{
  "abstract": "The phase diagram of the two-dimensional quantum $J_1$-$J_3$ Heisenberg antiferromagnet on a square lattice is a long-standing open problem. Despite recent advances in numerical techniques for quantum spin models, a detailed analytical theory is still lacking. We address this problem using a semiclassical approach based on a continuum nonlinear sigma model effective field theory, applying the nonperturbative large-$N$ technique to map out the phase diagram and determine the magnetic correlations. We show that previously-overlooked interactions are crucial for stabilizing a vestigial nematic phase, both at finite and zero temperature. Our results reveal that the spontaneous breaking of global symmetries in the $J_1$-$J_3$ model is controlled by the strength of infrared quantum fluctuations which are enhanced by proximity to the classical Lifshitz point.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. B 114, 134414 (2026)",
  "arxiv": "2606.00211",
  "author_total": 2,
  "authors": [
    {
      "name": "Matthew C. O'Brien"
    },
    {
      "name": "Eduardo Fradkin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4p2j6dqffvzj3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.00211",
  "fulltext_url": null,
  "id": "4p2j6dqffvzj3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.00211",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2606.00211",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4p2j6dqffvzj3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2606.00211",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.00211"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Vestigial Nematic Order at Zero Temperature in Two-Dimensional Frustrated Quantum Antiferromagnets",
  "title_text": "Vestigial Nematic Order at Zero Temperature in Two-Dimensional Frustrated Quantum Antiferromagnets",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:07Z",
  "url": "https://research.draconitic.com/paper/4p2j6dqffvzj3",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/pc2v-whsy",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}