{
  "id": "cond-mat/0611468",
  "version": "v2",
  "published": "2006-11-17T17:20:10.000Z",
  "updated": "2007-03-28T13:32:26.000Z",
  "title": "Fermi Liquid Theory of a Fermi Ring",
  "authors": [
    "T. Stauber",
    "N. M. R. Peres",
    "F. Guinea",
    "A. H. Castro Neto"
  ],
  "comment": "10 pages, 10 figures",
  "journal": "Phys. Rev. B 75, 115425 (2007)",
  "doi": "10.1103/PhysRevB.75.115425",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We study the effect of electron-electron interactions in the electronic properties of a biased graphene bilayer. This system is a semiconductor with conduction and valence bands characterized by an unusual ``mexican-hat'' dispersion. We focus on the metallic regime where the chemical potential lies in the ``mexican-hat'' in the conduction band, leading to a topologically non-trivial Fermi surface in the shape of a ring. We show that due to the unusual topology of the Fermi surface electron-electron interactions are greatly enhanced. We discuss the possibility of an instability towards a ferromagnetic phase due to this enhancement. We compute the electronic polarization function in the random phase approximation and show that, while at low energies the system behaves as a Fermi liquid (albeit with peculiar Friedel oscillations), at high frequencies it shows a highly anomalous response when compare to ordinary metals.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-03-28T13:32:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fermi liquid theory",
      "fermi ring",
      "fermi surface electron-electron interactions",
      "peculiar friedel oscillations",
      "random phase approximation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}