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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

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

Unconventional superconductivity with spin-triplet Cooper pairing is reviewed on the basis of the quasi-phenomenological Ginzburg-Landau theory. The superconductivity, in particular, the mixed phase of coexistence of ferromagnetism and…

Superconductivity · Physics 2007-05-23 Diana V. Shopova , Tsvetomir E. Tsvetkov , Dimo I. Uzunov

This article reviews theoretical and experimental work on the novel physics in multiband superconductors. Multiband superconductors are characterized by multiple superconducting energy gaps in different bands with interaction between Cooper…

Superconductivity · Physics 2014-11-18 Shi-Zeng Lin

The interplay between magnetism and superconductivity is one of the central topics of condensed matter physics, which has recently been put into new light by the discovery of altermagnets. Here, we study this interplay from a fundamental…

Superconductivity · Physics 2025-07-16 Kirill Parshukov , Andreas P. Schnyder

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

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

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

The dual approach to the Ginzburg-Landau theory of a Bardeen-Cooper-Schrieffer superconductor is reviewed. The dual theory describes a grand canonical ensemble of fluctuating closed magnetic vortices, of arbitrary length and shape, which…

Condensed Matter · Physics 2009-10-28 M. Kiometzis , H. Kleinert , A. M. J. Schakel

We study the features of the superconductivity nucleation and vortex configurations in superconductors with modulated disorder. Using the Ginzburg-Landau-type theory with spatially varying diffusion coefficient, we uncover and explain the…

Superconductivity · Physics 2023-05-17 A. A. Kopasov , I. M. Tsar'kov , A. S. Mel'nikov

A simple variational model is proposed to analyze the superconducting state in long cylindrical type-II superconductor placed in the external magnetic field. In the framework of this model, it is possible to solve the Ginzburg-Landau…

Superconductivity · Physics 2009-10-31 W. V. Pogosov , A. L. Rakhmanov , E. A. Shapoval

Varying the angle Theta between applied field and the conducting planes of a layered superconductor in a small interval close to the plane-parallel field direction, a large number of superconducting states with unusual properties may be…

Superconductivity · Physics 2009-11-10 U. Klein

Superconductivity and magnetism are antagonistic states of matter. The presence of spontaneous magnetic fields inside the superconducting state is, therefore, an intriguing phenomenon prompting extensive experimental and theoretical…

Equilibrium magnetic properties of the mixed state in type-II superconductors were measured with high purity bulk and film niobium samples in parallel and perpendicular magnetic fields using dc magnetometry and scanning Hall-probe…

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

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

We discuss the physics of the vortex state in a $d$-wave superconductor, using the phenomenological Ginzburg-Landau theory, where many novel phenomena arise from the small admixture of the $s$-wave component induced by spatial variations in…

Condensed Matter · Physics 2009-10-28 M. Franz , C. Kallin , P. I. Soininen , A. J. Berlinsky , A. L. Fetter

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

Phase transitions between different (i.e. giant and multi-vortex) superconducting states and between the superconducting-normal state of mesoscopic disks and rings are studied in the presence of an external magnetic field by solving the two…

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

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
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