Enhanced Superconductivity at a Corner for the Linear BCS Equation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910971617869824 |
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| author | Roos, Barbara Seiringer, Robert |
| author_facet | Roos, Barbara Seiringer, Robert |
| contents | We consider the critical temperature for superconductivity, defined via the linear BCS equation. We prove that at weak coupling the critical temperature for a sample confined to a quadrant in two dimensions is strictly larger than the one for a half-space, which in turn is strictly larger than the one for $\mathbb{R}^2$. Furthermore, we prove that the relative difference of the critical temperatures vanishes in the weak coupling limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_07115 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Enhanced Superconductivity at a Corner for the Linear BCS Equation Roos, Barbara Seiringer, Robert Mathematical Physics Superconductivity 81Q10 (Primary) 82D55 (Secondary) We consider the critical temperature for superconductivity, defined via the linear BCS equation. We prove that at weak coupling the critical temperature for a sample confined to a quadrant in two dimensions is strictly larger than the one for a half-space, which in turn is strictly larger than the one for $\mathbb{R}^2$. Furthermore, we prove that the relative difference of the critical temperatures vanishes in the weak coupling limit. |
| title | Enhanced Superconductivity at a Corner for the Linear BCS Equation |
| topic | Mathematical Physics Superconductivity 81Q10 (Primary) 82D55 (Secondary) |
| url | https://arxiv.org/abs/2308.07115 |