Fourfold symmetric solutions to the Ginzburg Landau equation for d-wave superconductors
type: Item
instance of: scholarly article
title: Fourfold symmetric solutions to the Ginzburg Landau equation for d-wave superconductors
zbMATH Open document ID: 1242.82050
author: Minkyun Kim
author: Daniel Phillips
published in: Communications in Mathematical Physics
publication date: 2012-03-23T00:00:00Z
review text: This paper deals with the qualitative analysis of solutions of a Ginzburg-Landau system for a high temperature superconductor with tetragonal symmetry. The authors prove the existence and the symmetry of the solutions by means of a contractive mapping. Next, by using the gauge invariance of the Ginzburg-Landau energy, it is proved that the projected solutions are, in fact, true solutions provided that the parameter is sufficiently small. The proofs combine a careful asymptotic analysis with related estimates.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 82D55
Mathematics Subject Classification ID: 35Q56
zbMATH DE Number: 6018044
zbMATH Keywords: Ginzburg-Landau equation
zbMATH Keywords: symmetric solution
zbMATH Keywords: wave superconductor
MaRDI profile type: Publication
full work available at URL: s00220-012-1430-2
OpenAlex ID: W2003075190
cites work: Uniqueness of symmetric vortex solutions in the Ginzburg-Landau model superconductivity
cites work: Theory of Superconductivity
cites work: Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon
cites work: Studies of a Ginzburg--Landau Model ford-Wave Superconductors
cites work: The stability of magnetic vortices
cites work: Fourfold symmetric vortex solutions of thed-wave Ginzburg-Landau equation
cites work: Q3906754
cites work: Vortex State ofd-Wave Superconductors in the Ginzburg--Landau Energy
cites work: Q3260749
cites work: The behavior at infinity of isotropic vortices and monopoles
cites work: Vortices in the magnetic Ginzburg-Landau model
cites work: Pinning of magnetic vortices by an external potential
DOI: 10.1007/S00220-012-1430-2
description: scientific article; zbMATH DE number 6018044