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The magnetic vortices in superconductors usually repel each other. Several cases are discussed when the vortex interaction has an attractive tail and thus a minimum, leading to vortex clusters and chains. Decoration pictures then typically…

Superconductivity · Physics 2010-07-08 Ernst Helmut Brandt , Mukunda P. Das

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

Multi-band superconductors in which frustrated inter-band couplings yield a time-reversal-symmetry breaking (TRSB) state are investigated. Stability condition for the TRSB state are derived based on the Bardeen-Cooper-Schrieffer (BCS)…

Superconductivity · Physics 2015-06-17 Y. Takahashi , Z. Huang , X. Hu

Motivated by the superconductivity of $M_x$Bi$_2$Se$_3$, we study topological excitations in a nematic superconductor using Ginzburg-Landau theory. An isolated excitation at low field is shown to be either a distorted phase vortex or a…

Superconductivity · Physics 2020-11-11 Pye Ton How , Sung-Kit Yip

In superconductors with large values of the Ginzburg-Landau parameter, exposed to magnetic fields close to the upper critical field, the magnetic field is practically homogeneous across the sample and the density of supercurrents is…

Superconductivity · Physics 2009-11-07 I. L. Landau , H. R. Ott

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 predict that in a bulk type-1.5 superconductor the competing magnetic responses of the two components of the order parameter can result in a vortex interaction that generates group-stabilized giant vortices and unusual vortex rings in…

Superconductivity · Physics 2011-04-20 V. H. Dao , L. F. Chibotaru , T. Nishio , V. V. Moshchalkov

We study the properties of vortex solutions and magnetic response of two-component $U(1)\times U(1)\times\mathbb{Z}_2$ superconductors, with phase separation driven by intercomponent density-density interaction. Such a theory can be viewed…

Superconductivity · Physics 2015-01-06 Julien Garaud , Egor Babaev

Solving numerically the 3D non linear Ginzburg-Landau (GL) equations, we study equilibrium and nonequilibrium phase transitions between different superconducting states of mesoscopic disks which are thinner than the coherence length and the…

Superconductivity · Physics 2016-08-31 V. A. Schweigert , F. M. Peeters , P. Singha Deo

In a single-component Ginzburg-Landau model which possesses thermodynamically stable vortex excitations, the zero-field superconducting phase transition is second order even when fluctuations are included. Beyond the mean-field…

Superconductivity · Physics 2015-04-20 Hannes Meier , Egor Babaev , Mats Wallin

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

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…

Novel vortex phase and nature of double transition field are investigated by two-component Ginzburg-Landau theory in a situation where fourfold-twofold symmetric superconducting double transition occurs. The deformation from 60 degree…

Superconductivity · Physics 2007-08-01 Yasushi Matsunaga , Masanori Ichioka , Kazushige Machida

Traditionally, superconductors are categorized as type-I or type-II. Type-I superconductors support only Meissner and normal states, while type-II superconductors form magnetic vortices in sufficiently strong applied magnetic fields.…

Superconductivity · Physics 2016-08-31 Egor Babaev , J. Martin Speight

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

We show that in multiband superconductors even small interband proximity effect can lead to a qualitative change in the interaction potential between superconducting vortices by producing long-range intervortex attraction. This type of…

Superconductivity · Physics 2011-10-17 Egor Babaev , Johan Carlstrom , Martin Speight

In superconductors, the search for special vortex states such as giant vortices focuses on laterally confined or nanopatterned thin superconducting films, disks, rings, or polygons. We examine the possibility to realize giant vortex states…

Superconductivity · Physics 2008-03-06 V. N. Gladilin , J. Tempere , I. F. Silvera , J. T. Devreese , V. V. Moshchalkov

We describe a semi-analytic approach to the two-band Ginzburg-Landau theory, which predicts the behavior of vortices in two-band superconductors. We show that the character of the short-range vortex-vortex interaction is determined by the…

Superconductivity · Physics 2011-07-18 A. Chaves , L. Komendová , M. V. Milošević , J. S. Andrade , G. A. Farias , F. M. Peeters

In superconductors with three or more components, time-reversal symmetry may be broken when the inter-component couplings are repulsive, leading to a superconducting state with two-fold degeneracy. When prepared carefully there is a stable…

Superconductivity · Physics 2015-12-29 Zhao Huang , Xiao Hu

We demonstrate that the intrinsic superconducting diode effect can affect the structure, interactions and dynamics of Abrikosov vortices in non-centrosymmetric superconductor/ferromagnet hybrid structures. The Ginzburg-Landau (GL) theory…

Superconductivity · Physics 2025-10-10 A. V. Putilov , D. V. Zakharov , A. Kudlis , A. S. Mel'nikov , A. I. Buzdin
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