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In type-II superconductors, the dynamics of superconducting vortices determine their transport properties. In the Ginzburg-Landau theory, vortices correspond to topological defects in the complex order parameter. Extracting their precise…

Superconductivity · Physics 2015-06-23 C. L. Phillips , T. Peterka , D. Karpeyev , A. Glatz

An inverse turbulent cascade in a periodic square box produces a coherent system-sized vortex dipole. We study the statistics of its motion by carrying out direct numerical simulations performed for various bottom friction $\alpha$, pumping…

Fluid Dynamics · Physics 2024-01-25 Vladimir Parfenyev

The single vortex problem in a strongly correlated bosonic system is investigated self-consistently within the mean-field theory of the Bose-Hubbard model. Near the superfluid-Mott transition, the vortex core has a tendency toward the…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu , Han-dong Chen , Jiang-ping Hu , Shou-Cheng Zhang

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

Ginzburg-Landau theory is used to study the properties of single vortices and of the Abrikosov vortex lattice in a $d_{x^2-y^2}$ superconductor. For a single vortex, the $s$-wave order parameter has the expected four-lobe structure in a…

Condensed Matter · Physics 2016-08-31 A. J. Berlinsky , A. L. Fetter , M. Franz , C. Kallin , P. I. Soininen

Theories, simulations and experiments on vortex dynamics in quasi-two-dimensional magnetic materials are reviewed. These materials can be modelled by the classical two-dimensional anisotropic Heisenberg model with XY (easy-plane) symmetry.…

Condensed Matter · Physics 2007-05-23 F. G. Mertens , A. R. Bishop

The dynamics of the annihilation of a vortex-antivortex pair is investigated. The pair is activated magnetically during the run of a simulated hysteresis loop on a square mesoscopic superconducting cylinder with an antidot inserted at its…

A non-dissipative model for vortex motion in thin superconductors is considered. The Lagrangian is a Galilean invariant version of the Ginzburg--Landau model for time-dependent fields, with kinetic terms linear in the first time derivatives…

High Energy Physics - Theory · Physics 2009-10-30 N. S. Manton

We consider the dynamics of vortex strings and sound waves in superfluids in the phenomenological Landau-Ginzburg equation. We first derive the vortex equation where the velocity of a vortex is determined by the average fluid velocity and…

Condensed Matter · Physics 2007-05-23 Kimyeong Lee

It is known that the quantized vortices in a superfluid can be described by a dual electromagnetic model through the duality transformation. Recently a new technique, which can selectively remove atoms from a Bose-Einstein condensate, was…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hui Zhai , Qi Zhou

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

Within a framework of two-component Ginzburg-Landau theory as a model of superconducting FeSe, we study the spatial structure of vortex states in the presence of nematic twin boundary in an s + d wave nematic superconductor. The result…

Superconductivity · Physics 2025-01-17 Sakiko Noda , Hiroto Adachi , Masanori Ichioka

Static vortices close together are studied for two different models in 2-dimen- sional Euclidean space. In a simple model for one complex field an expansion in the parameters describing the relative position of two vortices can be given in…

High Energy Physics - Theory · Physics 2015-06-25 J. Burzlaff , E. Kellegher

The properties of vortices in superconducting thin films are revisited. The interaction between two Pearl vortices in an infinite film is approximated at all distances by a simple expression. The interaction of a vortex with a regular…

Superconductivity · Physics 2015-05-13 Ernst Helmut Brandt

We have measured the in-plane anisotropy of the vortex mobility in a thin Pb film with a square array of antidots. The Lorentz force, acting on the vortices, was rotated by adding two perpendicular currents and keeping the amplitude of the…

Superconductivity · Physics 2009-11-10 A. V. Silhanek , L. Van Look , S. Raedts , R. Jonckheere , V. V. Moshchalkov

We set up general equations of motion for point vortex systems on closed Riemannian surfaces, allowing for the case that the sum of vorticities is not zero and there hence must be counter-vorticity present. The dynamics of global…

Mathematical Physics · Physics 2022-07-13 Björn Gustafsson

The vortex lattice with the superconducting and normal state charge carriers fractions may be regarded as three independent subsystems mutually connected by interactions. The equation of motion for these three subsystems must be solved…

Superconductivity · Physics 2009-10-31 J. Kolacek , E. Kawate

The task of experimentally investigating the inherently dual properties of a supersolid, a simultaneous superfluid and solid, has become more critical following the recent experimental exploration of supersolid regimes in dipolar…

Quantum Gases · Physics 2025-04-25 Subrata Das , Vito W. Scarola

A systematic numerical study of non-pairwise vortex interaction forces in the Ginzburg-Landau model for single- and multicomponent superconductivity is presented. The interactions are obtained by highly accurate numerical free energy…

Superconductivity · Physics 2013-02-26 Alexander Edström

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