BCS Critical Temperature on Half-Spaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866918036898840576 |
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| author | Roos, Barbara Seiringer, Robert |
| author_facet | Roos, Barbara Seiringer, Robert |
| contents | We study the BCS critical temperature on half-spaces in dimensions $d=1,2,3$ with Dirichlet or Neumann boundary conditions. We prove that the critical temperature on a half-space is strictly higher than on $\mathbb{R}^d$, at least at weak coupling in $d=1,2$ and weak coupling and small chemical potential in $d=3$. Furthermore, we show that the relative shift in critical temperature vanishes in the weak coupling limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_05824 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | BCS Critical Temperature on Half-Spaces Roos, Barbara Seiringer, Robert Mathematical Physics Superconductivity 81Q10 (Primary) 82D55 (Secondary) We study the BCS critical temperature on half-spaces in dimensions $d=1,2,3$ with Dirichlet or Neumann boundary conditions. We prove that the critical temperature on a half-space is strictly higher than on $\mathbb{R}^d$, at least at weak coupling in $d=1,2$ and weak coupling and small chemical potential in $d=3$. Furthermore, we show that the relative shift in critical temperature vanishes in the weak coupling limit. |
| title | BCS Critical Temperature on Half-Spaces |
| topic | Mathematical Physics Superconductivity 81Q10 (Primary) 82D55 (Secondary) |
| url | https://arxiv.org/abs/2306.05824 |