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We calculate the dc Josephson current $I_J$ for two types of superconductor-ferromagnet (S/F) Josephson junctions. The junction of the first type is a S/F/S junction. On the basis of the Eilenberger equation, the Josephson current is…

Superconductivity · Physics 2009-11-07 F. S. Bergeret , A. F. Volkov , K. B. Efetov

We analyze the dynamics of a magnetic flux quantum (current vortex) trapped in a current-biased long planar elliptic annular Josephson tunnel junction. The system is modeled by a perturbed sine-Gordon equation that determines the spatial…

Superconductivity · Physics 2016-01-20 Roberto Monaco , Jesper Mygind

We study the physical properties of an $s$-wave -- normal metal -- $d$-wave junction in terms of the Andreev bound states in the normal metal layer. The phase dependence of bound states with different orientations leads to superconducting…

Superconductivity · Physics 2016-08-15 Andrea Huck , Anne van Otterlo , Manfred Sigrist

We predict that the Josephson current in a clean s-wave superconductor-normal metal-d-wave superconductor junction is periodic in superconducting phase difference $\phi$ with period $\pi$ instead of $2\pi$. The frequency of non-stationary…

Superconductivity · Physics 2009-10-30 Alexandre M. Zagoskin

Planar Josephson junctions in a magnetic field exhibit the superconducting diode effect, by which the critical current magnitude depends on the polarity of the transport current. A number of different mechanisms for the effect have been…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 William F. Schiela , Melissa Mikalsen , William M. Strickland , Javad Shabani

The phenomenology of Josephson tunnel junctions between unconventional superconductors is developed further. In contrast to s-wave superconductors, for d-wave superconductors the direction dependence of the tunnel matrix elements that…

Condensed Matter · Physics 2009-10-22 C. Bruder , A. van Otterlo , G. T. Zimanyi

In a standard Josephson junction the current is zero when the phase difference between the superconducting leads is zero. This condition is protected by parity and time-reversal symmetries. However, the combined presence of spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2020-01-14 William Mayer , Matthieu C. Dartiailh , Joseph Yuan , Kaushini S. Wickramasinghe , Enrico Rossi , Javad Shabani

The s+- state in which order parameter has different signs in different bands is a leading candidate for the superconducting state in the iron based superconductors. We investigate a Josephson junction between s and s+- superconductors…

Superconductivity · Physics 2012-12-17 A. E. Koshelev

We show that multiband superconductors with broken time-reversal symmetry can produce spontaneous currents and magnetic fields in response to the local variations of pairing constants. Considering the iron pnictide superconductor…

Superconductivity · Physics 2018-09-11 V. L. Vadimov , M. A. Silaev

The minimal length of ``one-dimensional'' Josephson junctions, in which the specific bound states of the magnetic flux retain their stability is discussed numerically. Thereby, we consider as ``long'' every Josephson junction, in which…

Superconductivity · Physics 2025-10-20 T. L. Boyadjiev , M. D. Todorov

We explore vortex dynamics in a two-dimensional Josephson junction array of micron-size superconducting islands fabricated from an epitaxial Al/InAs superconductor-semiconductor heterostructure, with a global top gate controlling Josephson…

Superconductivity · Physics 2025-10-22 C. G. L. Bøttcher , F. Nichele , J. Shabani , C. J. Palmstrøm , C. M. Marcus

In the context of hybrid superconductor-semiconductor systems, Josephson junctions based on two-dimensional materials, such as graphene, offer promising opportunities because of their scalability and gate-tunable electronic properties. In…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 V. Varrica , G. Falci , E. Paladino , F. M. D. Pellegrino

Two-dimensional Josephson junction arrays frustrated by a perpendicular magnetic field are predicted to form a cascade of distinct vortex lattice states. Here, we show that the resistivity tensor provides both structural and dynamical…

Superconductivity · Physics 2024-01-11 Alexander-Georg Penner , Karsten Flensberg , Leonid I. Glazman , Felix von Oppen

In this letter we present a simple relation, that allows one to predict the Josephson current between two unconventional superconductors with arbitrary band-structure and pairing symmetry. We illustrate this relation with examples of s-wave…

Condensed Matter · Physics 2008-02-03 Supriyo Datta , Manoj P. Samanta

An exact solution of the nonlinear nonlocal diffusion problem is obtained that describes the evolution of the magnetic flux injected into a soft or hard type-II superconductor film or a two-dimensional Josephson junction array. (The…

Condensed Matter · Physics 2007-05-23 S. N. Dorogovtsev

$ $The critical current of a Josephson junction is an oscillatory function of the enclosed magnetic flux $\Phi$, because of quantum interference modulated with periodicity $h/2e$. We calculate these Fraunhofer oscillations in a…

Superconductivity · Physics 2016-09-21 V. P. Ostroukh , B. Baxevanis , A. R. Akhmerov , C. W. J. Beenakker

The inverse proximity effect, i.e. the induction of a magnetic moment in the superconductor in superconductor-ferromagnet (S/F) junctions is studied theoretically. We present a microscopic approach which combines a model Hamiltonian with…

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

An effective free energy of a two dimensional (i.e. large area) Josephson Junctions is derived, allowing for thermal fluctuations, for random magnetic fields and for external currents. We show by using replica symmetry breaking methods,…

Superconductivity · Physics 2009-10-30 Baruch Horovitz , Anatoly Golub

We have studied experimentally the magnetic field-induced superconductor-insulator quantum phase transition in one-dimensional arrays of small Josephson junctions. The zero bias resistance was found to display a drastic change upon…

Superconductivity · Physics 2013-05-29 Watson Kuo , C. D. Chen

The Josephson effect is a hallmark signature of the superconducting state, which, however, has been sparsely explored in non-crystalline superconducting materials. Motivated by this, we consider a Josephson junction consisting of two…

Superconductivity · Physics 2024-09-04 Morten Amundsen , Vladimir Juričić , Jabir Ali Ouassou
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