{
  "id": "0812.4133",
  "version": "v3",
  "published": "2008-12-22T09:30:33.000Z",
  "updated": "2009-06-30T08:04:25.000Z",
  "title": "Effective Field Theory for the Quantum Electrodynamics of a Graphene Wire",
  "authors": [
    "P. Faccioli",
    "E. Lipparini"
  ],
  "comment": "7 pages, 2 figures. Definitive version, accepted for publication on Phys. Rev. B",
  "doi": "10.1103/PhysRevB.80.045405",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el",
    "hep-ph"
  ],
  "abstract": "We study the low-energy quantum electrodynamics of electrons and holes, in a thin graphene wire. We develop an effective field theory (EFT) based on an expansion in p/p_T, where p_T is the typical momentum of electrons and holes in the transverse direction, while p are the momenta in the longitudinal direction. We show that, to the lowest-order in (p/p_T), our EFT theory is formally equivalent to the exactly solvable Schwinger model. By exploiting such an analogy, we find that the ground state of the quantum wire contains a condensate of electron-hole pairs. The excitation spectrum is saturated by electron-hole collective bound-states, and we calculate the dispersion law of such modes. We also compute the DC conductivity per unit length at zero chemical potential and find g_s =e^2/h, where g_s=4 is the degeneracy factor.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-06-30T08:04:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.23.-b",
      "11.10.-z",
      "73.21.Hb"
    ],
    "keywords": [
      "effective field theory",
      "thin graphene wire",
      "low-energy quantum electrodynamics",
      "quantum wire contains",
      "transverse direction"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2009,
      "month": "Jul",
      "volume": 80,
      "number": 4,
      "pages": "045405"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 901180,
      "adsabs": "2009PhRvB..80d5405F"
    }
  }
}