{
  "annotation_id": "cd70c45c-205d-48de-b44d-16a123099179",
  "date_created": "2026-02-17T05:53:11.947000Z",
  "date_modified": "2026-02-17T05:53:11.947000Z",
  "file_hash": "9f48dc1e2ad99b1a1dd37ceb14c855851a07a81628ab1c70ff521c682c6003dd",
  "private": false,
  "record": {
    "abstract": "We construct rigorous Anderson-type lower bounds on the ground-state energy of the spin-$S$ Heisenberg antiferromagnet on the pyrochlore lattice. By formulating and optimizing a hierarchy of local cluster motifs ordered by size, we generate a sequence of increasingly tight bounds. A seven-site \"hourglass\" cluster composed of two corner-sharing tetrahedra furnishes an optimal lower bound that admits a closed-form expression for arbitrary spin $S$. We also derive exact lower bounds for generalized models with further-neighbor exchange, ring exchange, and scalar spin-chirality interactions. For $S=1/2$ and $S=1$, numerical optimization of an 18-site \"crown\" cluster containing a hexagonal loop yields rigorous lower bounds on the ground-state energy per site of the nearest-neighbor Heisenberg model with unit exchange, $e_\\mathrm{GS} \\geq -0.549832$ and $e_\\mathrm{GS} \\geq -1.632985$, respectively. We compare the resulting bounds with numerical ground-state energy estimates from the literature.",
    "arxiv_id": "2601.07800",
    "authors": [
      "P\u00e9ter Kr\u00e1nitz",
      "Karlo Penc"
    ],
    "categories": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Rigorous Anderson-type lower bounds on the ground-state energy of the pyrochlore Heisenberg antiferromagnet",
    "url": "https://arxiv.org/abs/2601.07800",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "073a5726-a457-4742-a9a1-303692903ba5",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}