Récemment, des modèles Ginzburg–Landau avec spineur ont été développés afin de tenir compte des effets ferromagnétiques et antiferromagnétiques observés dans les supraconducteurs à haute temperature ainsi que dans les condensats de Bose–Einstein. Nous montrons que les minimiseurs ont de nouveaux type de vortex ayant des degrés fractionnaires et un spin non-nul au coeur.
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 Note we observe that such models can lead to new types of vortices, with fractional degree and non-trivial core structure.
Accepté le :
Publié le :
Stan Alama 1 ; Lia Bronsard 1
@article{CRMATH_2003__337_4_243_0,
author = {Stan Alama and Lia Bronsard},
title = {Des vortex fractionnaires pour un mod\`ele {Ginzburg{\textendash}Landau} spineur},
journal = {Comptes Rendus. Math\'ematique},
pages = {243--247},
publisher = {Elsevier},
volume = {337},
number = {4},
year = {2003},
doi = {10.1016/S1631-073X(03)00342-X},
language = {fr},
}
Stan Alama; Lia Bronsard. Des vortex fractionnaires pour un modèle Ginzburg–Landau spineur. Comptes Rendus. Mathématique, Volume 337 (2003) no. 4, pp. 243-247. doi : 10.1016/S1631-073X(03)00342-X. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00342-X/
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