On the zero set of the wave function in superconductivity
type: Item
instance of: scholarly article
title: On the zero set of the wave function in superconductivity
zbMATH Open document ID: 0938.82063
author: Jorge Berger
author: Jacob Rubinstein
published in: Communications in Mathematical Physics
publication date: 2000-02-17T00:00:00Z
review text: This paper considers the Ginzburg-Landau functional in a multiply connected planar domain with enclosed magnetic flux. The zero set of the order parameter is described. It is proved that there exist applied fields for which the zero et is of codimension 1. These results give a justification to the phase transition diagram of the nonuniform superconducting rings. The appearance of a singly connected state has effects on the behaviour of the supercurrent. Theorem 3 of this paper provides a theoretical support to the phase transition picture for arbitrary thickness provided some condition holds.
reviewed by: Yves Cherruault
Mathematics Subject Classification ID: 82D55
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 1335321
zbMATH Keywords: wave function
zbMATH Keywords: superconductivity
zbMATH Keywords: Ginzburg-Landau functional
zbMATH Keywords: zero set
zbMATH Keywords: phase transition
MaRDI profile type: Publication
full work available at URL: s002200050598
OpenAlex ID: W2039527572
DOI: 10.1007/S002200050598
description: scientific article; zbMATH DE number 1335321