{
  "annotation_id": "6c9a5be8-1526-4ee3-8c42-0bf07be065b5",
  "date_created": "2026-03-02T18:02:06.146000Z",
  "date_modified": "2026-03-02T18:02:06.146000Z",
  "file_hash": "a60f3804d4c28292ca4d7e59845b3d6dedab17d77465028c200f65b8f95714c6",
  "private": false,
  "record": {
    "abstract": "Transport properties of arrays of metallic quantum dots are governed by the\ndistance-dependent exchange coupling between the dots. It is shown that the\neffective value of the exchange coupling, as measured by the charging energy\nper dot, depends monotonically on the size of the array. The effect saturates\nfor hexagonal arrays of over 7^5 unit cells. The discussion uses a multi-stage\nblock renormalization group approach applied to the Hubbard Hamiltonian. A\nfirst order phase transition occurs upon compression of the lattice and the\nsize dependence is qualitatively different for the two phases.",
    "arxiv_id": "quant-ph/0405088",
    "authors": [
      "Jiaxiang Wang",
      "Sabre Kais",
      "F. Remacle",
      "R. D. Levine"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Size effects in the electronic properties of finite arrays of exchange   coupled quantum dots: A renormalization group approach",
    "url": "https://arxiv.org/abs/quant-ph/0405088"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0ad5cf9a-028c-49e5-a77e-35ee1eccce3e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}