{
  "id": "cond-mat/9810211",
  "version": "v1",
  "published": "1998-10-17T14:56:27.000Z",
  "updated": "1998-10-17T14:56:27.000Z",
  "title": "Many-body spectral statistics of interacting Fermions",
  "authors": [
    "M. Pascaud",
    "G. Montambaux"
  ],
  "comment": "proceedings of \"Percolation, Interaction, Localization: Simulations of Transport in Disordered Systems\", Berlin 98. 10 pages, 10 figures",
  "doi": "10.1002/(SICI)1521-3889(199811)7:5/6<406::AID-ANDP406>3.0.CO",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We have studied the appearance of chaos in the many-body spectrum of interacting Fermions. The coupling of a single state to the Fermi sea is considered. This state is coupled to a hierarchy of states corresponding to one or several particle-hole excitations. We have considered various couplings between two successive generations of this hierarchy and determined under which conditions this coupling can lead to Wigner-Dyson correlations. We have found that the cross-over from a Poisson to a Wigner distribution is characterized not only by the ratio $V/\\Delta_c$, but also by the ratio $\\Delta_c/\\delta$. $V$ is the typical interaction matrix element, $\\delta$ is the energy distance between {\\it many-body} states and $\\Delta_c$ is the distance between many-body states coupled by the interaction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-10-17T14:56:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body spectral statistics",
      "interacting fermions",
      "typical interaction matrix element",
      "many-body spectrum",
      "single state"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}