{
  "id": "1501.01971",
  "version": "v1",
  "published": "2015-01-08T21:00:13.000Z",
  "updated": "2015-01-08T21:00:13.000Z",
  "title": "A semi-classical limit for the many-body localization transition",
  "authors": [
    "Anushya Chandran",
    "C. R. Laumann"
  ],
  "comment": "5 pages, 4 figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.str-el"
  ],
  "abstract": "We introduce a semi-classical limit for many-body localization in the absence of global symmetries. Microscopically, this limit is realized by disordered Floquet circuits composed of Clifford gates. In $d=1$, the resulting dynamics are always many-body localized with a complete set of strictly local integrals of motion. In $d\\geq 2$, the system realizes both localized and delocalized phases separated by a continuous transition in which ergodic puddles percolate. We argue that the phases are stable to deformations away from the semi-classical limit and estimate the resulting phase boundary. The Clifford circuit model is a distinct tractable limit from that of free fermions and suggests bounds on the critical exponents for the generic transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-08T21:00:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body localization transition",
      "semi-classical limit",
      "clifford circuit model",
      "ergodic puddles percolate",
      "disordered floquet circuits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150101971C"
    }
  }
}