{
  "id": "1611.05895",
  "version": "v1",
  "published": "2016-11-17T21:09:11.000Z",
  "updated": "2016-11-17T21:09:11.000Z",
  "title": "Absence of many-body localization in a continuum",
  "authors": [
    "I. V. Gornyi",
    "A. D. Mirlin",
    "M. Müller",
    "D. G. Polyakov"
  ],
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "We show that many-body localization, which exists in tight-binding models, is unstable in a continuum. Irrespective of the dimensionality of the system, many-body localization does not survive the unbounded growth of the single-particle localization length with increasing energy that is characteristic of the continuum limit. The system remains delocalized down to arbitrarily small temperature $T$, although its dynamics slows down as $T$ decreases. Remarkably, the conductivity vanishes with decreasing $T$ faster than in the Arrhenius law. The system can be characterized by an effective $T$-dependent single-particle mobility edge which diverges in the limit of $T\\to 0$. Delocalization is driven by interactions between hot electrons above the mobility edge and the \"bath\" of thermal electrons in the vicinity of the Fermi level.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-17T21:09:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body localization",
      "dependent single-particle mobility edge",
      "single-particle localization length",
      "system remains",
      "arbitrarily small temperature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}