{
  "id": "cond-mat/9904017",
  "version": "v1",
  "published": "1999-04-01T13:23:34.000Z",
  "updated": "1999-04-01T13:23:34.000Z",
  "title": "Composite fermions in the half-filled lowest Landau level: a macroscopic justification",
  "authors": [
    "F. Evers"
  ],
  "comment": "4 pages",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "An effective Hamiltonian for spinless electrons in the lowest Landau level (LLL) close to half filling is derived. As opposed to the treatment in standard Chern-Simons theories (CS) we first project to the LLL and only then apply a CS-transformation on the Hamiltonian. The transformed field operators act in the lowest Landau level only {\\it and} have fermionic commutation relations for small wavenumbers ignoring gauge field fluctuations. When acting on the Hamiltonian at half filling the {\\it gauge transformation removes the monopole term in the interaction and does not eliminate the magnetic field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-04-01T13:23:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "half-filled lowest landau level",
      "macroscopic justification",
      "composite fermions",
      "wavenumbers ignoring gauge field fluctuations",
      "small wavenumbers ignoring gauge field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999cond.mat..4017E"
    }
  }
}