FRACTIONAL DEGREE VORTICES FOR A SPINOR GINZBURG–LANDAU MODEL-Reference-Cited by-同舟云学术

FRACTIONAL DEGREE VORTICES FOR A SPINOR GINZBURG–LANDAU MODEL

Published:2006-06 Issue:03 Volume:08 Page:355-380
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

ALAMA STAN¹,BRONSARD LIA¹

Affiliation:

1. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1, Canada

Abstract

Recent papers in the physics literature have introduced spin-coupled (or spinor) Ginzburg–Landau models for complex vector-valued order parameters in order to account for ferromagnetic or antiferromagnetic effects in high-temperature superconductors and in optically confined Bose–Einstein condensates. In this paper, we show that such models give rise to new types of vortices, with fractional degree and nontrivial core structure. We illustrate the various possibilites with some specific examples of Dirichlet problems in the unit disk.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199706002143

Reference10 articles.

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