{
  "abstract": "Early string descriptions of doped antiferromagnets associate hole motion in a locally Néel-ordered background with a path-dependent antiferromagnetic string. We ask what becomes of this mechanism when long range Néel order is lost while short range antiferromagnetic correlations persist. In a singlet bond representation, the underlying basis states do not assign an oriented \\(A/B\\) spin registration to each bond. Therefore, any surviving long wavelength antiferromagnetic axis is naturally described as a director, \\(\\mathbf n\\sim-\\mathbf n\\). Long range Néel order can nevertheless provide a global \\(S^2\\) lift of this director field; when that long range registration is lost, non liftable configurations of the \\(RP^2\\) manifold become physically accessible, opening a topologically nontrivial \\(\\mathbb Z_2\\) sector. Its elementary defects are half vortices that globally minimize the \\(RP^2\\) \\(σ\\)-model energy within the nontrivial \\(\\mathbb Z_2\\) sector. An \\textit{a posteriori} energetic comparison further shows that the projective half vortex texture is softer than the corresponding vector reference texture. A pair of half vortices with opposite windings is logarithmically confined, \\(V(R) = κ\\ln\\left(R/r_{\\text{core}}\\right)\\), \\(κ= πρ_s /2\\). The resulting confinement is carried not by a one dimensional string but by an extended two-dimensional spin texture. Thus, the loss of long-range Néel order does not eliminate antiferromagnetic confinement but removes the global Néel lift. This activates a distinct projective mechanism in which a local path dependent string is replaced, at long wavelengths, by a global topological texture with logarithmic confinement.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30346",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuri DiMaggio"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cxbq2yk55r5y0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30346",
  "fulltext_url": null,
  "id": "cxbq2yk55r5y0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30346",
  "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",
      "cond-mat.supr-con"
    ],
    [
      "openalex",
      "3104|Physics of Superconductivity and Magnetism"
    ]
  ],
  "openalex": "W7214636082",
  "pdf_url": "https://arxiv.org/pdf/2609.30346",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cxbq2yk55r5y0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2609.30346",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30346"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "What Becomes of the Antiferromagnetic String When Long Range Neel Order Is Lost? Exact Results",
  "title_text": "What Becomes of the Antiferromagnetic String When Long Range Neel Order Is Lost? Exact Results",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/cxbq2yk55r5y0",
  "venue": "arXiv",
  "versions": []
}