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A low energy radioactive beam of polarized $^8$Li has been used to observe the vortex lattice near the surface of superconducting NbSe$_2$. The inhomogeneous magnetic field distribution associated with the vortex lattice was measured using…

The magnetic field distribution, the magnetic flux, and the free energy of an Abrikosov vortex loop near a flat surface of type--II superconductors are calculated in the London approximation. The shape of such a vortex line is a semicircle…

supr-con · Physics 2009-10-30 Alexey V. Samokhvalov

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 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

The effect of dipolar interactions among cylindrical nanodots, with a vortex-core magnetic configuration, is analyzed by means of analytical calculations. The cylinders are placed in a N x N square array in two configurations - core…

Materials Science · Physics 2007-11-06 D. Altbir , J. Escrig , P. Landeros , F. S. Amaral , M. Bahiana

We demonstrate that the intrinsic superconducting diode effect can affect the structure, interactions and dynamics of Abrikosov vortices in non-centrosymmetric superconductor/ferromagnet hybrid structures. The Ginzburg-Landau (GL) theory…

Superconductivity · Physics 2025-10-10 A. V. Putilov , D. V. Zakharov , A. Kudlis , A. S. Mel'nikov , A. I. Buzdin

Here we describe a development of computer algorithm to simulate the Time Dependent Ginzburg-Landau equation (TDGL) and its application to understand superconducting vortex dynamics in confined geometries. Our initial motivation to get…

Superconductivity · Physics 2020-05-20 Antonio Lara , César González-Ruano , Farkhad G. Aliev

In type-1.5 superconductors, vortices emerge in clusters, which grow in size with increasing magnetic field. These novel vortex clusters and their field dependence are directly visualized by scanning SQUID microscopy at very low vortex…

The superconducting diode effect (SDE), characterized by nonreciprocal critical currents, has attracted growing attention due to its potential applications in quantum technologies and energy-efficient devices. In this work, we explore the…

Superconductivity · Physics 2026-03-27 Jiong Li , Ji Jiang , Qing-Hu Chen

Self-consistent solutions of the Ginzburg-Landau system of equations, which describe the order parameter and the magnetic field distribution in a long superconducting cylinder of finite radius R, in external magnetic field H, when vortex…

Superconductivity · Physics 2007-05-23 G. F. Zharkov , V. G. Zharkov , A. Yu. Zvetkov

Scanning $\mu$SQUID force microscopy is used to study magnetic flux structures in single crystals of the layered spin triplet superconductor Sr$\_{2}$RuO$\_{4}$. Images of the magnetic flux configuration above the $\vec{a}\vec{b}$-face of…

Superconductivity · Physics 2009-11-11 K. Hasselbach , V. O. Dolocan , P. Lejay , D. Mailly

The existence of nonlinear objects of the vortex type in two-dimensional magnetic systems presents itself as one of the most promising candidates for the construction of nanodevices, useful for storing data, and for the construction of…

Statistical Mechanics · Physics 2010-10-22 J. C. S. Rocha , P. Z. Coura , S. A. Leonel , R. A. Dias , B. V. Costa

We establish stability and characteristics of two-dimensional (2D) vortex ring-shaped quantum droplets (QDs) formed by binary Bose-Einstein condensates (BECs). The system is modeled by the Gross-Pitaevskii (GP) equation with the cubic term…

Pattern Formation and Solitons · Physics 2023-01-04 Bin Liu , Yi xi Chen , Ao wei Yang , Xiao yan Cai , Yan Liu , Zhi huan Luo , Xi zhou Qin , Xun da Jiang , Yong yao Li , Boris A. Malomed

We investigate vortex lattice solutions in a holographic superconductor model in asymptotically $AdS_4$ spacetime which includes the gravitational backreaction of the vortex. The circular cell approximation, which is known to give a good…

High Energy Physics - Theory · Physics 2020-01-29 Gianni Tallarita , Roberto Auzzi

Based on a two dimensional odd-parity superconducting order parameter for Sr_2RuO_4 with p-wave symmetry, we investigate the single vortex and vortex lattice structure of the mixed phase near H_{c1}. Ginzburg-Landau calculations for a…

Superconductivity · Physics 2009-10-31 R. Heeb , D. F. Agterberg

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 study the confinement of vorticity for two-dimensional incompressible flows in an infinite cylinder. For Navier-Stokes solutions with non-negative and compactly supported initial vorticity, we derive quantitative decay estimates showing…

Analysis of PDEs · Mathematics 2026-03-17 Paolo Buttà , Guido Cavallaro

We consider the full three-dimensional Ginzburg-Landau model of superconductivity with applied magnetic field, in the regime where the intensity of the applied field is close to the "first critical field" $H_{c_1}$ at which vortex filaments…

Analysis of PDEs · Mathematics 2023-06-28 Carlos Román , Etienne Sandier , Sylvia Serfaty

We demonstrate the formation of dynamically stable giant vortices in a harmonically-trapped strongly dipolar $^{164}$Dy Bose-Einstein condensate under rotation around the polarization direction of dipolar atoms, employing the numerical…

Quantum Gases · Physics 2025-03-06 Luis E. Young-S. , S. K. Adhikari

The complete flow field surrounding a rotating cylinder is calculated by solving the Navier-Stokes equations using the finite difference method. The numerical simulation is performed on a transformed rectilinear grid, with axes representing…

Computational Physics · Physics 2018-10-25 Alan Hsu , Fei Liu
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