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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

Using Ginzburg-Landau theory, we find novel configurations of vortices in superconducting thin films subject to the magnetic field of a magnetic dot array, with dipole moments oriented perpendicular to the film. Sufficiently strong magnets…

Superconductivity · Physics 2009-11-10 D. J. Priour , H. A. Fertig

The vortex states in a thin mesoscopic disk are investigated within the phenomenological Ginzburg-Landau theory in the presence of different ''model'' magnetic field profiles with zero average field which may result from a ferromagnetic…

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

The influence of the geometry of a thin superconducting sample on the penetration of the magnetic field lines and the arrangement of vortices are investigated theoretically. We compare superconducting disks, squares and triangles with the…

Superconductivity · Physics 2009-11-07 B. J. Baelus , F. M. Peeters

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

The vortex states in a thin mesoscopic disk are investigated within the phenomenological Ginzburg-Landau theory in the presence of a step-like external magnetic field with zero average which could model the field resulting from a…

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

We have investigated vortex structures in three-dimensional superconductors under a helical magnetic field from a chiral helimagnet numerically. In order to obtain vortex structures, we solve three-dimensional Ginzburg-Landau equations with…

Superconductivity · Physics 2018-02-28 Saoto Fukui , Masaru Kato , Yoshihiko Togawa , Osamu Sato

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 develop the Ginzburg-Landau theory of the vortex lattice in clean isotropic three-dimensional superconductors at large Maki parameter, when inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov state is favored. We show that diamagnetic…

Superconductivity · Physics 2015-03-31 M. Houzet , V. P. Mineev

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

Vortices carrying fractions of a flux quantum are predicted to exist in multiband superconductors, where vortex core can split between multiple band-specific components of the superconducting condensate. Using the two-component…

Superconductivity · Physics 2015-07-22 R. M. da Silva , M. V. Milošević , D. Domínguez , F. M. Peeters , J. Albino Aguiar

The Ginzburg-Landau equations are solved for ideally periodic vortex lattices in superconducting films of arbitrary thickness in a perpendicular magnetic field. The order parameter, current density, magnetic moment, and the 3-dimensional…

Superconductivity · Physics 2009-11-10 Ernst Helmut Brandt

The quantization of magnetic flux in superconductors is usually seen as vortices penetrating the sample. While vortices are unstable in bulk type I superconductors, restricting the superconductor causes a variety of vortex structures to…

Superconductivity · Physics 2013-09-27 Heikki Palonen , Juha Jäykkä , Petriina Paturi

The properties of a vortex in a rotating superfluid Fermi gas are studied in the unitary limit. A phenomenological approach based on Ginzburg-Landau theory is developed for this purpose. The density profiles, including those of the normal…

Other Condensed Matter · Physics 2009-11-11 Meng Gao , Hongyu Wu , Lan Yin

Novel vortex structures are found when a thin superconducting film (SC) is covered with a lattice of out-of-plane magnetized magnetic dots (MDs). The stray magnetic field of the dots confines the vortices to the MD regions, surrounded by…

Superconductivity · Physics 2015-06-25 M. V. Milosevic , F. M. Peeters

In type-II superconductors, the dynamics of superconducting vortices determine their transport properties. In the Ginzburg-Landau theory, vortices correspond to topological defects in the complex order parameter. Extracting their precise…

Superconductivity · Physics 2015-06-23 C. L. Phillips , T. Peterka , D. Karpeyev , A. Glatz

Using a Ginzburg-Landau model, we study the vortex behavior of a rectangular thin film superconductor subjected to an applied current fed into a portion of the sides and an applied magnetic field directed orthogonal to the film. Through a…

Analysis of PDEs · Mathematics 2015-06-12 Lydia Peres Hari , Jacob Rubinstein , Peter Sternberg

The superconducting state of a thin superconducting disk with a hole is studied within the non-linear Ginzburg-Landau theory in which the demagnetization effect is accurately taken into account. We find that the flux through the hole is not…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. J. Baelus , F. M. Peeters , V. A. Schweigert

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…

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
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