{
  "id": "1511.08819",
  "version": "v1",
  "published": "2015-11-27T21:04:32.000Z",
  "updated": "2015-11-27T21:04:32.000Z",
  "title": "Entanglement negativity in two-dimensional free lattice models",
  "authors": [
    "Viktor Eisler",
    "Zoltán Zimborás"
  ],
  "comment": "11 pages",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We study the scaling properties of the ground-state entanglement between finite subsystems of infinite two-dimensional free lattice models, as measured by the logarithmic negativity. For adjacent regions with a common boundary, we observe that the negativity follows a strict area law for a lattice of harmonic oscillators, whereas for fermionic hopping models the numerical results indicate a multiplicative logarithmic correction. In this latter case, we conjecture a formula for the prefactor of the area-law violating term, which is entirely determined by the geometries of the Fermi surface and the boundary between the subsystems. The conjecture is tested against numerical results and a good agreement is found.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-27T21:04:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entanglement negativity",
      "infinite two-dimensional free lattice models",
      "numerical results",
      "strict area law",
      "multiplicative logarithmic correction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}