{
  "abstract": "In case a crystal is close to a continuous elastic phase transition, pronounced critical fluctuations emerge. We show that on the level of linear elasticity theory the displacement vector for these critical modes obeys a condition reminiscent of the conformal Killing equation. For an isostructural instability, four critical modes arise corresponding to one dilation and three special conformal transformations. At crystal symmetry-breaking instabilities, the critical fluctuations include a continuum of modes even for crystals with finite size. For certain cases, these comprise the conformal transformations associated with two-dimensional Minkowski space. These results have implications for critical elastic phenomena as well as for extremal mechanical metamaterials.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17920",
  "author_total": 3,
  "authors": [
    {
      "name": "Lars Franke"
    },
    {
      "name": "Nick Sander"
    },
    {
      "name": "Markus Garst"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/59epr2w2m3jrv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17920",
  "fulltext_url": null,
  "id": "59epr2w2m3jrv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17920",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "2210|Advanced Materials and Mechanics"
    ]
  ],
  "openalex": "W7221806190",
  "pdf_url": "https://arxiv.org/pdf/2610.17920",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/59epr2w2m3jrv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2610.17920",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17920"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Conformal soft modes at elastic instabilities",
  "title_text": "Conformal soft modes at elastic instabilities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:11Z",
  "url": "https://research.draconitic.com/paper/59epr2w2m3jrv",
  "venue": "arXiv",
  "versions": []
}