{
  "id": "cond-mat/0612149",
  "version": "v2",
  "published": "2006-12-06T14:57:30.000Z",
  "updated": "2007-05-11T17:24:56.000Z",
  "title": "Quantum transport properties of two-dimensional electron gases under high magnetic fields",
  "authors": [
    "Thierry Champel",
    "Serge Florens"
  ],
  "comment": "21 pages, 5 figures ; main change: the discussion about the longitudinal transport (Part A of Section VI) is rewritten and enhanced",
  "journal": "Phys. Rev. B 75, 245326 (2007)",
  "doi": "10.1103/PhysRevB.75.245326",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study quantum transport properties of two-dimensional electron gases under high perpendicular magnetic fields. For this purpose, we reformulate the high-field expansion, usually done in the operatorial language of the guiding-center coordinates, in terms of vortex states within the framework of real-time Green functions. These vortex states arise naturally from the consideration that the Landau levels quantization can follow directly from the existence of a topological winding number. The microscopic computation of the current can then be performed within the Keldysh formalism in a systematic way at finite magnetic fields $B$ (i.e. beyond the semi-classical limit $B = \\infty$). The formalism allows us to define a general vortex current density as long as the gradient expansion theory is applicable. As a result, the total current is expressed in terms of edge contributions only. We obtain the first and third lowest order contributions to the current due to Landau-levels mixing processes, and derive in a transparent way the quantization of the Hall conductance. Finally, we point out qualitatively the importance of inhomogeneities of the vortex density to capture the dissipative longitudinal transport.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-05-11T17:24:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional electron gases",
      "high magnetic fields",
      "study quantum transport properties",
      "general vortex current density",
      "high perpendicular magnetic fields"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}