{
  "id": "2005.13571",
  "version": "v1",
  "published": "2020-05-27T18:03:11.000Z",
  "updated": "2020-05-27T18:03:11.000Z",
  "title": "Scaling up the Anderson transition in random-regular graphs",
  "authors": [
    "M. Pino"
  ],
  "comment": "5 pages, 5 figures",
  "categories": [
    "cond-mat.dis-nn",
    "quant-ph"
  ],
  "abstract": "We study the Anderson transition in lattices with the connectivity of a random-regular graph. Our results indicate that fractal dimensions are continuous across the transition, but a discontinuity occurs in their derivatives, implying the non-ergodicity of the metal near the Anderson transition. A critical exponent $\\nu = 1.00 \\pm0.02$ and critical disorder $W= 18.2\\pm 0.1$ are found via a scaling approach. Our data support that the predictions of the relevant Gaussian Ensemble are only recovered at zero disorder.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-27T18:03:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anderson transition",
      "random-regular graph",
      "zero disorder",
      "relevant gaussian",
      "data support"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}