{
  "annotation_id": "c7c6ce6a-f680-4d57-ac57-e06680a44fcb",
  "date_created": "2026-03-02T18:02:27.645000Z",
  "date_modified": "2026-03-02T18:02:27.645000Z",
  "file_hash": "e24139ceb7d4b54d4aeec21e8ea60b3511a8ee487f274a5210d09653167411c6",
  "private": false,
  "record": {
    "abstract": "Under a certain scaling, the electron densities of finite systems become both\nlarge and slowly-varying, so that the gradient expansions of the density\nfunctionals for the Kohn-Sham kinetic and exchange energies become\nasymptotically exact to order $\\nabla^2$. Neutral atoms of large $Z$ scale\nsimilarly, but a cusp correction at the nucleus requires generalizing the\ngradient expansion for exchange, producing the wrong gradient coefficient in\nthe slowly-varying limit. Meta-generalized gradient approximations (meta-GGA\u0027s)\nrecover both the slowly-varying and large-$Z$ limits. GGA correlation energies\nof large-Z atoms are found to be accurate.",
    "arxiv_id": "quant-ph/0605062",
    "authors": [
      "John P. Perdew",
      "Lucian A. Constantin",
      "Espen Sagvolden",
      "Kieron Burke"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mtrl-sci"
    ],
    "doi": "10.1103/PhysRevLett.97.223002",
    "title": "Relevance of the slowly-varying electron gas to atoms, molecules, and   solids",
    "url": "https://arxiv.org/abs/quant-ph/0605062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e75df666-27bd-421f-afca-1475bcdb8f47",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}