{
  "id": "cond-mat/0008259",
  "version": "v2",
  "published": "2000-08-17T20:40:28.000Z",
  "updated": "2000-08-22T18:18:08.000Z",
  "title": "Finite Temperature Magnetism in Fractional Quantum Hall Systems: Composite Fermion Hartree-Fock and Beyond",
  "authors": [
    "Ganpathy Murthy"
  ],
  "comment": "10 pages, 8 eps figures. Two references added",
  "doi": "10.1088/0953-8984/12/50/315",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Using the Hamiltonian formulation of Composite Fermions developed recently, the temperature dependence of the spin polarization is computed for the translationally invariant fractional quantum Hall states at $\\nu=1/3$ and $\\nu=2/5$ in two steps. In the first step, the effect of particle-hole excitations on the spin polarization is computed in a Composite Fermion Hartree-Fock approximation. The computed magnetization for $\\nu=1/3$ lies above the experimental results for intermediate temperatures indicating the importance of long wavelength spin fluctuations which are not correctly treated in Hartree-Fock. In the second step, spin fluctuations beyond Hartree-Fock are included for $\\nu=1/3$ by mapping the problem on to the coarse-grained continuum quantum ferromagnet. The parameters of the effective continuum quantum ferromagnet description are extracted from the preceding Hartree-Fock analysis. After the inclusion of spin fluctuations in a large-N approach, the results for the finite-temperature spin polarization are in quite good agreement with the experiments.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-08-22T18:18:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional quantum hall systems",
      "composite fermion hartree-fock",
      "finite temperature magnetism",
      "fractional quantum hall states",
      "continuum quantum ferromagnet description"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}