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It is used the mechanical method of Abrikosov vortex stimulated dynamics investigation in superconductors. With its help it was studied relaxation phenomena in vortex matter of high-temperature superconductors. It established that pulsed…

Superconductivity · Physics 2009-11-13 J. G. Chigvinadze , S. M. Ashimov , T. V. Machaidze

In superconductors, vortices induced by a magnetic field are nucleated randomly due to some random fluctuations or pinned by impurities or boundaries, impeding the development of vortex based quantum devices. Here, we propose a…

Superconductivity · Physics 2022-07-13 T. Okugawa , S. Park , P. Recher , D. M. Kennes

The electrostatic potential in a superconductor is studied. To this end Bardeen's extension of the Ginzburg-Landau theory to low temperatures is used to derive three Ginzburg-Landau equations - the Maxwell equation for the vector potential,…

Superconductivity · Physics 2009-11-07 Pavel Lipavsky , Jan Kolacek , Klaus Morawetz , Ernst Helmut Brandt

A type-II superconductor survives in an external magnetic field by admitting an Abrikosov lattice of quantized vortices. This is an imprint of the Aharonov-Bohm effect created by the Abelian U(1) gauge field. The simplest non-Abelian…

Strongly Correlated Electrons · Physics 2016-09-01 Predrag Nikolic

Within the framework of the generalized time-dependent Ginzburg-Landau equations, we studied the influence of the magnetic self-field induced by the currents inside a superconducting sample driven by an applied transport current. The…

Superconductivity · Physics 2020-06-03 Leonardo Rodrigues Cadorim , Alexssandre de Oliveira Junior , Edson Sardella

We explore the experimental implications of a recent theory of the quantum dynamics of vortices in superfluids proximate to Mott insulators (cond-mat/0408329 and cond-mat/0409470). The theory predicts modulations in the local density of…

Strongly Correlated Electrons · Physics 2007-05-23 Lorenz Bartosch , Leon Balents , Subir Sachdev

We study the effect of a time-varying solenoidal vector potential for a quantum particle confined to a ring. The setup appears to be a time-varying version of the Aharonov-Bohm effect, but since the particle moves in the presence of fields,…

Quantum Physics · Physics 2025-12-19 Patrick Hinrichs , Douglas Singleton , Nader Inan

The most popular interpretation of the Aharonov-Bohm (AB) effect is that the electromagnetic potential locally affects the complex phase of a charged particle's wave function in the magnetic field free region. However, since the vector…

Quantum Physics · Physics 2025-06-10 Masashi Wakamatsu

Abrikosov vortex melting in high-temperature superconductors of ErBa2Cu3O7-δ system is investigated using mechanical contactless method of energy dissipation.

Superconductivity · Physics 2007-05-23 S. M. Ashimov , J. G. Chigvinadze

In this letter we discuss physical mechanisms for delocalization of the magnetic field of Abrikosov vortex in superconductors in the presence of planar defects of various electronic transparency. The resulting strong perturbation of the…

Superconductivity · Physics 2023-11-09 V. Plastovets , A. Buzdin

The vortex-vortex interaction potential in bulk superconductors is calculated within the Ginzburg-Landau (GL) theory and is obtained from a numerical solution of a set of two coupled non-linear GL differential equations for the vector…

Superconductivity · Physics 2015-05-19 Andrey Chaves , F. M. Peeters , G. A. Farias , M. Milošević

The electrostatic potential above the Abrikosov vortex lattice, discussed earlier by Blatter {\em et al.} {[}PRL {\bf 77}, 566 (1996){]}, is evaluated within the Ginzburg-Landau theory. Unlike previous studies we include the surface dipole.…

This paper studies questions related to the dynamic transition between local and global minimizers in the Ginzburg-Landau theory of superconductivity. We derive a heuristic equation governing the dynamics of vortices that are close to the…

Analysis of PDEs · Mathematics 2017-06-07 Gautam Iyer , Daniel Spirn

We demonstrate that, in contrast to the single-component Abrikosov vortex, in two-component superconductors vortex solutions with exponentially screened magnetic field exist only in exceptional cases: in the case of vortices carrying an…

Superconductivity · Physics 2011-10-17 Egor Babaev , Juha Jäykkä , Martin Speight

We report on dynamics of non-local Abrikosov vortex flow in mesoscopic superconducting Nb channels. Magnetic field dependence of the non-local voltage induced by the flux flow shows that vortices form ordered vortex chains. Voltage…

Superconductivity · Physics 2015-06-11 G. Karapetrov , V. Yefremenko , G. Mihajlović , J. E. Pearson , M. Iavarone , V. Novosad , S. D. Bader

The spacial distribution of fields and currents in confining theories can give direct evidence of dual superconductivity. We would like to discuss the techniques for finding these properties and calculating the superconductivity parameters…

High Energy Physics - Lattice · Physics 2016-11-03 Richard W. Haymaker

In the topological superconductor with the nematic superconductivity in $E_u$ representation, it is possible to have different types of vortices. One is associated with the vorticity in the particle-hole space and corresponds to the…

Superconductivity · Physics 2023-04-24 A. V. Kapranov , R. S. Akzyanov , A. L. Rakhmanov

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

Scanning SQUID imaging of CaSb$_2$ reveals dense vortex clusters with enhanced boundary susceptibility and suppressed internal vortex motion, which features inconsistent with both isolated vortex and flux tube behaviors. These measurements…

Superconductivity · Physics 2026-04-28 Yusuke Iguchi , Nabhanila Nandi , Mohamed Oudah

We show that prominent features in voltage-current characteristics, recently measured in the mixed state of high-Tc superconductors and interpreted as evidence for an irreversibility line or a vortex-glass transition, may very well be…

Superconductivity · Physics 2009-11-07 I. L. Landau , H. R. Ott