Comptes Rendus
no. 2
Mathematical physics
Superconductivity and the Aharonov–Bohm effect

Presented by: Jean-Michel Coron

Ayman Kachmar1; XingBin Pan2
1 Department of Mathematics, Lebanese University, Nabatieh, Lebanon
2 Department of Mathematics, East China Normal University, and NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai, Shanghai 200062, PR China
Comptes Rendus. Mathématique, Volume 357 (2019) no. 2, pp. 216-220.

We consider the influence of the Aharonov–Bohm magnetic potential on the onset of superconductivity within the Ginzburg–Landau model. As the flux of the magnetic potential varies, we obtain a relation with the Little–Parks effect.

Nous considérons l'influence du potentiel magnétique d'Aharonov–Bohm sur le démarrage de la supraconductivité dans le modèle de Ginzburg–Landau. Lorsque le flux du potentiel magnétique varie, nous obtenons une relation avec l'effet Little–Parks.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2019.01.003

Ayman Kachmar 1; XingBin Pan 2

1 Department of Mathematics, Lebanese University, Nabatieh, Lebanon
2 Department of Mathematics, East China Normal University, and NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai, Shanghai 200062, PR China 
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Ayman Kachmar; XingBin Pan. Superconductivity and the Aharonov–Bohm effect. Comptes Rendus. Mathématique, Volume 357 (2019) no. 2, pp. 216-220. doi : 10.1016/j.crma.2019.01.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.01.003/

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