{
  "id": "1307.5811",
  "version": "v3",
  "published": "2013-07-22T18:41:06.000Z",
  "updated": "2014-01-22T08:36:44.000Z",
  "title": "Tunneling into the localized phase near Anderson transitions with Coulomb interaction",
  "authors": [
    "I. S. Burmistrov",
    "I. V. Gornyi",
    "A. D. Mirlin"
  ],
  "comment": "14 pages, 5 figures; to appear in Physical Review B",
  "journal": "Phys. Rev. B 89, 035430 (2014)",
  "doi": "10.1103/PhysRevB.89.035430",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We study the tunneling density of states (TDOS) of a disordered electronic system with Coulomb interaction on the insulating side of the Anderson localization transition. The average TDOS shows a critical behavior at high energies, with a crossover to a soft Coulomb gap $\\Delta$ at low energies. We demonstrate that the single-particle excitations experience a localization transition (which belongs to the noninteracting universality class) at an energy $E=\\pm E_c$. The mobility edge $E_c$ scales with the distance $\\mu_c-\\mu$ from the interacting critical point according to $E_c\\propto (\\mu_c-\\mu)^{\\nu z}$, where $\\nu$ and $z$ are the localization-length and the dynamical critical exponents. Local TDOS shows strong fluctuations and long-range correlations which reflect the multifractality associated with interacting and noninteracting fixed points as well the localization of low-energy excitations.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-01-22T08:36:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "72.15.Rn",
      "71.30.+h",
      "73.43.Nq"
    ],
    "keywords": [
      "coulomb interaction",
      "anderson transitions",
      "localized phase",
      "anderson localization transition",
      "single-particle excitations experience"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2014,
      "month": "Jan",
      "volume": 89,
      "number": 3,
      "pages": "035430"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1243965,
      "adsabs": "2014PhRvB..89c5430B"
    }
  }
}