{
  "id": "cond-mat/9906123",
  "version": "v2",
  "published": "1999-06-09T02:18:59.000Z",
  "updated": "1999-07-14T12:46:19.000Z",
  "title": "A Microscopic Model of Edge States of Fractional Quantum Hall Liquid: From Composite Fermions to Calogero-Sutherland Model",
  "authors": [
    "Yue Yu"
  ],
  "comment": "minor revised with references added",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Based on the composite fermion approach, we derive a microscopic theory 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 the one-dimensional limit, 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 since a gap exists between the right- and left-moving sectors in each branch of the azimuthal excitations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-07-14T12:46:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional quantum hall liquid",
      "calogero-sutherland model",
      "edge states",
      "microscopic model",
      "chiral luttinger liquid behaviors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 505747,
      "adsabs": "1999cond.mat..6123Y"
    }
  }
}