $\mathcal{D}$ between a singlet and a triplet superconductor with the latter order parameter characterized by a d-vector of the form ($k_x\hat{y}-k_y\hat{x}$).…

Superconductivity · Physics 2011-04-11 Chi-Ken Lu , Sungkit Yip

We have developed a model for experiments in which the bias current applied to a Josephson junction is slowly increased from zero until the junction switches from its superconducting zero-voltage state, and the bias value at which this…

Statistical Mechanics · Physics 2012-03-06 James A. Blackburn , Matteo Cirillo , Niels Grønbech-Jensen

We establish a one-to-one mapping between a model for hexagonal polyelectrolyte bundles and a model for two-dimensional, frustrated Josephson-junction arrays. We find that the T=0 insulator-to-superconductor transition of the {\it quantum}…

Soft Condensed Matter · Physics 2009-11-11 Gregory M. Grason , Robijn F. Bruinsma

We consider a two-dimensional fully frustrated Josephson-junction array driven by combined direct and alternating currents. Interplay between the mode locking phenomenon, manifested by giant Shapiro steps in the current-voltage…

Superconductivity · Physics 2009-11-10 J. S. Lim , M. Y. Choi , J. Choi , B. J. Kim

Superconducting quantum circuits based on Josephson junctions have made rapid progress in demonstrating quantum behavior and scalability. However, the future prospects ultimately depend upon the intrinsic coherence of Josephson junctions,…

We have made a systematic investigation of charge transport in 1D chains of Josephson junctions where the characteristic Josephson energy is much less than the single-island Cooper-pair charging energy, $E_\mathrm{J}\ll E_{CP}$. Such chains…

Superconductivity · Physics 2015-09-30 K. Cedergren , S. Kafanov , J-L. Smirr , J. H. Cole , T. Duty

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

We investigated decoherence of a Josephson vortex quantum bit (qubit) in dissipative and noisy environment. As the Josephson vortex qubit (JVQ) is fabricated by using a long Josephson junction (LJJ), we use the perturbed sine-Gordon…

Superconductivity · Physics 2009-11-11 Ju H. Kim , Ramesh P. Dhungana , Kee-Su Park

We derive dynamical equations for a Josephson array coupled to a resonant cavity by applying the Heisenberg equations of motion to a model Hamiltonian described by us earlier [Phys. Rev. B {\bf 63}, 144522 (2001); Phys. Rev. B {\bf 64},…

Superconductivity · Physics 2009-11-07 E. Almaas , D. Stroud

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

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…

Superconducting order in a sufficiently narrow and infinitely long wire is destroyed at zero temperature by quantum fluctuations, which induce $2\pi$ slips of the phase of the order parameter. However, in a finite-length wire coherent…