On the structure of fractional degree vortices in a spinor Ginzburg-Landau model

Stan Alama (1) , Lia Bronsard (1) , Petru Mironescu (2)

1 Department of Mathematics and Statistics [Hamilton]
2 EDPA - Équations aux dérivées partielles, analyse

We consider a vector-valued Ginzburg-Landau model whose minimizers exhibit vortices with half-integer degree. By studying the associated system of equations in ${\mathbb R}^2$ which describes the local structure of these vortices, we show some new and unconventional properties of these vortices.

Mots clés: half-integer degrees; spinor; Ginzburg-Landau

Domaines: Equations aux dérivées partielles [math.AP]

Stan Alama, Lia Bronsard, Petru Mironescu. On the structure of fractional degree vortices in a spinor Ginzburg-Landau model. Journal of Functional Analysis, 2009, 256 (4), pp.1118-1136. ⟨hal-00358357⟩