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In superconductors with large values of the Ginzburg-Landau parameter, exposed to magnetic fields close to the upper critical field, the magnetic field is practically homogeneous across the sample and the density of supercurrents is…

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

A serious obstacle that impedes the application of low and high temperature superconductor (SC) devices is the presence of trapped flux. Flux lines or vortices are induced by fields as small as the Earth's magnetic field. Once present,…

Superconductivity · Physics 2009-10-31 Choongseop Lee , Boldizsar Janko , Imre Derenyi , Albert-Laszlo Barabasi

Within the framework of the time-dependent Ginzburg-Landau equations, the dynamics of the order parameter in narrow superconducting channels of different lengths is investigated in the ac voltage-driven regime. The resistive state of the…

Superconductivity · Physics 2014-01-08 Y. S. Yerin , V. N. Fenchenko

Core structures of a single vortex in A-like and B-like phases of superfluid 3He in uniaxially compressed and stretched aerogels are studied by numerically solving Ginzburg-Landau equations derived microscopically. It is found that,…

Superconductivity · Physics 2015-05-19 Kazushi Aoyama , Ryusuke Ikeda

Dynamical behavior of vortices plays central roles in the quantum phenomena of two-dimensional (2D) superconductors. Quantum metallic state, for example, showing an anomalous temperature-independent resistive state down to low-temperatures,…

Superconductivity · Physics 2020-05-13 Yuki M. Itahashi , Yu Saito , Toshiya Ideue , Tsutomu Nojima , Yoshihiro Iwasa

Vortices are topological defects associated with superfluids and superconductors, which, when mobile, dissipate energy destroying the dissipation-less nature of the superfluid. The nature of this "quantum dissipation" is rooted in the…

High Energy Physics - Theory · Physics 2023-05-10 Wei-Can Yang , Chuan-Yin Xia , Hua-Bi Zeng , Makoto Tsubota , Jan Zaanen

We consider a model proposed earlier by us for describing a form of plastic instability found in creep experiments . The model consists of three types of dislocations and some transformations between them. The model is known to reproduce a…

chao-dyn · Physics 2015-06-24 Mulugeta Bekele , G Ananthakrishna

We examine Shapiro steps for vortex lattices interacting with periodic pinning arrays driven by AC and DC currents. The vortex flow occurs by the motion of the interstitial vortices through the periodic potential generated by the vortices…

We analyze the rhombic to square vortex lattice phase transition in anisotropic superconductors using a variant of Ginzburg-Landau (GL) theory. The mean-field phase diagram is determined to second order in the anisotropy parameter, and…

Superconductivity · Physics 2009-11-10 A. D. Klironomos , Alan T. Dorsey

In framework of Ginzburg-Landau model it is shown that narrow superconducting film with width w ~ 3-8 \xi(T) (\xi(T) is a temperature dependent coherence length) exhibits unusual transport properties. In the absence of bulk pinning its…

Superconductivity · Physics 2014-11-18 D. Y. Vodolazov

In the present paper which is a sequel to [N.B. Volkov and A.M. Iskoldsky The dynamics of vortex structures and states of current: 1;[1]], the dynamics of non-equilibrium phase transitions and states of current in electrophysical systems…

chao-dyn · Physics 2008-02-03 N. B. Volkov , A. M. Iskoldsky

We consider the vortex matter in a three-dimensional two-component superconductor with individually conserved condensates with different bare phase stiffnesses in a finite magnetic field, such as the projected superconducting state of…

Superconductivity · Physics 2007-05-23 Eivind Smorgrav , Jo Smiseth , Egor Babaev , Asle Sudbo

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

The mixed state of type II superconductors has magnetic flux penetrating the sample in the form of vortices, with each vortex carrying an identical quantum of flux. These vortices generally form a triangular lattice under weak mutually…

Superconductivity · Physics 2007-05-23 P. Chaddah , S. B. Roy

The orientation and deformation of moving vortex lattices in the flux-flow state have been investigated in amorphous superconducting NbGe thin films. Employing a mode-locking technique, we detect how moving lattices deform and their…

Superconductivity · Physics 2015-06-16 Nobuhito Kokubo , Tetsuya Yoshimura , Bunjyu Shinozaki

We perform current(I)-voltage(V) measurements on low resistance superconductor-normal-superconductor arrays in finite magnetic fields, focusing on the dilute vortex population regime. We observe significant deviations from predicted…

Superconductivity · Physics 2016-07-25 Malcolm Durkin , Ian Mondragon-Shem , Serena Eley , Taylor L. Hughes , Nadya Mason

Excitations in the form of quantized vortex rings are known to exist in superfluid $^{4}He$ at energies and momenta exceeding those of the Landau phonon-roton spectrum. They form a vortex branch of elementary excitations spectrum which is…

Mesoscale and Nanoscale Physics · Physics 2023-11-01 Eugene B. Kolomeisky

We study the Ginzburg-Landau equations in order to describe a two-dimensional superconductor in a bounded domain. Using the properties of a particular integrability point ($\kappa = 1/ \sqrt2$) of these nonlinear equations which allows…

Superconductivity · Physics 2009-10-31 E. Akkermans , K. Mallick

Using group theory arguments and numerical simulations, we demonstrate the possibility of changing the vorticity or topological charge of an individual vortex by means of the action of a system possessing a discrete rotational symmetry of…

Pattern Formation and Solitons · Physics 2009-11-11 Albert Ferrando , Mario Zacares , Miguel-Angel Garcia-March , Juan A. Monsoriu

Vortices confined to superconducting easy flow channels with periodic constrictions exhibit reversible oscillations in the critical current at which vortices begin moving as the external magnetic field is varied. This commensurability…

Superconductivity · Physics 2010-05-21 K. Yu , M. B. S. Hesselberth , P. H. Kes , B. L. T. Plourde