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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 develop the Ginzburg-Landau approach to comparing different possible crystal structures for the crystalline color superconducting phase of QCD, the QCD incarnation of the Larkin-Ovchinnikov-Fulde-Ferrell phase. In this phase, quarks of…

High Energy Physics - Phenomenology · Physics 2016-09-06 Jeffrey A. Bowers , Krishna Rajagopal

We have imaged spontaneously created arrays of vortices (magnetic flux quanta), generated in a superconducting film quenched through its transition temperature at rates around $10^9 K/s$. From these images, we calculated the positional…

Statistical Mechanics · Physics 2015-05-20 Daniel Golubchik , Emil Polturak , Gad Koren , Boris Ya. Shapiro , Irina Shapiro

The time-dependent Ginzburg-Landau approach is used to investigate nonlinear response of a strongly type-II superconductor. The dissipation takes a form of the flux flow which is quantitatively studied beyond linear response. Thermal…

Superconductivity · Physics 2015-05-18 Bui Duc Tinh , Dingping Li , Baruch Rosenstein

Response of a mesoscopic superconducting disk to perpendicular magnetic fields is studied by using the multiple-small-tunnel-junction method, in which transport properties of several small tunnel junctions attached to the disk are measured…

Superconductivity · Physics 2009-11-10 A. Kanda , B. J. Baelus , F. M. Peeters , K. Kadowaki , Y. Ootuka

Abrikosov's solution of the linearized Ginzburg-Landau theory describing a periodic lattice of vortex lines in type-II superconductors at large inductions, is generalized to non-periodic vortex arrangements, e.g., to lattices with a vacancy…

Superconductivity · Physics 2008-06-09 Ernst Helmut Brandt

We demonstrate existence of non-pairwise interaction forces between vortices in multicomponent and layered superconducting systems. That is, in contrast to most common models, the interactions in a group of such vortices is not a universal…

Superconductivity · Physics 2015-03-18 Johan Carlstrom , Julien Garaud , Egor Babaev

The conditions for the entry of vortices into type-II superconductors being in the Meissner and/or mixed state, are studied by both numerical and analytical solution of the Ginzburg-Landau equations. A modulation instability of the…

Superconductivity · Physics 2016-08-31 D. Yu. Vodolazov , I. L. Maksimov , E. H. Brandt

We present numerical studies of the dynamics of vortices in the Ginzburg Landau model using equations derived from the gradient flow of the free energy. These equations have previously been proposed to describe the dynamics of n-vortices…

High Energy Physics - Theory · Physics 2016-11-09 P. Mikula , M. E. Carrington , G. Kunstatter

Time dependent Ginzburg-Landau equation is solved for type II superconductors numerically, and the dynamics of entering vortices, geometric defects and pinning effects have been investigated. A superconducting wire with ratchet defects is…

Superconductivity · Physics 2017-04-06 Dachuan Lu

We study the 2D full Ginzburg-Landau energy with a periodic rapidly oscillating, discontinuous and [strongly] diluted pinning term using a perturbative argument. This energy models the state of an heterogeneous type II supercon-ductor…

Analysis of PDEs · Mathematics 2019-04-05 Mickaël Dos Santos

We investigate vortex solutions in the Ginzburg-Landau theory for neutron $^3P_2$ superfluids relevant for neutron star cores in which neutron pairs possess the total angular momentum $J=2$ with spin-triplet and $P$ wave, in the presence of…

Nuclear Theory · Physics 2022-03-30 Michikazu Kobayashi , Muneto Nitta

We introduce a new model for a pairwise repulsive interaction potential of vortices in a type-II superconductor, consisting of superimposed six- and 12-fold anisotropies. Using numerical simulations we study how the vortex lattice…

Superconductivity · Physics 2024-04-23 M. W. Olszewski , M. R. Eskildsen , C. Reichhardt , C. J. O. Reichhardt

In this paper we consider the asymptotic behavior of the Ginzburg- Landau model for superconductivity in 3-d, in various energy regimes. We rigorously derive, through an analysis via {\Gamma}-convergence, a reduced model for the vortex…

Mathematical Physics · Physics 2015-05-27 Sisto Baldo , Robert L. Jerrard , Giandomenico Orlandi , Mete Soner

The paper deals with the study of superfluidity by a Ginzburg-Landau model that investigates the material by a second order phase transition, in which any particle has simultaneouly a normal and superfluid motion. This pattern is able to…

Superconductivity · Physics 2008-06-02 Mauro Fabrizio

The time-dependent Ginzburg-Landau approach is used to calculate the complex fluctuation conductivity in layered type-II superconductor under magnetic field. Layered structure of the superconductor is accounted for by means of the…

Superconductivity · Physics 2014-03-21 B. D. Tinh , L. M. Thu , L. V. Hoa

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

In the mixed state of type II superconductors, vortices penetrate the sample and form a correlated system due to the screening of supercurrents around them. Interestingly, we can study this correlated system as a function of density and…

Superconductivity · Physics 2009-11-10 M. Hilke , S. Reid , R. Gagnon , Z. Altounian

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 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…

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