3D bulk-resolved $g$-wave altermagnetic order parameter in CrSb

[2601.14526] 3D bulk-resolved $g$-wave altermagnetic order parameter in CrSb Skip to main content Search Submit Donate Log in Condensed Matter > Materials Science arXiv:2601.14526 (cond-mat) [Submitted on 20 Jan 2026 ( v1 ), last revised 13 Jul 2026 (this version, v2)] Title: 3D bulk-resolved $g$-wave altermagnetic order parameter in CrSb Authors: Mengmeng Long , Theodore I. Weinberger , Zheyu Wu , Mads F. Hansen , Ran Tao , Mridul Shrestha , Dave Graf , Yurii Skourski , F. Malte Grosche , Alexander G. Eaton View PDF HTML (experimental) Abstract: Electronic phases of matter, such as magnetism and superconductivity, are defined and distinguished by their order parameters quantifying the spontaneous symmetry breaking underlying each phase. Simple cases include the uniform magnetisation of ferromagnets and isotropic gap function of conventional superconductors. Unconventional superconductors often have a nodal gap function, where the gap changes sign at nodes on the Fermi surface. This concept of unconventional/nodal order parameter symmetry has recently been extended to numerous magnetic systems, including altermagnets, in which up- and down-spin species are non-degenerate around the Fermi surface. Here we demonstrate that magnetic quantum oscillation measurements can provide a high resolution, bulk-sensitive, 3D mapping of the order parameter in an unconventional magnet. By rotating a magnetic field through high- and low-symmetry directions of the CrSb Brillouin zone, we show that this material's altermagnetic band structure leads to a reduction of symmetry for each spin-split Fermi sheet away from nodal orientations. In momentum space, the exchange splitting between up and down spins follows the profile of the $\mathcal{Y}_{4}^{-3}=zy(3x^2-y^2)$ real spherical harmonic - analogous to a $g$-orbital of the hydrogen atom. While notoriously difficult to resolve in unconventional superconductors, our work demonstrates that the order parameter symmetry of unconventional magnets can be precisely mapped via quantum-oscillatory quasiparticle spectroscopy, establishing CrSb as a prototypical $g$-wave metallic altermagnet. Subjects: Materials Science (cond-mat.mtrl-sci) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Strongly Correlated Electrons (cond-mat.str-el) Cite as: arXiv:2601.14526 [cond-mat.mtrl-sci] (or arXiv:2601.14526v2 [cond-mat.mtrl-sci] for this version) https://doi.org/10.48550/arXiv.2601.14526 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Nature 656, 854-860 (2026) Related DOI : https://doi.org/10.1038/s41586-026-10902-z Focus to learn more DOI(s) linking to related resources Submission history From: Alexander Eaton [ view email ] [v1] Tue, 20 Jan 2026 22:40:35 UTC (5,023 KB) [v2] Mon, 13 Jul 2026 09:44:39 UTC (5,887 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.mtrl-sci < prev | next > new | recent | 2026-01 Change to browse by: cond-mat cond-mat.mes-hall cond-mat.str-el 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. 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