{
  "id": "cond-mat/9911054",
  "version": "v1",
  "published": "1999-11-04T12:57:52.000Z",
  "updated": "1999-11-04T12:57:52.000Z",
  "title": "From Composite Fermions to Calogero-Sutherland Model: Edge of Fractional Quantum Hall Liquid and the Dimension Reduction",
  "authors": [
    "Yue Yu"
  ],
  "comment": "4 pages, Revtex, accepted for publication by PRB",
  "doi": "10.1103/PhysRevB.61.4465",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We derive a microscopic model describing the low-lying edge excitations in the fractional quantum Hall liquid with $\\nu=\\frac{\\nu^*} {\\tilde\\phi\\nu^*+1}$. For $\\nu^*>0$, it is found that the composite fermion model reduces to an SU$(\\nu^*)$ Calogero-Sutherland model in a dimension reduction, whereas it is not exact soluble for $\\nu^*<0$. However, the ground states in both cases can be found and the low-lying excitations can be shown the chiral Luttinger liquid behaviors. On the other hand, we shows that the finite temperature behavior of $G-T$ curve will deviate from the prediction of the chiral Luttinger liquid. We also point out that the suppression of the `spin' degrees of freedom agrees with very recent experiments by Chang et al. The two-boson model of Lee and Wen is described microscopically.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-11-04T12:57:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional quantum hall liquid",
      "calogero-sutherland model",
      "dimension reduction",
      "composite fermion model reduces",
      "chiral luttinger liquid behaviors"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}