Topological gauge theory of vortices in type-III superconductors
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912026939359232 |
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| author | Diamantini, M. C. Trugenberger, C. A. Vinokur, V. M. |
| author_facet | Diamantini, M. C. Trugenberger, C. A. Vinokur, V. M. |
| contents | Traditional superconductors fall into two categories, type-I, expelling magnetic fields, and type-II, into which magnetic fields exceeding a lower critical field $H_{\rm c1}$ penetrate in form of Abrikosov vortices. Abrikosov vortices are characterized by two spatial scales, the size of the normal core, $ξ$, where the superconducting order parameter is suppressed and the London penetration depth $λ$, describing the scale at which circulating superconducting currents forming vortices start to noticeably drop. Here we demonstrate that a novel type-III superconductivity, realized in granular media in any dimension hosts a novel vortex physics. Type-III vortices have no cores, are logarithmically confined and carry only a gauge scale $λ$. Accordingly, in type-III superconductors $H_{\rm c1}=0$ at zero temperature and the Ginzburg-Landau theory must be replaced by a topological gauge theory. Type-III superconductivity is destroyed not by Cooper pair breaking but by vortex proliferation generalizing the Berezinskii-Kosterlitz-Thouless mechanism to any dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08866 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological gauge theory of vortices in type-III superconductors Diamantini, M. C. Trugenberger, C. A. Vinokur, V. M. Superconductivity Strongly Correlated Electrons Traditional superconductors fall into two categories, type-I, expelling magnetic fields, and type-II, into which magnetic fields exceeding a lower critical field $H_{\rm c1}$ penetrate in form of Abrikosov vortices. Abrikosov vortices are characterized by two spatial scales, the size of the normal core, $ξ$, where the superconducting order parameter is suppressed and the London penetration depth $λ$, describing the scale at which circulating superconducting currents forming vortices start to noticeably drop. Here we demonstrate that a novel type-III superconductivity, realized in granular media in any dimension hosts a novel vortex physics. Type-III vortices have no cores, are logarithmically confined and carry only a gauge scale $λ$. Accordingly, in type-III superconductors $H_{\rm c1}=0$ at zero temperature and the Ginzburg-Landau theory must be replaced by a topological gauge theory. Type-III superconductivity is destroyed not by Cooper pair breaking but by vortex proliferation generalizing the Berezinskii-Kosterlitz-Thouless mechanism to any dimension. |
| title | Topological gauge theory of vortices in type-III superconductors |
| topic | Superconductivity Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2409.08866 |