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Related papers: Vortex flow for a holographic superconductor

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In this paper a holographic model of $s$-wave superconductor with anisotropic Lifshitz scaling has been considered. In the presence of an external magnetic field our holographic model exhibits both vortex and droplet solutions. Based on…

High Energy Physics - Theory · Physics 2015-06-19 Arindam Lala

We carry out Monte Carlo simulations of the uniformly frustrated 3d XY model as a model for vortex line fluctuations in a high Tc superconductor. A density of vortex lines of f=1/25 is considered. We find two sharp phase transitions. The…

Condensed Matter · Physics 2009-10-22 Ying-Hong Li , S. Teitel

The recent discovery that some of the coefficients of the viscosity tensor are negative is shown to invalidate the hydrodynamic approach to the vortex liquid phase of a type-II superconductor. A satisfactory theory requires retention of all…

Condensed Matter · Physics 2009-10-22 T. Blum , M. A. Moore

We present a theory of vortex liquid-to-solid transition in homogeneous quasi 2D superconductors. The free energy is written as a functional l of density of zeroes of the fluctuating order parameter. The transition is weakly first-order and…

Condensed Matter · Physics 2009-10-22 Igor Herbut , Zlatko Tesanovic

Low-temperature dissipation due to vortex motion in strongly anisotropic type-II superconductors with a moderate disorder ($\Delta^2/E_F \ll \hbar/\tau \ll \Delta$) is shown to be determined by the Zener-type transitions between the…

Condensed Matter · Physics 2009-10-28 M. V. Feigel'man , M. A. Skvortsov

The nonlinear Ginzburg-Landau equations are solved numerically in order to investigate the vortex structure in thin superconducting disks of arbitrary shape. Depending on the size of the system and the strength of the applied magnetic field…

Superconductivity · Physics 2007-05-23 F. M. Peeters , B. J. Baelus

We present numerical studies of the dynamics of vortices in the Ginzburg Landau model using equations derived from the gradient flow of the free energy. These equations have previously been proposed to describe the dynamics of n-vortices…

High Energy Physics - Theory · Physics 2016-11-09 P. Mikula , M. E. Carrington , G. Kunstatter

We present a detailed study of a single vortex in a holographic symmetry breaking phase. At low energies the system flows to an nontrivial conformal fixed point. Novel vortex physics arises from the interaction of these gapless degrees of…

High Energy Physics - Theory · Physics 2015-06-17 Oscar J. C. Dias , Gary T. Horowitz , Nabil Iqbal , Jorge E. Santos

We construct a holographic superconductor model, based on a gravity theory, which exhibits novel metal-insulator transitions. We investigate the condition for the condensation of the scalar field over the parameter space, and then focus on…

High Energy Physics - Theory · Physics 2018-01-10 Yi Ling , Peng Liu , Jian-Pin Wu , Meng-He Wu

A deconstructed holographic model for an $s$-wave superconductor in $2+1$ dimensions has been proposed in the literature. Here, we consider solutions in the presence of perpendicular magnetic fields, where vortex formed. We calculate the…

High Energy Physics - Theory · Physics 2018-06-07 Zainul Abidin , Herry J. Kwee , Jong Anly Tan

In this paper we consider the asymptotic behavior of the Ginzburg- Landau model for superconductivity in 3-d, in various energy regimes. We rigorously derive, through an analysis via {\Gamma}-convergence, a reduced model for the vortex…

Mathematical Physics · Physics 2015-05-27 Sisto Baldo , Robert L. Jerrard , Giandomenico Orlandi , Mete Soner

We apply time-dependent Ginzburg Landau (TDGL) numerical simulations to study the finite frequency electrodynamics of superconductors subjected to intense rf magnetic field. Much recent TDGL work has focused on spatially uniform external…

Superconductivity · Physics 2020-03-23 Bakhrom Oripov , Steven Anlage

Vortex motion in type II superconductors is studied starting from a variant of the time dependent Ginzburg-Landau equations, in which the order parameter relaxation time is taken to be complex. Using a method due to Gor'kov and Kopnin, we…

Condensed Matter · Physics 2008-11-26 Alan T. Dorsey

The macroscopic electromagnetic properties of type II superconductors are primarily influenced by the behavior of microscopic superconducting flux quantum units. Time-dependent Ginzburg-Landau (TDGL) equations provide an elegant and…

Superconductivity · Physics 2024-06-05 Cun Xue , Qing-Yu Wang , Han-Xi Ren , An He , A. V. Silhanek

Superfluid condensates are known to occur in contexts ranging from laboratory liquid helium to neutron stars, and are also likely to occur in cosmological phenomena such as axion fields. In the zero temperature limit, such condensates are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Brandon Carter

We have simulated the time-dependent Ginzburg-Landau equation with thermal fluctuations, to study the nonlocal dc conductivity of a superconducting film. Having examined points in the phase diagram at a wide range of temperatures and fields…

Condensed Matter · Physics 2012-08-16 Rachel Wortis , David A. Huse

We describe results of Monte Carlo simulations on a model that seems to have the necessary ingredients to describe a disordered type-II superconductor in a magnetic field. We compute the free energy cost to twist the direction of the phase…

Condensed Matter · Physics 2007-05-23 J. D. Reger , A. P. Young

The flux line lattice melting transition in two-dimensional pure and disordered superconductors is studied by a Monte Carlo simulation using the lowest Landau level approximation and quasi-periodic boundary condition on a plane. The…

Superconductivity · Physics 2009-11-07 Mai Suan Li , Thomas Nattermann

The Ginzburg--Landau (GL) equations of superconductivity provide a computational model for the study of magnetic flux vortices in type-II superconductors. In this article we show through numerical examples and rigorous mathematical analysis…

Numerical Analysis · Mathematics 2025-10-20 H. G. Kaper , H. Nordborg

Using a simple analytic approach, we study the universal properties of second-order phase transition in holographic superconductor models. We explore a general model in arbitrary dimensions in which the condensation occurs via the…

High Energy Physics - Theory · Physics 2011-11-03 Chiang-Mei Chen , Ming-Fan Wu