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Harnessing the properties of vortices in superconductors is crucial for fundamental science and technological applications; thus, it has been an ongoing goal to locally probe and control vortices. Here, we use a scanning probe technique…

We propose a mechanism which can generate supercurrents in spin-orbit coupled superconductors with charged magnetic inclusions. The basic idea is that through spin-orbit interaction, the in-plane electric field near the edge of each…

Superconductivity · Physics 2025-06-23 Benjamin A. Levitan , Yuval Oreg , Erez Berg

We present new estimates on the two-dimensional Ginzburg-Landau energy of a type-II superconductor in an applied magnetic field varying between the second and third critical fields. In this regime, superconductivity is restricted to a thin…

Mathematical Physics · Physics 2019-10-01 M. Correggi , N. Rougerie

The effects of the coupling between two electronic condensates in two-gap mesoscopic superconductors are studied within the Ginzburg-Landau theory using a finite difference technique. In applied magnetic field, we derive the dependency of…

Superconductivity · Physics 2015-03-17 R. Geurts , M. V. Milošević , F. M. Peeters

Experiments on disordered superconducting thin films have revealed a magnetoresistance peak of several orders of magnitude. Starting from the disordered negative-U Hubbard model, we employ an ab initio approach that includes thermal…

Superconductivity · Physics 2011-11-15 G. J. Conduit , Yigal Meir

We study vortex nucleation for minimizers of a Ginzburg-Landau energy with discontinuous constraint. For applied magnetic fields comparable with the first critical field of vortex nucleation, we determine the limiting vorticities.

Analysis of PDEs · Mathematics 2008-07-09 Hassen Aydi , Ayman Kachmar

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

This is a review about a series of results on vortices in the Ginzburg-Landau model of superconductivity on the one hand, and point patterns in Coulomb gases on the other hand, as well as the connections between the two topics.

Mathematical Physics · Physics 2015-06-16 Sylvia Serfaty

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

A theory of the macroturbulent instability in the system containing vortices of opposite directions (vortices and antivortices) in hard superconductors is proposed. The origin of the instability is connected with the anisotropy of the…

Superconductivity · Physics 2015-06-24 L. M. Fisher , T. H. Johansen , A. L. Rakhmanov , A. A. Levchenko , V. A. Yampol'skii

Scanning Hall probe and local Hall magnetometry measurements have been used to investigate flux distributions in large mesoscopic superconducting disks with sizes that lie near the crossover between the bulk and mesoscopic vortex regimes.…

Superconductivity · Physics 2009-11-13 M. R. Connolly , M. V. Milosevic , S. J. Bending , J. R. Clem , T. Tamegai

We study the three-dimensional Ginzburg-Landau model of superconductivity for strong applied magnetic fields varying between the second and third critical fields. In this regime, it is known from physics that superconductivity should be…

Analysis of PDEs · Mathematics 2019-03-27 Søren Fournais , Jean-Philippe Miqueu , Xing-Bin Pan

We carry out a systematic analytic investigation of stationary and cylindrically symmetric vortex configurations for simple models representing an incompressible non-relativistic superconductor in a rigidly rotating background. It is shown…

Superconductivity · Physics 2009-10-31 Brandon Carter , Reinhard Prix , David Langlois

The paramagnetic Meissner effect (PME) is observed in small superconducting samples, and a number of controversial explanations of this effect are proposed, but there is as yet no clear understanding of its nature. In the present paper PME…

Superconductivity · Physics 2009-10-31 G. F. Zharkov

A two-parameter analytical model of the magnetic vortex in a thin disk of soft magnetic material is constructed. The model is capable of describing the change in evolution of net vortex state magnetization and of core position when the…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 Jacob A. J. Burgess , Joseph E. Losby , Mark R. Freeman

We study vortices in p-wave superconductors in a Ginzburg-Landau setting. The state of the superconductor is described by a pair of complex wave functions, and the p-wave symmetric energy functional couples these in both the kinetic…

Analysis of PDEs · Mathematics 2014-11-18 Stan Alama , Lia Bronsard , Xavier Lamy

A hydrodynamical description for vortex states in type II superconductors is presented based on the time-dependent Ginzburg-Landau equation (TDGL). In contrast to the familiar extension of a single vortex dynamics based on the force…

Condensed Matter · Physics 2009-10-28 Ryusuke Ikeda

The hallmark of superfluidity is the appearance of "vortex states" carrying a quantized metastable circulating current. Considering a unidirectional flow of particles in a ring, at first it appears that any amount of scattering will…

Quantum Gases · Physics 2015-08-31 Geva Arwas , Amichay Vardi , Doron Cohen

We consider flux lines in presence of a dense square array of columnar defects, with insulating core and radius of the order of the coherence length. The properties of the phase transition from the flux line regime to the localized…

Superconductivity · Physics 2009-10-31 Mauro M. Doria , Sarah C. B. de Andrade

Magnetic vortices in soft ferromagnetic nano-disks have been extensively studied for at least several decades both for their fundamental (as a "live" macroscopic realization of a field theory model of an elementary particle) as well as…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Konstantin L. Metlov