{
  "abstract": "The Hohenberg-Mermin-Wagner theorem motivates the expectation that continuous symmetry remains unbroken in one-dimensional quantum ground states. Here, contrary to this expectation, we demonstrate the spontaneous breaking of U(1) spin-rotation symmetry and the emergence of an interacting quantum critical point in lattice spin-$1/2$ and spin-$1$ chains. Using subsystem Binder scaling, we locate the critical point and determine the correlation-length critical exponent as $ν= 0.60 \\pm 0.02$, distinct from the Gaussian value $1/2$ but consistent with the perturbative renormalization-group value. We further estimate the dynamical critical exponent to be $z = 1.986 \\pm 0.005$ from the lowest neutral excitation gap and $z = 1.955 \\pm 0.021$ from the longitudinal spin correlations. The results $z < 2$ are incompatible with microscopic realizations of this critical theory by frustration-free models, implying a mechanism for continuous symmetry breaking in one-dimensional quantum ground states distinct from frustration freeness.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06682",
  "author_total": 2,
  "authors": [
    {
      "name": "Mutsumi Shimomura"
    },
    {
      "name": "Kohei Kawabata"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4tvjn6rq7571w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06682",
  "fulltext_url": null,
  "id": "4tvjn6rq7571w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06682",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7220717663",
  "pdf_url": "https://arxiv.org/pdf/2610.06682",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4tvjn6rq7571w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.06682",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06682"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Interacting quantum criticality with U(1) symmetry breaking in 1+1 dimensions",
  "title_text": "Interacting quantum criticality with U(1) symmetry breaking in 1+1 dimensions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/4tvjn6rq7571w",
  "venue": "arXiv",
  "versions": []
}