Inverted duality of Hubbard model and an equation for the Green's function

[2409.09562] Inverted duality of Hubbard model and an equation for the Green's function Skip to main content Search Submit Donate Log in Condensed Matter > Strongly Correlated Electrons arXiv:2409.09562 (cond-mat) [Submitted on 15 Sep 2024 ( v1 ), last revised 25 Aug 2026 (this version, v5)] Title: Inverted duality of Hubbard model and an equation for the Green's function Authors: Xiao-Yong Feng View PDF HTML (experimental) Abstract: The Hubbard model, a cornerstone in the field of condensed matter physics, serves as a fundamental framework for investigating the behavior of strongly correlated electron systems. This paper presents a novel perspective on the model, uncovering its inherent inverted duality which has profound implications for our comprehension of this complex system. Taking advantage of this special mathematical property, we have formulated an equation that the electron Green's function must satisfy. Our findings pave the way for further exploration and potentially new insights into the dynamics of electron correlations and phase transitions in the Hubbard model. Comments: The published version Subjects: Strongly Correlated Electrons (cond-mat.str-el) Cite as: arXiv:2409.09562 [cond-mat.str-el] (or arXiv:2409.09562v5 [cond-mat.str-el] for this version) https://doi.org/10.48550/arXiv.2409.09562 Focus to learn more arXiv-issued DOI via DataCite Journal reference: J.Phys.:Condens.Matter 38 (2026)125604 Related DOI : https://doi.org/10.1088/1361-648X/ae50c1 Focus to learn more DOI(s) linking to related resources Submission history From: Feng Xiao-Yong [ view email ] [v1] Sun, 15 Sep 2024 00:03:26 UTC (41 KB) [v2] Mon, 30 Sep 2024 15:49:33 UTC (42 KB) [v3] Thu, 21 Nov 2024 12:53:34 UTC (42 KB) [v4] Thu, 22 May 2025 07:30:14 UTC (43 KB) [v5] Tue, 25 Aug 2026 06:16:06 UTC (40 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 | 2024-09 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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