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We present an experimental and theoretical study of the magnetic field dependence of the critical current of Josephson junction ladders. At variance with the well-known case of a one-dimensional (1D) parallel array of Josephson junctions…

Superconductivity · Physics 2009-10-31 P. Binder , P. Caputo , M. V. Fistul , A. V. Ustinov , G. Filatrella

We present analytical and numerical studies of pinned superconducting states of open-ended Josephson ladder arrays, neglecting inductances but taking edge effects into account. Treating the edge effects perturbatively, we find analytical…

Superconductivity · Physics 2009-10-30 Mauricio Barahona , Steven H. Strogatz , Terry P. Orlando

Specific features of the equilibrium current-carrying state of a Josephson tunnel junction between diffusive superconductors are studied theoretically in the 1D geometry. It is found that the Josephson current induces localized states of…

Superconductivity · Physics 2014-12-03 E. V. Bezuglyi , E. N. Bratus' , V. P. Galaiko

We study the microscopic structure of the Josephson current in a single-mode tunnel junction with a wide quasiclassical tunnel barrier. In such a junction each Andreev bound state carries a current of magnitude proportional to the {\em…

Condensed Matter · Physics 2009-10-28 G. Wendin , V. S. Shumeiko

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 numerically investigate the ground state of the extended $t$-$J$ Hamiltonian with periodic local modulations in one dimension by using the density-matrix renormalization group method. Examining charge and spin excitation gaps, as well as…

Strongly Correlated Electrons · Physics 2023-07-12 Yong-Feng Yang , Jing Chen , Chen Cheng , Hong-Gang Luo

We study Josephson junctions between superconductors connected through the helical edge states of a two-dimensional topological insulator in the presence of a magnetic barrier. As the equilibrium Andreev bound states of the junction are…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Driss M. Badiane , Manuel Houzet , Julia S. Meyer

We theoretically investigate the transport properties of Josephson junctions composed of superconductor/minimally twisted bilayer graphene/superconductor structures. In the presence of an out-of-plane electric field, the low energy physics…

Mesoscale and Nanoscale Physics · Physics 2025-02-18 Ritajit Kundu , Arijit Kundu

We study theoretically the Josephson current-phase relationship in a chaotic quantum dot coupled to superconductors by ballistic contacts. In this regime, strong proximity effect induces superconductivity in the quantum dot that leads to a…

Superconductivity · Physics 2018-06-27 Colin M. Whisler , Maxim G. Vavilov , Alex Levchenko

We consider a long topological Josephson junction formed on a conducting 2D surface of a 3D topological insulator (TI). The superconducting correlations are proximity-induced by s-wave superconductors covering the surface. The 1D spacing…

Superconductivity · Physics 2021-03-24 Stefan Backens , Alexander Shnirman

We study the phase diagram at finite temperature of Josephson junction arrays with capacitive disorder (i.e., random offset charges and/or random charging energies): in the limit of large particle numbers per junction, this is a remarkable…

Superconductivity · Physics 2007-05-23 F. P. Mancini , P. Sodano , A. Trombettoni

The observation of Josephson current in the quantum Hall regime has attracted considerable attention, revealing the coexistence of two seemingly incompatible phases: the quantum Hall and superconducting states. However, the mechanism…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Seong Jang , Geon-Hyoung Park , Kenji Watanabe , Takashi Taniguchi , Gil-Ho Lee

We develop a detailed microscopic theory describing dc Josephson effect and Andreev bound states in superconducting junctions with a half-metal. In such systems the supercurrent is caused by triplet pairing states emerging due to spin-flip…

Superconductivity · Physics 2008-03-29 Artem V. Galaktionov , Mikhail S. Kalenkov , Andrei D. Zaikin

Planar Josephson junctions (JJs) have emerged as a promising platform for the realization of topological superconductivity and Majorana zero modes. To obtain robust quasi one-dimensional (1D) topological superconducting states using planar…

We study superconducting quantum interference in a Josephson junction linked via edge states in two-dimensional (2D) insulators. We consider two scenarios in which the 2D insulator is either a topological or a trivial insulator supporting…

Mesoscale and Nanoscale Physics · Physics 2022-08-16 Tamás Haidekker Galambos , Silas Hoffman , Patrik Recher , Jelena Klinovaja , Daniel Loss

We discuss some of the basic theoretical aspects of current-carrying states in superconducting superlattices with tunnel barriers in the mesoscopic regime, when the superconducting layer thickness is small compared to the BCS coherence…

Condensed Matter · Physics 2009-10-31 S. V. Kuplevakhsky , A. V. Naduev , S. V. Naydenov

The Josephson current between d-wave superconductors is investigated in the framework of tight-binding lattice model. The junction is modelled by a small number of connecting bonds. It is obtained that the Josephson current through one bond…

Superconductivity · Physics 2007-05-23 A. M. Bobkov

We study the stationary Josephson current in a junction between a topological and an ordinary (topologically trivial) superconductor. Such an S-TS junction hosts a Majorana zero mode that significantly influences the current-phase relation.…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 P. A. Ioselevich , P. M. Ostrovsky , M. V. Feigelman

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

Josephson junctions enable dissipation-less electrical current through metals and insulators below a critical current. Despite being central to quantum technology based on superconducting quantum bits and fundamental research into…

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