{
  "id": "cond-mat/0306524",
  "version": "v2",
  "published": "2003-06-20T10:38:26.000Z",
  "updated": "2004-03-18T11:10:08.000Z",
  "title": "Single-mode approximation and effective Chern-Simons theories for quantum Hall systems",
  "authors": [
    "K. Shizuya"
  ],
  "comment": "9 pages, Revtex4",
  "journal": "Int. J. Mod. Phys. B 17, 5875 (2003)",
  "doi": "10.1142/S0217979203023446",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "A unified description of elementary and collective excitations in quantum Hall systems is presented within the single-mode approximation (SMA) framework, with emphasis on revealing an intimate link with Chern-Simons theories. It is shown that for a wide class of quantum Hall systems the SMA in general yields, as an effective theory, a variant of the bosonic Chern-Simons theory. For single-layer systems the effective theory agrees with the standard Chern-Simons theory at long wavelengths whereas substantial deviations arise for collective excitations in bilayer systems. It is suggested, in particular, that Hall-drag experiments would be a good place to detect out-of-phase collective excitations inherent to bilayer systems. It is also shown that the intra-Landau-level modes bear a similarity in structure (though not in scale) to the inter-Landau-level modes, and its implications on the composite-fermion and composite-boson theories are discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-03-18T11:10:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall systems",
      "chern-simons theory",
      "effective chern-simons theories",
      "single-mode approximation",
      "detect out-of-phase collective excitations inherent"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}