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We consider theoretically and numerically magnetic field dependencies of the maximum supercurrent across Josephson tunnel junctions with spatially alternating critical current density. We find that two flux-penetration fields and…

Superconductivity · Physics 2009-11-13 Maayan Moshe , C. W. Schneider , G. Bensky , R. G. Mints

We study the proximity effect between conventional superconductor and magnetic normal metal with a spin-orbit interaction of the Rashba type. Using the phenomenological Ginzburg-Landau theory and the quasiclassical Eilenberger approach it…

Superconductivity · Physics 2009-11-13 A. Buzdin

Within the phenomenological Ginzburg-Landau theory, we demonstrate the enhancement of superconductivity in a superconducting film, when nanostructured by a lattice of magnetic particles. Arrays of out-of-plane magnetized dots (MDs) extend…

Superconductivity · Physics 2009-11-11 M. V. Milosevic , F. M. Peeters

The crossover between ideal Josephson behavior and uniform superconducting flow is studied by solving exactly the Ginzburg-Landau equation for a one-dimensional superconductor in the presence of an effective delta function potential of…

Condensed Matter · Physics 2009-10-22 Fernando Sols , Jaime Ferrer

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 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

The Ginzburg-Landau equations were proposed in the superconductivity theory to describe mathematically the intermediate state of superconductors in which the normal conductivity is mixed with the superconductivity. It was understood later…

Mathematical Physics · Physics 2022-09-02 Armen Sergeev

Superconductivity in the presence of a step magnetic field has been recently the focus of many works. This contribution examines the behavior of a two-dimensional superconducting domain, when superconductivity is lost in the whole domain…

Mathematical Physics · Physics 2020-10-28 Wafaa Assaad

We analyze the properties of flat-band superconductor junctions that behave differently from ordinary junctions containing only metals with Fermi surfaces. In particular, we show how in the tunneling limit the critical Josephson current…

Superconductivity · Physics 2025-09-08 P. Virtanen , R. P. S. Penttilä , P. Törmä , A. Díez-Carlón , D. K. Efetov , T. T. Heikkilä

Vortex structures in mesoscopic cylinder placed in external magnetic field are studied under the general de Gennes boundary condition for the order parameter corresponding to the suppression of surface superconductivity. The Ginzburg-Landau…

Superconductivity · Physics 2009-11-07 W. V. Pogosov

Topological superconductivity holds promise for fault-tolerant quantum computing. While planar Josephson junctions are attractive candidates to realize this exotic state, direct phase-measurements as the fingerprint of the topological…

The development of superconducting memory and logic based on magnetic Josephson junctions relies on an understanding of junction properties and, in particular, the dependence of critical current on external magnetic flux (i.e. Fraunhofer…

Superconductivity · Physics 2019-03-19 Bence Börcsök , Sachio Komori , Alexander Buzdin , Jason Robinson

We analyze the response of a type II superconducting wire to an external magnetic field parallel to it in the framework of Ginzburg-Landau theory. We focus on the surface superconductivity regime of applied field between the second and…

Superconductivity · Physics 2017-12-06 Michele Correggi , Bharathiganesh Devanarayanan , Nicolas Rougerie

In superconductors, vortices induced by a magnetic field are nucleated randomly due to some random fluctuations or pinned by impurities or boundaries, impeding the development of vortex based quantum devices. Here, we propose a…

Superconductivity · Physics 2022-07-13 T. Okugawa , S. Park , P. Recher , D. M. Kennes

We theoretically study topological superconductivity in elongated planar Josephson junctions. In the presence of spin-orbit coupling and an in-plane magnetic field, the Josephson junction can enter the topological phase and host zero-energy…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 D. Kuiri , P. Wójcik , M. P. Nowak

A planar Josephson junction is a versatile platform to realize topological superconductivity over a large parameter space and host Majorana bound states. With a change in Zeeman field, this system undergoes a transition from trivial to…

Mesoscale and Nanoscale Physics · Physics 2024-07-25 Barış Pekerten , David Brandão , Bailey Bussiere , David Monroe , Tong Zhou , Jong E. Han , Javad Shabani , Alex Matos-Abiague , Igor Žutić

We theoretically investigate the mapping of the supercurrent distribution in a planar superconductor-normal-superconductor junction in the presence of a perpendicular magnetic field via the scanning gate microscopy technique. We find that…

Mesoscale and Nanoscale Physics · Physics 2022-08-23 K. Kaperek , S. Heun , M. Carrega , P. Wójcik , M. P. Nowak

Zurek has provided simple causal bounds for the onset of phase transitions in condensed matter, that mirror those proposed by Kibble for relativistic quantum field theory. In this paper we show how earlier experiments with annular Josephson…

Condensed Matter · Physics 2007-05-23 Roberto Monaco , Ray Rivers , Eleftheria Kavoussanaki

Superconductivity for Type II superconductors in external magnetic fields of magnitude between the second and third critical fields is known to be restricted to a narrow boundary region. The profile of the superconducting order parameter in…

Spectral Theory · Mathematics 2010-05-27 Søren Fournais , Bernard Helffer , Mikael Persson

Recent theoretical work has derived the correct form of the Ginzburg-Landau differential equations, for the superconducting order parameter and vector potential, in the presence of a small defect. Here, these equations are applied to the…

Superconductivity · Physics 2009-10-30 Mark Friesen , Paul Muzikar