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arXiv · 2405.09099

Local strong magnetic fields and the Little-Parks effect

Ayman Kachmar·Mikael Sundqvist
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Abstract

Starting from the Ginzburg--Landau model in a planar simply connected domain, with a local compactly supported applied magnetic field, we derive an effective model in the strong field limit, defined on a non-simply connected domain. The effective model features oscillations in the Little-Parks and Aharonov--Bohm spirit. We discuss also a similar question for the lowest eigenvalue of the magnetic Laplacian.

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Ayman Kachmar, Mikael Sundqvist. 2024-05-15. Local strong magnetic fields and the Little-Parks effect. https://arxiv.org/abs/2405.09099

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