{
  "abstract": "We study itinerant hole doping of the spin-$1$ Haldane symmetry-protected topological (SPT) phase in two $t$--$J$ chains coupled by ferromagnetic (FM) Hund exchange. Density-matrix renormalization group calculations show that string order, a finite spin gap, and the Haldane entanglement structure coexist over a broad doping range. Combined with entanglement-entropy scaling consistent with a single gapless charge mode, these results support a metallic doped Haldane SPT with a $C1S0$ low-energy description. At low doping, short-range charge correlations reduce the density of spin-$1/2$ defect rungs, whereas at larger doping their positions become nearly uncorrelated while their spins are collectively incorporated into the correlated spin sector. The doped Haldane SPT terminates in a fully spin-polarized FM phase, which forms a reentrant pocket at high doping in the global phase diagram. Dilute-limit analyses trace the two FM boundaries to spin--charge factorization at weak Hund coupling and to rung-triplet binding with reduced pair mobility at strong Hund coupling. Our results show how mobile carriers reorganize the Haldane spin structure while preserving its characteristic signatures.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11591",
  "author_total": 1,
  "authors": [
    {
      "name": "Satoshi Nishimoto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b1sngjbkyd75c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11591",
  "fulltext_url": null,
  "id": "b1sngjbkyd75c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11591",
  "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"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7212262072",
  "pdf_url": "https://arxiv.org/pdf/2609.11591",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b1sngjbkyd75c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2609.11591",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11591"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Robust Spin-1 Haldane Topology under Itinerant Doping",
  "title_text": "Robust Spin-1 Haldane Topology under Itinerant Doping",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/b1sngjbkyd75c",
  "venue": "arXiv",
  "versions": []
}