{
  "id": "2106.12861",
  "version": "v1",
  "published": "2021-06-24T09:50:41.000Z",
  "updated": "2021-06-24T09:50:41.000Z",
  "title": "Many-body localization and the area law in two dimensions",
  "authors": [
    "Kevin S. C. Decker",
    "Dante M. Kennes",
    "Christoph Karrasch"
  ],
  "comment": "5 pages, 5 figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the high-energy phase diagram of a two-dimensional spin-$\\frac{1}{2}$ Heisenberg model on a square lattice in the presence of disorder. The use of large-scale tensor network numerics allows us to compute the bi-partite entanglement entropy for systems of up to $30\\times7$ lattice sites. We demonstrate the existence of a finite many-body localized phase for large disorder strength $W$ for which the eigenstate thermalization hypothesis is violated. Moreover, we show explicitly that the area law holds for excited states in this phase and determine an estimate for the critical $W_{\\rm{c}}$ where the transition to the ergodic phase occurs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-24T09:50:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body localization",
      "dimensions",
      "large-scale tensor network numerics",
      "ergodic phase occurs",
      "bi-partite entanglement entropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}