{
  "abstract": "We study spontaneous scalarization near and at extremality in Einstein-Maxwell-scalar theory. As Reissner-Nordström (RN) extremality is approached from below, the nonextremal scalarization existence curves collapse toward a common critical threshold $α_c=1/4$ given by the Breitenlohner-Freedman bound for the near-horizon throat (AdS$_2\\times S^2$) of its extremal black hole. For a polynomial coupling, we construct extremal black holes with nonconstant scalar hair, satisfying $M^2+Q_s^2=Q^2$, which places them in the overcharged region $Q/M>1$ beyond the RN bound. A common near-region phase mechanism predicts accumulation toward the RN extremality from both sides, yielding Miransky-type scaling. In the extremal sector, the logarithmic phase interval doubles, halving the exponent which denotes the geometric spacing of successive node scales.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.20040",
  "author_total": 3,
  "authors": [
    {
      "name": "Hong Guo"
    },
    {
      "name": "Yun Soo Myung"
    },
    {
      "name": "Lijing Shao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9kd1jsyggbwmd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20040",
  "fulltext_url": null,
  "id": "9kd1jsyggbwmd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.20040",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7213586196",
  "pdf_url": "https://arxiv.org/pdf/2609.20040",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9kd1jsyggbwmd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:19Z",
      "native_id": "2609.20040",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20040"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Extremal Scalarization of Charged Black Holes: Miransky Scaling across Reissner-Nordström Extremality",
  "title_text": "Extremal Scalarization of Charged Black Holes: Miransky Scaling across Reissner-Nordström Extremality",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:19Z",
  "url": "https://research.draconitic.com/paper/9kd1jsyggbwmd",
  "venue": "arXiv",
  "versions": []
}