{
  "id": "2203.14847",
  "version": "v2",
  "published": "2022-03-28T15:39:51.000Z",
  "updated": "2023-05-30T14:16:31.000Z",
  "title": "Correlation of local densities of states on mesoscopic energy scales in random band matrices",
  "authors": [
    "Justine Louis"
  ],
  "comment": "10 pages, 3 figures. Accepted for publication in Letters in Mathematical Physics",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We are interested in the phase transition of the correlation function of local densities of states at mesoscopic scales of random band matrices of width $W$ in dimension $2$. As a result, we show that the local densities of states are alternately positively and negatively correlated in the diffusive regime $O(\\log(L/W))$ times, $L$ being the size of he system.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-05-30T14:16:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15B52",
      "82B44",
      "33E99"
    ],
    "keywords": [
      "random band matrices",
      "mesoscopic energy scales",
      "local densities",
      "phase transition",
      "correlation function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}