Anomalous phonon dispersion near yielding in athermal crystals

[2603.26825] Anomalous phonon dispersion near yielding in athermal crystals Skip to main content Search Submit Donate Log in Condensed Matter > Materials Science arXiv:2603.26825 (cond-mat) [Submitted on 27 Mar 2026] Title: Anomalous phonon dispersion near yielding in athermal crystals Authors: Fumiaki Nakai , Michio Otsuki , Kuniyasu Saitoh , Hiroaki Katsuragi View PDF HTML (experimental) Abstract: Vibrational properties of ordered athermal solids near yielding remain poorly understood. We show that yielding in a sheared crystal is governed not by a single localized instability but by directionally extended multimode softening that forms a cross-shaped low-frequency region in wave number space. Near yielding, the acoustic dispersion $\omega\sim k$ is replaced by $\omega\sim k^2$ along the soft direction, and the vibrational density of states crosses over from Debye to non-Debye scaling, with a diverging length scale. We analytically derive these scaling laws. Comments: 7 pages, 5 figures Subjects: Materials Science (cond-mat.mtrl-sci) ; Soft Condensed Matter (cond-mat.soft); Statistical Mechanics (cond-mat.stat-mech) Cite as: arXiv:2603.26825 [cond-mat.mtrl-sci] (or arXiv:2603.26825v1 [cond-mat.mtrl-sci] for this version) https://doi.org/10.48550/arXiv.2603.26825 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. E 114, 025422 (2026) Related DOI : https://doi.org/10.1103/3lnj-1ml1 Focus to learn more DOI(s) linking to related resources Submission history From: Fumiaki Nakai Ph.D. [ view email ] [v1] Fri, 27 Mar 2026 01:22:49 UTC (1,346 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 | 2026-03 Change to browse by: cond-mat cond-mat.soft cond-mat.stat-mech 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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