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We investigate the behavior of vortices of multi-component superconductivity, realized in $\rm{MgB_2}$ and Fe-based superconductors, within the framework of Ginzburg-Landau (GL) theory in terms of numerical calculations of the…

Superconductivity · Physics 2011-12-05 Shi-Zeng Lin , Xiao Hu

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

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 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

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

We present a geometry-based discussion of possible vortex configurations in the mixed state of anisotropic type-II superconductors. It is shown that, if energy considerations assign six nearest neighbors to each vortex, two distinct…

Superconductivity · Physics 2009-11-10 I. L. Landau , A. V. Sologubenko , H. R. Ott

Formation of vortices is a typical phenomenon of type-II superconductors under magnetic fields (H). In contrast, type-I superconductors do not host vortices because of their Meissner state. As rare cases, vortices have been observed in…

The vortex lattice (VL) symmetry and orientation in clean type-II superconductors depends sensitively on the host material anisotropy, vortex density and temperature, frequently leading to rich phase diagrams. Typically, a well-ordered VL…

In the mixed state of type-II bulk superconductors, the magnetic field penetrates in the form of vortices enclosing one magnetic flux quantum: this is the conventional Abrikosov vortex lattice. Here, by using transverse muon-spin…

Superconductivity · Physics 2026-04-28 G. Lamura , T. Winyard , P. Gentile , M. Speight , F. Anger , B. Buchner , S. Wurmehl , T. Shiroka

We have computed the effective interaction between vortices in the Ginzburg-Landau model from large-scale Monte-Carlo simulations, taking thermal fluctuations of matter fields and gauge fields fully into account close to the critical…

Superconductivity · Physics 2009-11-07 J. Hove , S. Mo , A. Sudbo

In a type II superconductor in a moderate magnetic field, the superconductor to normal state transition may be described as a phase transition in which the vortex lattice melts into a liquid. In a biaxial superconductor, or even a uniaxial…

Superconductivity · Physics 2009-11-07 E. W. Carlson , A. H. Castro Neto , D. K. Campbell

Disorder in two-band superconductors with repulsive interband interaction induces a frustrated competition between the phase-locking preferences of the various potential and kinetic terms. This frustrated interaction can result in the…

Superconductivity · Physics 2018-07-27 Julien Garaud , Alberto Corticelli , Mihail Silaev , Egor Babaev

Using a perturbative approach to the infinitely degenerate Bogomolnyi vortex state for a superconductor with kappa = 2^(-1/2), T -> T_c, we calculate the interaction of vortices in a superconductor with kappa close to 2^(-1/2). We find,…

Superconductivity · Physics 2009-09-29 F. Mohamed , I. Luk'yanchuk , M. Troyer , G. Blatter

We examine the vortex states in a 2D superconductor interacting with a square array of pinning sites. As a function of pinning size or strength we find a series of novel phases including multi-vortex and composite superlattice states such…

Superconductivity · Physics 2009-10-31 Charles Reichhardt , Niels Gronbech-Jensen

We consider the vortex matter in a three-dimensional two-component superconductor with individually conserved condensates with different bare phase stiffnesses in a finite magnetic field, such as the projected superconducting state of…

Superconductivity · Physics 2007-05-23 Eivind Smorgrav , Jo Smiseth , Egor Babaev , Asle Sudbo

We demonstrate the existence of a novel superconducting state in high quality two-component MgB2 single crystalline superconductors where a unique combination of both type-1 (kappa_1 < 0.707) and type-2 (kappa_2 > 0.707) superconductor…

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 mechanism of the interplay between superconductivity and magnetism is one of the intriguing and challenging problems in physics. Theory has predicted that the ferromagnetic order can coexist with the superconducting order in the form of…

Superconductivity · Physics 2020-10-05 Nanami Teramachi , Yusuke Seto , Takahiro Sakurai , Hithoshi Ohta , Takashi Uchino

The set of the nonlinear Ginzburg-Landau equations is solved for an Al mesoscopic superconducting triangle of finite thickness. We calculate the distributions of the superconducting phase in the triangle and of the magnetic field in and…

Superconductivity · Physics 2009-11-07 V. R. Misko , V. M. Fomin , J. T. Devreese , V. V. Moshchalkov

Conventional superconductors are strong diamagnets that through the Meissner effect expel magnetic fields. It would therefore be surprising if a superconducting ground state would support spontaneous magnetics fields. Such time-reversal…

Superconductivity · Physics 2015-09-02 Mikael Håkansson , Tomas Löfwander , Mikael Fogelström
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