{
  "id": "cond-mat/0604260",
  "version": "v1",
  "published": "2006-04-10T21:14:05.000Z",
  "updated": "2006-04-10T21:14:05.000Z",
  "title": "Luttinger Liquid at the Edge of a Graphene Vacuum",
  "authors": [
    "H. A. Fertig",
    "Luis Brey"
  ],
  "comment": "4 pages, 3 figures",
  "journal": "Phys. Rev. Lett. 97, 116805 (2006)",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We demonstrate that an undoped two-dimensional carbon plane (graphene) whose bulk is in the integer quantum Hall regime supports a non-chiral Luttinger liquid at an armchair edge. This behavior arises due to the unusual dispersion of the non-interacting edges states, causing a crossing of bands with different valley and spin indices at the edge. We demonstrate that this stabilizes a domain wall structure with a spontaneously ordered phase degree of freedom. This coherent domain wall supports gapless charged excitations, and has a power law tunneling $I-V$ with a non-integral exponent. In proximity to a bulk lead, the edge may undergo a quantum phase transition between the Luttinger liquid phase and a metallic state when the edge confinement is sufficiently strong relative to the interaction energy scale.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-10T21:14:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "luttinger liquid",
      "graphene vacuum",
      "domain wall supports gapless",
      "supports gapless charged excitations",
      "integer quantum hall regime supports"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}