Topological Charge-2ne Superconductors

[2512.21325] Topological Charge-2ne Superconductivity and Clustering Hierarchy Skip to main content Search Submit Donate Log in Condensed Matter > Strongly Correlated Electrons arXiv:2512.21325 (cond-mat) [Submitted on 24 Dec 2025 ( v1 ), last revised 19 Oct 2026 (this version, v5)] Title: Topological Charge-2ne Superconductivity and Clustering Hierarchy Authors: Zhi-Qiang Gao , Yan-Qi Wang , Hui Yang , Congjun Wu View PDF HTML (experimental) Abstract: Charge-$2ne$ superconductors condense clusters of more than two electrons, extending superconductivity beyond Cooper pairing. They exhibit distinctive signatures including fractional flux quantization $h/(2ne)$ and are actively being explored in strongly correlated systems. We develop a general framework for constructing and characterizing \emph{topological} charge-$2ne$ superconductors by combining wavefunction and field theory approaches. Generalizing the Read-Green wavefunction and Higgsing Read-Rezayi-type states yield two families that can support deconfined non-Abelian anyons and non-Abelian superconducting vortices. The first family also admits a construction from doping Jain states. Through Higgs theories, we find that the first and second families realize weak and intermediate clustering regimes, respectively, distinguished by the topology of vortices carrying flux greater than $h/(2ne)$, while strong clustering yields a charge-$2ne$ superconductor without intrinsic topological order. These reveal that higher-charge superconductivity supports a richer hierarchy of topological phases beyond the Read-Green weak-strong pairing dichotomy, with distinct internal clustering structures giving rise to different topological structures at fixed condensate charge. Comments: 7+5 pages, 2+0 figures Subjects: Strongly Correlated Electrons (cond-mat.str-el) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Superconductivity (cond-mat.supr-con); High Energy Physics - Theory (hep-th) Cite as: arXiv:2512.21325 [cond-mat.str-el] (or arXiv:2512.21325v5 [cond-mat.str-el] for this version) https://doi.org/10.48550/arXiv.2512.21325 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Zhi-Qiang Gao [ view email ] [v1] Wed, 24 Dec 2025 18:50:43 UTC (36 KB) [v2] Wed, 4 Feb 2026 12:32:04 UTC (39 KB) [v3] Wed, 10 Jun 2026 08:24:36 UTC (45 KB) [v4] Fri, 28 Aug 2026 03:16:30 UTC (46 KB) [v5] Mon, 19 Oct 2026 22:59:20 UTC (377 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.str-el < prev | next > new | recent | 2025-12 Change to browse by: cond-mat cond-mat.mes-hall cond-mat.supr-con hep-th References & Citations INSPIRE HEP SciX 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)

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