{
  "abstract": "In a recent paper Nahum argued on the basis of a renormalization-group analysis that, contrary to standard lore, ground states of 1D spin chains with short-range interactions can spontaneously break U(1) ``easy-plane'' spin rotation symmetry. True long-range order of $(S^x,S^y)$ arises at the phase transition between two quasi-long-range-ordered phases. Here we present detailed numerical results for an anisotropic spin-1 chain model. We find a magnetization exponent $β\\approx0.29$, consistent with the $ε$-expansion prediction $β\\approx0.28$, a divergence of the Luttinger parameter on approaching the transition from both sides with an exponent that we relate to Nahum's transition, and finite-size spectra consistent with a dynamical critical exponent $z\\approx2$. Our results support the critical behavior predicted by Nahum's field theory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.31319",
  "author_total": 2,
  "authors": [
    {
      "name": "Natalia Chepiga"
    },
    {
      "name": "Fabian H. L. Essler"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/05vnhyek16zwe.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31319",
  "fulltext_url": null,
  "id": "05vnhyek16zwe",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31319",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7214625929",
  "pdf_url": "https://arxiv.org/pdf/2609.31319",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/05vnhyek16zwe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:52Z",
      "native_id": "2609.31319",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31319"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Criticality enabled long-range order in a U(1)-symmetric spin-1 Heisenberg chain with biquadratic interactions",
  "title_text": "Criticality enabled long-range order in a U(1)-symmetric spin-1 Heisenberg chain with biquadratic interactions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:52Z",
  "url": "https://research.draconitic.com/paper/05vnhyek16zwe",
  "venue": "arXiv",
  "versions": []
}