{
  "id": "1903.02001",
  "version": "v1",
  "published": "2019-03-05T19:00:03.000Z",
  "updated": "2019-03-05T19:00:03.000Z",
  "title": "Renormalization-group study of the many-body localization transition in one dimension",
  "authors": [
    "Alan Morningstar",
    "David A. Huse"
  ],
  "comment": "9 pages, 3 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn",
    "cond-mat.quant-gas"
  ],
  "abstract": "Using a new approximate strong-randomness renormalization group (RG), we study the many-body localized (MBL) phase and phase transition in one-dimensional quantum systems with short-range interactions and quenched disorder. Our RG is built on those of Zhang $\\textit{et al.}$ [1] and Goremykina $\\textit{et al.}$ [2], which are based on thermal and insulating blocks. Our main addition is to characterize each insulating block with two lengths: a physical length, and an internal decay length $\\zeta$ for its effective entangling interactions. In this approach, the MBL phase is governed by a RG fixed line that is parametrized by a global decay length $\\tilde{\\zeta}$, and the rare large thermal inclusions within the MBL phase have a fractal geometry. As the phase transition is approached from within the MBL phase, $\\tilde{\\zeta}$ approaches the finite critical value corresponding to the avalanche instability, and the fractal dimension of large thermal inclusions approaches zero. Our analysis is consistent with a Kosterlitz-Thouless-like RG flow, with no intermediate critical MBL phase.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-05T19:00:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body localization transition",
      "mbl phase",
      "renormalization-group study",
      "large thermal inclusions approaches zero",
      "decay length"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}