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We investigate the dynamics of magnetic vortices in type II superconductors with normal state pinning sites using the Ginzburg-Landau equations. Simulation results demonstrate hopping of vortices between pinning sites, influenced by…

Superconductivity · Physics 2017-06-14 M. P. Soerensen , N. F. Pedersen , M. Ogren

At the nucleus of a superconducting vortex is a small, circular region where superconductivity is destroyed. Like an atomic nucleus, this core may become deformed, and such distortions can have important consequences in non-equilibrium…

Superconductivity · Physics 2007-05-23 D. J. Priour , H. A. Fertig

Proposed approaches to topological quantum computation based on Majorana bound states may enable new paths to fault-tolerant quantum computing. Several recent experiments have suggested that the vortex cores of topological superconductors,…

Superconductivity · Physics 2021-09-08 Chengyun Hua , Gábor B. Halász , Eugene Dumitrescu , Matthew Brahlek , Benjamin Lawrie

Within the Ginzburg-Landau formalism, we predict two novel mechanisms of vortex-antivortex nucleation in a magnetically nanostructured superconductor. Although counterintuitive, nucleation of vortex-antivortex pairs can be activated in a…

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

We propose theoretically an effective scheme for braiding Majorana bound states by manipulating the point potential. The vortex pinning effect is carefully elucidated. This effect may be used to control the vortices and Majorana bound…

Superconductivity · Physics 2017-11-15 Hai-Dan Wu , Tao Zhou

In superconductors, the motion of vortices introduces unwanted dissipation that is disruptive to applications. Fortunately, material defects can immobilize vortices, acting as vortex pinning centers, which engenders dramatic improvements in…

Superconductivity · Physics 2021-09-14 Serena Eley , Andreas Glatz , Roland Willa

This paper studies questions related to the dynamic transition between local and global minimizers in the Ginzburg-Landau theory of superconductivity. We derive a heuristic equation governing the dynamics of vortices that are close to the…

Analysis of PDEs · Mathematics 2017-06-07 Gautam Iyer , Daniel Spirn

We demonstrate that there is a long-range vortex-vortex attraction in ferromagnetic superconductors due to polarization of the magnetic moments. Vortex clusters are then stabilized in the ground state for low vortex densities. The motion of…

Superconductivity · Physics 2012-11-29 Shi-Zeng Lin , Lev N. Bulaevskii , Cristian D. Batista

This paper is devoted to an analysis of vortex-nucleation for a Ginzburg-Landau functional with discontinuous constraint. This functional has been proposed as a model for vortex-pinning, and usually accounts for the energy resulting from…

Analysis of PDEs · Mathematics 2007-11-28 Ayman Kachmar

Within the non-linear Ginzburg-Landau (GL) theory, we investigate the vortex structure in a superconducting thin film with a ferromagnetic disk on top of it. Antivortices are stabilized in shells around a central core of vortices (or a…

Superconductivity · Physics 2009-11-07 M. V. Milosevic , F. M. Peeters

We discuss a new class of phenomena based on strong interaction between magnetic superstructures and vortices in superconductors in combined heterogeneous structures. An inhomogeneous magnetization can pin vortices or create them…

Materials Science · Physics 2007-05-23 Igor F. Lyuksyutov , Valery Pokrovsky

We study the vortex formation in extreme type-II superconductors immersed in strong magnetic fields in the framework of the the Ginzburg-Landau theory. We focus on the regime where superconductivity survives in the bulk of the material but…

Mathematical Physics · Physics 2025-08-18 M. Correggi , A. Kachmar

Using Ginzburg-Landau theory, we have performed detailed studies of vortices in the presence of artificial defect arrays, for a thin film geometry. We show that when a vortex approaches the vicinity of a defect, an abrupt transition occurs…

Superconductivity · Physics 2009-11-07 D. J. Priour , H. A. Fertig

Vortex is a topological defect in the superconducting condensate when a magnetic field is applied to a type-II superconductor, as elucidated by the Ginzburg-Landau theory. Due to the confinement of the quasiparticles by a vortex, it…

Superconducting vortex loops have so far avoided experimental detection despite being the focus of much theoretical work. We here propose a method of creating controllable vortex loops in the superconducting condensate arising in a normal…

Superconductivity · Physics 2020-10-30 Eirik Holm Fyhn , Jacob Linder

Superconducting materials with noncentrosymmetric lattices lacking space inversion symmetry exhibit a variety of interesting parity-breaking phenomena, including the magneto-electric effect, spin-polarized currents, helical states, and the…

Superconductivity · Physics 2020-11-30 Julien Garaud , Maxim N. Chernodub , Dmitri E. Kharzeev

Spin-triplet Cooper pairs induced in ferromagnets form the centrepiece of the emerging field of superconducting spintronics [1,2]. Usually the focus of research is on the spin polarization of the triplets, potentially enabling…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Kaveh Lahabi , Morten Amundsen , Jabir Ali Ouassou , Ewout Beukers , Menno Pleijster , Jacob Linder , Paul Alkemade , Jan Aarts

A quantum-mechanical model for the interaction of Josephson vortices (fluxons) embedded in superconducting transmission line is presented. The vortices interact through emission and absorption of linear waves (electromagnetic cavity modes).…

Superconductivity · Physics 2009-11-10 M. V. Fistul , A. V. Ustinov

A new class of artificial atoms, such as synthetic nanocrystals or vortices in superconductors, naturally self-assemble into ordered arrays. This property makes them applicable to the design of novel solids, and devices whose properties…

Statistical Mechanics · Physics 2015-06-24 M. -Carmen Miguel , Stefano Zapperi

The properties of vortices in Josephson junction arrays are investigated in the quantum regime near the superconductor-insulator transition. We derive and study an effective action for vortex dynamics that is valid in the region where the…

Condensed Matter · Physics 2009-10-22 Anne van Otterlo , Rosario Fazio