{
  "abstract": "We study the fate of quantum solids with a vanishing velocity of transverse phonons. Such ``floppy'' solids exhibit a cubic elastic nonlinearity that is relevant in spatial dimensions $d<4$ and drives the system to a strongly-coupled Lifshitz quantum critical point in $d=3$, that we analyze in an $ε= 4-d$ expansion. The associated phase transition is generically first-order, preempting the system's full access to the strongly-coupled fixed point. Nevertheless, the critical data of this quantum critical point is accessible within a Ginzburg region in the vicinity of the transition. This cubic nonlinearity vanishes exactly in $d=2$, where the leading interactions are instead quartic and are marginal, leading to weak logarithmic singularities. We discuss possible realizations of this ``crystal Lifshitz criticality'' in quantum materials.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16147",
  "author_total": 3,
  "authors": [
    {
      "name": "Subham Dutta Chowdhury"
    },
    {
      "name": "Leo Radzihovsky"
    },
    {
      "name": "Luca V. Delacrétaz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0qehehhhhvfqy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16147",
  "fulltext_url": null,
  "id": "0qehehhhhvfqy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16147",
  "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"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7213416965",
  "pdf_url": "https://arxiv.org/pdf/2609.16147",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0qehehhhhvfqy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.16147",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16147"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Quantum Critical Solids",
  "title_text": "Quantum Critical Solids",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/0qehehhhhvfqy",
  "venue": "arXiv",
  "versions": []
}