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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

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

Placing a high-Tc superconductor in an increasing external magnetic field, the flux first penetrates the sample through an Abrikosov vortex lattice, and then a first order transition is observed by which the system goes to the normal phase.…

High Energy Physics - Phenomenology · Physics 2016-11-03 M. Laine

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 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

The ground state with vorticity larger than one in mesoscopic superconductors in applied magnetic field may manifest as a `giant'-vortex, where all vortices coalesce into a single singularity of the order parameter. Such a multi-quanta…

Superconductivity · Physics 2011-07-04 Ben Xu , M. V. Milošević , Shi-Hsin Lin , F. M. Peeters , B. Jankó

We consider a thin superconducting film with a magnetic dot with permanent magnetization (normal to the film) placed on it by a method based on London-Maxwell equations. For sufficiently high dot magnetization a single vortex appears in the…

Superconductivity · Physics 2009-01-14 Zoran Ristivojevic

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 present an analysis of the magnetic field distribution in the Abrikosov lattice of high-$\kappa$ superconductors with singlet pairing in the case where the critical field is mainly determined by the Pauli limit and the superfluid…

Superconductivity · Physics 2015-05-20 V. P. Michal , V. P. Mineev

The article reviews recent developments on magnetic properties of superconductors with anisotropic Cooper pairing. In particular, we show how the concept of broken symmetries is applied to the investigation of the mixed state in…

Condensed Matter · Physics 2016-08-31 I. A. Luk'yanchuk , M. E. Zhitomirsky

We employ the Einstein-Abelian-Higgs theory to investigate the structure of vortex-antivortex lattices within a superconductor driven by spatial periodic magnetic fields. By adjusting the parameters of the external magnetic field, including…

High Energy Physics - Theory · Physics 2023-11-13 Jia-Hao Su , Chuan-Yin Xia , Wei-Can Yang , Hua-Bi Zeng

The electro-magnetic responses of ordered vortex lattices in unconventional superconductors are studied in a high field approximation. In the cases with a vortex lattice formed within the lowest Landau level of the superconducting order…

Superconductivity · Physics 2025-10-28 Ryusuke Ikeda , Yuto Yokota

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

We have investigated vortex states in two-dimensional superconductors under a oscillating magnetic field from a chiral helimagnet. We have solved the two-dimensional Ginzburg-Landau equations with finite element method. We have found that…

Superconductivity · Physics 2018-08-01 Saoto Fukui , Masaru Kato , Yoshihiko Togawa , Osamu Sato

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

Based on the quasiclassical theory, we investigate the vortex state in a two-band superconductor with a small gap on a three dimensional Fermi surface and a large gap on a quasi-two dimensional one, as in MgB_2. The field dependence of…

Superconductivity · Physics 2007-08-01 Masanori Ichioka , Kazushige Machida , Noriyuki Nakai , Predrag Miranovic

The problem of the giant vortex state around a magnetic dot which is embedded in a superconducting film is investigated. The full non-linear, self-consistent Ginzburg-Landau equations are solved numerically in order to calculate the free…

Condensed Matter · Physics 2009-10-28 I. K. Marmorkos , A. Matulis , F. M. Peeters

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

For submicron particles shaped as any axisymmetric body and made with standard canted antiferromagnet like hematite or iron borate, the ground state may comprise of a magnetic vortex with topologically non-trivial distribution of the…

Materials Science · Physics 2009-07-12 A. Yu. Galkin , B. A. Ivanov

Here we consider micron-sized samples with any axisymmetric body shape and made with a canted antiferromagnet, like hematite or iron borate. We find that its ground state can be a magnetic vortex with a topologically non-trivial…

Materials Science · Physics 2015-05-18 E. G. Galkina , A. Yu. Galkin , B. A. Ivanov , Franco Nori
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