{
  "abstract": "The boron vacancy $V_{\\mathrm{B}}^{-}$ in hexagonal boron nitride is a leading two-dimensional spin sensor, but the microscopic connection between nearby charge positions and its spin Hamiltonian remains poorly understood. Calculations for carbon and oxygen donors 3.85--8.08 $\\mathring{\\mathrm{A}}$ away show that direction matters, not only distance. In the frozen lattice, reversing a carbon donor's azimuth at 4.35 $\\mathring{\\mathrm{A}}$ (C1 to C1m) more than halves $|E|$ and turns its axis across the mirror line. The ratio is 0.467 with the Perdew--Burke--Ernzerhof (PBE) functional, against 1 for distance alone. A field-plus-gradient model fitted to six donor configurations, including C1 but excluding C1m, predicted a ratio of 0.443 before C1m was calculated. Heyd--Scuseria--Ernzerhof hybrid statics give 0.432 and PBE relaxation 0.600. Exploratory analysis suggests why direction matters: a charge's potential differs at the three vacancy nitrogens and moves the spin of the two $e'$ holes among them, more when the charge faces one nitrogen than the gap between two. $E$ follows this spin imbalance through one constant, $c\\approx8$ GHz per $μ_{\\mathrm{B}}$, across donors and applied fields, whereas in PBE $D$ is nearly insensitive to it. A three-site model with one fitted screening constant reproduces the frozen-lattice $E$ to 83 MHz rms. Results are for one charge state in a free-standing monolayer; absolute $|E|$ varies by tens of percent across approximations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02137",
  "author_total": 4,
  "authors": [
    {
      "name": "Dongyeon"
    },
    {
      "name": "Kim"
    },
    {
      "name": "Theodore Scharlotta"
    },
    {
      "name": "Daniel Hashemi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/10h3ws3tafqtj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02137",
  "fulltext_url": null,
  "id": "10h3ws3tafqtj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02137",
  "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.mtrl-sci"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02137",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/10h3ws3tafqtj.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.02137",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02137"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Theory of the charge response of the boron-vacancy spin in monolayer hexagonal boron nitride",
  "title_text": "Theory of the charge response of the boron-vacancy spin in monolayer hexagonal boron nitride",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/10h3ws3tafqtj",
  "venue": "arXiv",
  "versions": []
}