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Related papers: Vortex dynamics of a $d+is$-wave superconductor

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We analyze the interplay between a d-wave uniform superconducting and a pair-density-wave (PDW) order parameter in the neighborhood of a vortex. We develop a phenomenological nonlinear sigma-model, solve the saddle point equation for the…

This article is concerned with the integration of the time-dependent Ginzburg-Landau (TDGL) equations of superconductivity. Four algorithms, ranging from fully explicit to fully implicit, are presented and evaluated for stability, accuracy,…

Numerical Analysis · Mathematics 2025-10-20 D. O. Gunter , H. G. Kaper , G. K. Leaf

We describe effects of anisotropy caused by the crystal lattice in d-wave superconductors using effective free energy approach in which only one order parameter, the d-wave order parameter field, is used. All the effects of rotational…

Superconductivity · Physics 2008-02-03 D. Chang , C. -Y. Mou , B. Rosenstein , C. L. Wu

Phenomenological Ginzburg-Landau theory is used to calculate the possible spontaneous vortex states that may exist at corner junctions of $d_{x^2-y^2}+ix$-wave, (where $x=s$ or $x=d_{xy}$) and s-wave superconductors. We study the magnetic…

Superconductivity · Physics 2009-10-31 N. Stefanakis , N. Flytzanis

The presence of magnetic fields and/or transport currents can cause penetration of vortices in superconductors. Their motion leads to dissipation and resistive state arises, which in turn strongly affects the performance of superconducting…

Superconductivity · Physics 2022-09-26 E. C. S. Duarte , E. Sardella , T. T. Saraiva , A. S. Vasenko , R. Zadorosny

We study the non-equilibrium relaxation kinetics of interacting magnetic flux lines in disordered type-II superconductors at low temperatures by means of a three-dimensional elastic line model and Monte Carlo simulations. Investigating the…

Superconductivity · Physics 2011-11-21 Michel Pleimling , Uwe C. Täuber

The time-dependent Ginzburg-Landau approach is used to calculate the complex fluctuation conductivity in layered type-II superconductor under magnetic field. Layered structure of the superconductor is accounted for by means of the…

Superconductivity · Physics 2014-03-21 B. D. Tinh , L. M. Thu , L. V. Hoa

The equilibrium dynamics of a thin film type II superconductor with spherical geometry are investigated numerically in a simulation based on the lowest Landau level approximation to the time-dependent Ginzburg-Landau equation. Both the…

Superconductivity · Physics 2009-10-30 A. K. Kienappel , M. A. Moore

The conditions for the entry of vortices into type-II superconductors being in the Meissner and/or mixed state, are studied by both numerical and analytical solution of the Ginzburg-Landau equations. A modulation instability of the…

Superconductivity · Physics 2016-08-31 D. Yu. Vodolazov , I. L. Maksimov , E. H. Brandt

We have studied theoretically the space-time evolution of the thermal and electromagnetic perturbation in a superconductor with the linear current-voltage characteristic in the flux flow regime. On the basis of a linear analysis of a set of…

Superconductivity · Physics 2014-12-16 N. A. Taylanov , M. Samadov

The dual approach to the Ginzburg-Landau theory of a Bardeen-Cooper-Schrieffer superconductor is reviewed. The dual theory describes a grand canonical ensemble of fluctuating closed magnetic vortices, of arbitrary length and shape, which…

Condensed Matter · Physics 2009-10-28 M. Kiometzis , H. Kleinert , A. M. J. Schakel

An enhancement of vortex-motion damping in thin Pb/In superconducting films is obtained through coupling to an adjacent two-dimensional electron gas formed in a modulation-doped GaAs/AlGaAs heterostructure. This effect is observed by…

Superconductivity · Physics 2007-05-23 M. Danckwerts A. R. Goni , C. Thomsen , K. Eberl , A. G. Rojo

Using a Ginzburg-Landau model, we study the vortex behavior of a rectangular thin film superconductor subjected to an applied current fed into a portion of the sides and an applied magnetic field directed orthogonal to the film. Through a…

Analysis of PDEs · Mathematics 2015-06-12 Lydia Peres Hari , Jacob Rubinstein , Peter Sternberg

The dynamic phase diagram of vortex lattices driven in disorder is calculated in two and three dimensions. A modified Lindemann criterion for the fluctuations of the distance of neighboring vortices is used, which unifies previous analytic…

Superconductivity · Physics 2009-10-30 Stefan Scheidl , Valerii M. Vinokur

In this thesis, we consider the dynamics of vortices in the easy plane insulating ferromagnet in two dimensions. In addition to the quasiparticle excitations, here spin waves or magnons, this magnetic system admits a family of vortex…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Lara Thompson

A set of equations according to which the conducting medium consists of two fluids - laminar and vortex, has been obtained in the present paper by transforming MHD equations. In a similar way, an electronic fluid is assumed to consist of a…

chao-dyn · Physics 2009-10-22 N. B. Volkov , A. M. Iskoldsky

A non-dissipative model for vortex motion in thin superconductors is considered. The Lagrangian is a Galilean invariant version of the Ginzburg--Landau model for time-dependent fields, with kinetic terms linear in the first time derivatives…

High Energy Physics - Theory · Physics 2009-10-30 N. S. Manton

Usually, the measurements of electronic and magnetic properties of superconducting samples are carried out under a constant temperature bath. On the other hand, thermal gradients induce local variation of the superconducting order…

The vortex lattice with the superconducting and normal state charge carriers fractions may be regarded as three independent subsystems mutually connected by interactions. The equation of motion for these three subsystems must be solved…

Superconductivity · Physics 2009-10-31 J. Kolacek , E. Kawate

A simple mechanical method for the investigation of Abrikosov vortex lattice stimulated dynamics in superconductors has been used. By this method we studied the action of pulsed magnetic fields on the vortex lattice and established the…