Interacting Chern insulator transition on the sphere: revealing the Gross-Neveu-Yukawa criticality

[2504.15338] Interacting Chern insulator transition on the sphere: revealing the Gross-Neveu-Yukawa criticality Skip to main content Search Submit Donate Log in Condensed Matter > Strongly Correlated Electrons arXiv:2504.15338 (cond-mat) [Submitted on 21 Apr 2025 ( v1 ), last revised 28 Aug 2026 (this version, v3)] Title: Interacting Chern insulator transition on the sphere: revealing the Gross-Neveu-Yukawa criticality Authors: Zhi-Qiang Gao , Taige Wang , Dung-Hai Lee View PDF HTML (experimental) Abstract: In two spatial dimensions, the transition between topological and trivial Chern insulators exemplifies a class of beyond-Landau critical phenomena. We show that the interaction-driven multicritical point of this transition falls into the Gross-Neveu-Yukawa (GNY) universality class, a topic of considerable interest in both high-energy and condensed matter physics. In this work, we focus on the $N=2$ case of the GNY criticality. We employ exact diagonalization of Dirac fermions on a sphere to circumvent the parity anomaly, capitalize on full $SO(3)$ symmetry to reduce finite-size effects, and directly extract operator scaling dimensions from the excitation spectrum. Despite working with only modest system sizes, our results closely match conformal bootstrap predictions for low-scaling dimension operators and reveal several previously uncharacterized higher primaries. These findings highlight the efficacy of spherical geometry for probing interacting Dirac criticality. Comments: 7+12 pages, 3 figures Subjects: Strongly Correlated Electrons (cond-mat.str-el) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th) Cite as: arXiv:2504.15338 [cond-mat.str-el] (or arXiv:2504.15338v3 [cond-mat.str-el] for this version) https://doi.org/10.48550/arXiv.2504.15338 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. Lett. 137, 166603 (2026) Related DOI : https://doi.org/10.1103/b8b7-scc5 Focus to learn more DOI(s) linking to related resources Submission history From: Zhi-Qiang Gao [ view email ] [v1] Mon, 21 Apr 2025 18:00:01 UTC (166 KB) [v2] Mon, 5 May 2025 11:53:31 UTC (164 KB) [v3] Fri, 28 Aug 2026 03:32:10 UTC (412 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 | 2025-04 Change to browse by: cond-mat cond-mat.mes-hall cond-mat.stat-mech 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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