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Making use of the extended Ginzburg Landau theory, which includes the fourth order derivative term, we study the vortex state in a magnetic field parallel to the $ c$ axis. The vortex core structure is distorted due to this higher order…

Condensed Matter · Physics 2009-09-25 Jun'ichi Shiraishi , Mahito Kohmoto , Kazumi Maki

We study vortices in p-wave superconductors in a Ginzburg-Landau setting. The state of the superconductor is described by a pair of complex wave functions, and the p-wave symmetric energy functional couples these in both the kinetic…

Analysis of PDEs · Mathematics 2014-11-18 Stan Alama , Lia Bronsard , Xavier Lamy

The criticism of Babaev and Silaev notwithstanding, we conclude that our analysis is correct. We have found in our papers on two-band superconductors close to Tc, where the Ginzburg-Landau (GL) theory applies, that these materials are…

Superconductivity · Physics 2013-05-30 V. G. Kogan , Joerg Schmalian

Within the framework of the time-dependent Ginzburg-Landau theory we show that circularly polarized THz or far-infrared radiation induces a dc supercurrent that influences the dynamics of vortex-antivortex pair formation in a mesoscopic…

Superconductivity · Physics 2023-01-31 V. D. Plastovets , I. D. Tokman , B. Lounis , A. S. Mel'nikov , A. I. Buzdin

Intermediate state (IS) flux structures in mesoscopic type-I superconductors are investigated within the Ginzburg-Landau theory. In addition to well-established tubular and laminar structures, the strong confinement leads to the formation…

Superconductivity · Physics 2012-02-15 G. R. Berdiyorov , A. D. Hernandez , F. M. Peeters

We study the Ginzburg-Landau equations in order to describe a two-dimensional superconductor in a bounded domain. Using the properties of a particular integrability point ($\kappa = 1/ \sqrt2$) of these nonlinear equations which allows…

Superconductivity · Physics 2009-10-31 E. Akkermans , K. Mallick

We study the two-dimensional Ginzburg-Landau model of a neutral superfluid in the vicinity of the vortex unbinding transition. The model is mapped onto an effective interacting vortex gas by a systematic perturbative elimination of all…

Condensed Matter · Physics 2009-10-22 Dierk Bormann , Hans Beck

The superconducting diode effect (SDE) is a key nonreciprocal phenomenon with broad relevance for superconducting electronics. Using time-dependent Ginzburg-Landau simulations, we predict and quantify a superconducting diode effect arising…

Superconductivity · Physics 2025-12-18 Axel J. M. Deenen , Dirk Grundler

We study the dynamics of vortices in d-wave superconductors using a phenomenological time-dependent Ginzburg-Landau equation with mixing of s- and d-wave components. We present numerical simulations under an external driving current $J$…

Superconductivity · Physics 2016-08-31 J. J. Vicente Alvarez , D. Dominguez , C. A. Balseiro

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

Within the framework of the generalized time-dependent Ginzburg-Landau equations, we studied the influence of the magnetic self-field induced by the currents inside a superconducting sample driven by an applied transport current. The…

Superconductivity · Physics 2020-06-03 Leonardo Rodrigues Cadorim , Alexssandre de Oliveira Junior , Edson Sardella

Using a linear analysis, we study the stability of giant-vortex states in very thin disks. The vortex expulsion and penetration fields are obtained for finite thickness disks from a numerical solution of the non-linear Ginzburg-Landau (GL)…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 V. A. Schweigert , F. M. Peeters

In this work we explore the interplay between superconductivity and nematicity in the framework of a Ginzburg Landau theory with a nematic order parameter coupled to the superconductor order parameter, often used in the description of…

The Ginzburg-Landau equations play a key role in superconductivity and particle physics. They inspired many imitations in other areas of physics. These equations have two remarkable classes of solutions -- vortices and (Abrikosov) vortex…

Mathematical Physics · Physics 2016-08-15 Israel Michael Sigal , Tim Tzaneteas

We theoretically investigate the magnetic response on a three-dimensional superconducting nanobridge system, which is compound of two parallel parallelepiped (samples) connected through a nanobridge of size $\mathbf{L}$ and thickness…

Superconductivity · Physics 2024-08-29 C. A. Aguirre , J. Faundez , P. Diaz , D. Laroze , A. S. Mosquera Polo , N. C. Costa , J. Barba-Ortega

Various superconducting lattices were simulated and can be treated as lattices of superconducting atoms with preimposed symmetry in 1, 2 and 3 dimensions. Hybrid Schroedinger-Ginzburg-Landau approach is based on the fact of the mathematical…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Bartosz Stojewski , Krzysztof Pomorski

A superconducting rod with a magnetic moment on top develops vortices obtained here through 3D calculations of the Ginzburg-Landau theory. The inhomogeneity of the applied field brings new properties to the vortex patterns that vary…

Superconductivity · Physics 2015-05-14 Antonio R. de C. Romaguera , Mauro M. Doria , F. M. Peeters

We study the interaction between the vortices in multi components superconductors based on the Jacobs and Rebbi variation method using Ginzburg-Landau theory. With one condensation, we get attraction interaction between the vortices for…

Superconductivity · Physics 2014-11-11 Hadi Lookzadeh , S. Deldar

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

Breaking of time-reversal and point-group spatial symmetries can have a profound impact on superconductivity. One of the most extraordinary effects, due to the application of a magnetic field, is represented by the Abrikosov vortices with…

Superconductivity · Physics 2022-04-21 Maria Teresa Mercaldo , Carmine Ortix , Francesco Giazotto , Mario Cuoco