Superconductivity in Jellium Model Revisited

[2606.29306] Superconductivity in Jellium Model Revisited Skip to main content Search Submit Donate Log in Condensed Matter > Superconductivity arXiv:2606.29306 (cond-mat) [Submitted on 28 Jun 2026] Title: Superconductivity in Jellium Model Revisited Authors: Michael V. Sadovskii View PDF HTML (experimental) Abstract: We reanalyze superconductivity in jellium model within the dielectric formalism developed by Kirzhnits, Maksimov, and Khomskii (KMK), which is probably the most reliable approach to this model. The linearized KMK integral equation for superconducting transition temperature is analyzed analytically and solved numerically by direct diagonalization to obtain $T_c$ dependence on Wigner - Seitz radius $r_s$. As a first systematic extension beyond random - phase approximation (RPA), static Hubbard local - field corrections are incorporated into the dielectric function. Our results in general narrow the interval of possible $T_c$ values in comparison with widely scattered results of some of the previous works. For the case of metallic hydrogen our calculations show $T_c(r_s)$ dependence with characteristic dome with maximum of $T_c$ at $r_s\sim$ 9.0 of the order of some fractions of Kelvin only, despite the naive expectations based on the high values of pairing Boson frequency. This is due to the weak - coupling regime of superconductivity in jellium model at all densities. Comments: 11 pages, 6 figures Subjects: Superconductivity (cond-mat.supr-con) Cite as: arXiv:2606.29306 [cond-mat.supr-con] (or arXiv:2606.29306v1 [cond-mat.supr-con] for this version) https://doi.org/10.48550/arXiv.2606.29306 Focus to learn more arXiv-issued DOI via DataCite Journal reference: JETP v. 170, 236-247 (2026) Related DOI : https://doi.org/10.31857/S0044451026090044 Focus to learn more DOI(s) linking to related resources Submission history From: Michael Sadovskii [ view email ] [v1] Sun, 28 Jun 2026 10:01:18 UTC (833 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 | 2026-06 Change to browse by: cond-mat References & Citations 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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