{
  "annotation_id": "24db9c73-4576-4ad5-ad19-92f2a060c9ec",
  "date_created": "2026-03-02T18:02:16.358000Z",
  "date_modified": "2026-03-02T18:02:16.358000Z",
  "file_hash": "b4aaefc47decd7fffe3e51b8aefbf9dcca78c901bb48208b272161330c738d60",
  "private": false,
  "record": {
    "abstract": "We investigate the scaling of the entanglement entropy in an infinite\ntranslational invariant Fermionic system of any spatial dimension. The states\nunder consideration are ground states and excitations of tight-binding\nHamiltonians with arbitrary interactions. We show that the entropy of a finite\nregion typically scales with the area of the surface times a logarithmic\ncorrection. Thus, in contrast to analogous Bosonic systems, the entropic area\nlaw is violated for Fermions. The relation between the entanglement entropy and\nthe structure of the Fermi surface is discussed, and it is proven, that the\npresented scaling law holds whenever the Fermi surface is finite. This is in\nparticular true for all ground states of Hamiltonians with finite range\ninteractions.",
    "arxiv_id": "quant-ph/0503219",
    "authors": [
      "Michael M. Wolf"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevLett.96.010404",
    "journal_ref": "Phys. Rev. Lett. 96, 010404 (2006)",
    "title": "Violation of the entropic area law for Fermions",
    "url": "https://arxiv.org/abs/quant-ph/0503219"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2a93d651-b8c0-432e-8328-8f475048a358",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}