{
  "abstract": "Charge-dependent scalarization of the Einstein-Euler-Heisenberg (EEH) black hole is carried out in the EEH-scalar theory by introducing an exponential scalar coupling with coupling constant $α$ to the Maxwell and nonlinear electrodynamic terms. The bald black hole (EEHBH) is described by mass $M$ and arbitrary magnetic charge $q$ and has a single horizon when choosing the action parameter $μ=0.3$. Here, we find the critical onset charge $q_c=r_+^2/\\sqrt{2μ}$ with $r_+(M,q_c)$ the outer horizon radius from the resonance condition. The spontaneous scalarization ($α^+$) of this black hole is available for charge $0<q< q_c=1.115$ for $M=1$ and $μ=0.3$, with positive $α$, whereas its new scalarization ($α^-$) occurs for $q> q_c$ and negative $α$. The former case of $q=0.5$ implies infinite branches of scalarized EEHBHs but its fundamental branch ($n=0$) is stable against the $l=0$ modes considered here, while for $q=2$ and $q=20$, one stable scalarized branch is found for each charge within the explored parameter ranges.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.15566",
  "author_total": 5,
  "authors": [
    {
      "name": "Lina Zhang"
    },
    {
      "name": "Yun Soo Myung"
    },
    {
      "name": "De-Cheng Zou"
    },
    {
      "name": "Chao-Ming Zhang"
    },
    {
      "name": "Sheng-Yuan Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/62cwezhpqsgw6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.15566",
  "fulltext_url": null,
  "id": "62cwezhpqsgw6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.15566",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.15566",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/62cwezhpqsgw6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2605.15566",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.15566"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Charge-dependent scalarization of Einstein- Euler-Heisenberg black holes",
  "title_text": "Charge-dependent scalarization of Einstein- Euler-Heisenberg black holes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/62cwezhpqsgw6",
  "venue": "arXiv",
  "versions": []
}