The geometry of induced currents in two dimensional media

[2308.09335] The geometry of induced currents in two dimensional media Skip to main content Search Submit Donate Log in Condensed Matter > Superconductivity arXiv:2308.09335 (cond-mat) [Submitted on 18 Aug 2023 ( v1 ), last revised 26 Jul 2024 (this version, v2)] Title: The geometry of induced currents in two dimensional media Authors: Cesar S. Lopez-Monsalvo , Servando Vargas-Serdio , Julian A. Alzate-Cardenas , Daniel Flores-Alfonso View PDF HTML (experimental) Abstract: 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. Comments: Revised version of the manuscript (with updated title and abstract) as it was accepted for publication Subjects: Superconductivity (cond-mat.supr-con) ; Mathematical Physics (math-ph); Classical Physics (physics.class-ph) Cite as: arXiv:2308.09335 [cond-mat.supr-con] (or arXiv:2308.09335v2 [cond-mat.supr-con] for this version) https://doi.org/10.48550/arXiv.2308.09335 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Proc.R.Soc.A. 480 (2024) 20230805 Related DOI : https://doi.org/10.1098/rspa.2023.0805 Focus to learn more DOI(s) linking to related resources Submission history From: Servando Vargas Serdio [ view email ] [v1] Fri, 18 Aug 2023 06:31:11 UTC (13 KB) [v2] Fri, 26 Jul 2024 20:07:38 UTC (21 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.supr-con < prev | next > new | recent | 2023-08 Change to browse by: cond-mat math math-ph math.MP physics physics.class-ph References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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