{
  "abstract": "We study Kohn-Sham Density Functional Theory (DFT) models describing the electronic structure of two-dimensional materials placed in a three-dimensional environment, encapsulated between two parallel conducting electrodes. In this geometry, the Dirichlet boundary conditions at the electrodes screen the Coulomb interaction, which becomes effectively short-ranged, of Yukawa type. We prove that some nonlinear Kohn-Sham DFT models are well-posed in this setting, both for periodic materials (such as graphene) and for quasi-periodic materials (such as twisted bilayer graphene and other moiré materials for generic incommensurate twist angles).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.11785",
  "author_total": 3,
  "authors": [
    {
      "name": "Éric Cancès"
    },
    {
      "name": "David Gontier"
    },
    {
      "name": "Solal Perrin-Roussel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2y7snsv8zmqz1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.11785",
  "fulltext_url": null,
  "id": "2y7snsv8zmqz1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.11785",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3107|Advanced Chemical Physics Studies"
    ]
  ],
  "openalex": "W7164317080",
  "pdf_url": "https://arxiv.org/pdf/2606.11785",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2y7snsv8zmqz1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2606.11785",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.11785"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Kohn-Sham models for encapsulated two-dimensional materials",
  "title_text": "Kohn-Sham models for encapsulated two-dimensional materials",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/2y7snsv8zmqz1",
  "venue": "arXiv",
  "versions": []
}