{
  "id": "cond-mat/0505628",
  "version": "v1",
  "published": "2005-05-25T20:15:22.000Z",
  "updated": "2005-05-25T20:15:22.000Z",
  "title": "Many-body interactions in a quantum wire in the integer quantum Hall regime: suppression of exchange-enhanced g factor",
  "authors": [
    "O. G. Balev",
    "Sanderson Silva",
    "Nelson Studart"
  ],
  "comment": "11 pages, 10 figures",
  "doi": "10.1103/PhysRevB.72.085345",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "The collapse of Hall gaps in the integer quantum Hall liquid in a quantum wire is investigated. Motivated by recent experiment [Pallecchi et al. PRB 65, 125303 (2002)] previous approaches are extended to treat confinement effects and the exchanged enhanced g-factor in quantum wires. Two scenarios for the collapse of the $\\nu =1$ state are discussed. In the first one the $\\nu =1$ state becomes unstable at $B_{cr}^{(1)}$, due to the exchange interaction and correlation effects, coming from the edge-states screening. In the second scenario, a transition to the $\\nu =2$ state occurs at $B_{cr}^{(2)}$, with a smaller effective channel width, caused by the redistribution of the charge density. This effect turns the Hartree interaction essential in calculating the total energy and changes $B_{cr}^{(2)}$ drastically. In both scenarios, the exchange enhanced g-factor is suppressed for magnetic fields lower than $B_{cr}$. Phase diagrams for the Hall gap collapse are determined. The critical fields, activation energy, and optical $g$-factor obtained are compared with experiments. Within the accuracy of the available data, the first scenario is most probable to be realized.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-05-25T20:15:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integer quantum hall regime",
      "quantum wire",
      "many-body interactions",
      "suppression",
      "integer quantum hall liquid"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}