{
  "id": "cond-mat/9709020",
  "version": "v1",
  "published": "1997-09-02T06:33:57.000Z",
  "updated": "1997-09-02T06:33:57.000Z",
  "title": "The Microscopic Picture of Chiral Luttinger Liquid: Composite Fermion Theory of Edge States",
  "authors": [
    "Yue Yu",
    "Wenjun Zheng",
    "Zhongyuan Zhu"
  ],
  "comment": "revtex, 12 pages, no figures, to be published in PRB",
  "doi": "10.1103/PhysRevB.56.13279",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We derive a microscopic theory of the composite fermions describing the low-lying edge excitations in the fractional quantum Hall liquid. Using the composite fermion transformation, one finds that the edge states of the $\\nu=1/m$ system in a disc sample are described by, in one dimensional limit, the Calogero-Sutherland model with other interactions between the composite fermions as perturbations. It is shown that a large class of short-range interactions renormalize only the Fermi velocity while the exponent $g=\\nu=1/m$ is invariant under the condition of chirality. By taking the sharp edge potential into account, we obtain a microscopic justification of the chiral Luttinger liquid model of the fractional quantum Hall edge states. The approach applied to the $\\nu=1/m$ system can be generalized to the other edge states with odd denominator filling factors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-09-02T06:33:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chiral luttinger liquid",
      "composite fermion theory",
      "microscopic picture",
      "fractional quantum hall edge states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}