{
  "abstract": "We develop an analytic theory of the recently proposed $U(1)$ symmetry breaking at interacting 1+1D Lifshitz quantum critical points. The low-energy theory contains two compact fields, $θ$ and $ϕ$, coupled by a Berry term that makes $θ$ canonically conjugate to the conserved density $\\partial_xϕ$. Within a controlled large-$N$ limit, we establish long-range order (LRO) of $e^{iβθ}$ and stretched-exponential decay of the conjugate vertex, $\\log\\langle e^{iβϕ(x)}e^{-iβϕ(0)}\\rangle\\propto-|β|^{4/3}|x|^{2/3}$. Beyond large $N$, we argue that $U(1)$ LRO follows if the dynamical exponent satisfies $z\\neq1$, consistent with existing calculations. Using finite-size and infinite-system DMRG, we study an itinerant-electron chain with $U(1)\\rtimes\\mathbb{Z}_2$ symmetry, whose spin sector realizes this theory at a ferromagnetic quantum critical point. We find spin-nematic LRO in $S_i^+S_{i+1}^+$ and stretched-exponential electron Green's functions, revealing distinctive non-Gaussian signatures of criticality-enabled order.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38581",
  "author_total": 4,
  "authors": [
    {
      "name": "E. S. Andriyakhina"
    },
    {
      "name": "A. S. Shankar"
    },
    {
      "name": "T. Senthil"
    },
    {
      "name": "Z. D. Shi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6jgmyvwtv886y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38581",
  "fulltext_url": null,
  "id": "6jgmyvwtv886y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.38581",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7215053304",
  "pdf_url": "https://arxiv.org/pdf/2609.38581",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6jgmyvwtv886y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2609.38581",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38581"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Theory of criticality-enabled $U(1)$ symmetry breaking in a class of 1+1D systems",
  "title_text": "Theory of criticality-enabled U(1) symmetry breaking in a class of 1+1D systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/6jgmyvwtv886y",
  "venue": "arXiv",
  "versions": []
}