{
  "abstract": "Strong electron correlation remains difficult to describe within conventional density functional approximations, particularly when natural-orbital occupations become strongly fractional. We introduce a systematic particle-hole expansion that generalizes density functional theory (DFT) through an explicit functional of the one-electron reduced density matrix. The previously derived cumulant-based correction emerges as the leading term and the thermal (entropic) correction as an infinite-order member whose coefficients are fixed by a single parameter. The expansion can be formulated as a moment problem solved by semidefinite programming with computational scaling comparable to DFT. We show that both the first- and second-order corrections yield closed-form natural-orbital occupations. Applications to periacenes and Fe-porphyrin demonstrate that the second-order correction substantially reduces excessive orbital fractionalization, yielding natural-orbital occupations and fundamental gaps in improved agreement with correlated calculations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40621",
  "author_total": 3,
  "authors": [
    {
      "name": "Shurui Zhao"
    },
    {
      "name": "Madhubani Mukherjee"
    },
    {
      "name": "David A. Mazziotti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/czydmr3my6hst.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40621",
  "fulltext_url": null,
  "id": "czydmr3my6hst",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40621",
  "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",
      "physics.chem-ph"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40621",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/czydmr3my6hst.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:28Z",
      "native_id": "2610.40621",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40621"
    }
  ],
  "subjects": [
    {
      "field": "chemistry",
      "origin": "arxiv:physics.chem-ph",
      "subfield": "physical"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    }
  ],
  "title": "Generalizing Density Functional Theory with a Particle-Hole Expansion",
  "title_text": "Generalizing Density Functional Theory with a Particle-Hole Expansion",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:47Z",
  "url": "https://research.draconitic.com/paper/czydmr3my6hst",
  "venue": "arXiv",
  "versions": []
}