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Comptes Rendus Mathématique
Volume 357, n° 2
pages 216-220 (février 2019)
Doi : 10.1016/j.crma.2019.01.003
Received : 20 November 2018 ;  accepted : 10 January 2019
Superconductivity and the Aharonov–Bohm effect
Supraconductivité et effet Aharonov–Bohm
 

Ayman Kachmar a , XingBin Pan b
a Department of Mathematics, Lebanese University, Nabatieh, Lebanon 
b Department of Mathematics, East China Normal University, and NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai, Shanghai 200062, PR China 

Abstract

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.

The full text of this article is available in PDF format.
Résumé

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.

The full text of this article is available in PDF format.


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