{
  "id": "2006.04825",
  "version": "v1",
  "published": "2020-06-08T18:00:06.000Z",
  "updated": "2020-06-08T18:00:06.000Z",
  "title": "Many-body localization near the critical point",
  "authors": [
    "Alan Morningstar",
    "David A. Huse",
    "John Z. Imbrie"
  ],
  "comment": "11 pages, 1 figure",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn",
    "cond-mat.quant-gas"
  ],
  "abstract": "We examine the many-body localization (MBL) phase transition in one-dimensional quantum systems with quenched randomness and short-range interactions. Following recent works, we use a strong-randomness renormalization group (RG) approach where the phase transition is due to the so-called avalanche instability of the MBL phase. We show that the critical behavior can be determined analytically within this RG. On a rough qualitative level the RG flow near the critical fixed point is similar to the Kosterlitz-Thouless (KT) flow as previously shown, but there are important differences in the critical behavior. Thus we show that this MBL transition is in a new universality class that is different from KT. The divergence of the correlation length corresponds to critical exponent $\\nu \\rightarrow \\infty$, but the divergence is weaker than for the KT transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-08T18:00:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body localization",
      "critical point",
      "phase transition",
      "one-dimensional quantum systems",
      "correlation length corresponds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}