Local strong magnetic fields and the Little-Parks effect
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908988218540032 |
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| author | Kachmar, Ayman Sundqvist, Mikael |
| author_facet | Kachmar, Ayman Sundqvist, Mikael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09099 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local strong magnetic fields and the Little-Parks effect Kachmar, Ayman Sundqvist, Mikael Analysis of PDEs Mathematical Physics Spectral Theory 35Q56, 35P20, 81Q20 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. |
| title | Local strong magnetic fields and the Little-Parks effect |
| topic | Analysis of PDEs Mathematical Physics Spectral Theory 35Q56, 35P20, 81Q20 |
| url | https://arxiv.org/abs/2405.09099 |