The geometry of induced currents in two dimensional media
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909270027534336 |
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| author | Lopez-Monsalvo, Cesar S. Vargas-Serdio, Servando Alzate-Cardenas, Julian A. Flores-Alfonso, Daniel |
| author_facet | Lopez-Monsalvo, Cesar S. Vargas-Serdio, Servando Alzate-Cardenas, Julian A. Flores-Alfonso, Daniel |
| contents | We present a framework that allows us to clearly identify the geometric features underlying the phenomenon of superconductivity in two dimensional materials. In particular, we show that any such medium whose response to an externally applied electromagnetic field is a geodesically flowing induced current, must be a superconductor. In this manner, we conclude that the underlying geometry of this type of media is that of a Lorentzian contact manifold. Moreover, we show that the macroscopic hallmark of their superconducting state is a purely topological condition equivalent to the geodesic nature of the induced current: the non-vanishing of its helicity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_09335 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The geometry of induced currents in two dimensional media Lopez-Monsalvo, Cesar S. Vargas-Serdio, Servando Alzate-Cardenas, Julian A. Flores-Alfonso, Daniel Superconductivity Mathematical Physics Classical Physics We present a framework that allows us to clearly identify the geometric features underlying the phenomenon of superconductivity in two dimensional materials. In particular, we show that any such medium whose response to an externally applied electromagnetic field is a geodesically flowing induced current, must be a superconductor. In this manner, we conclude that the underlying geometry of this type of media is that of a Lorentzian contact manifold. Moreover, we show that the macroscopic hallmark of their superconducting state is a purely topological condition equivalent to the geodesic nature of the induced current: the non-vanishing of its helicity. |
| title | The geometry of induced currents in two dimensional media |
| topic | Superconductivity Mathematical Physics Classical Physics |
| url | https://arxiv.org/abs/2308.09335 |