{
  "id": "2306.14931",
  "version": "v1",
  "published": "2023-06-25T22:40:03.000Z",
  "updated": "2023-06-25T22:40:03.000Z",
  "title": "Toward a new theory of the fractional quantum Hall effect: The many-body spectra and energy gaps at $ν<1$",
  "authors": [
    "S. A. Mikhailov"
  ],
  "comment": "22 pages, 15 figures, 10 tables. Part II of the theory of the fractional quantum Hall effect; for the first part see arXiv:2206.05152v4",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "In a recent paper (arXiv:2206.05152v4), using the exact diagonalization technique, I calculated the energy and other physical properties (electron density, pair correlation function) of a system of $N\\le 7$ two-dimensional electrons at the Landau level filling factor $\\nu=1/3$, and showed that the variational many-body wave function proposed for this filling factor by Laughlin is far from the true ground state. In this paper I continue to study exact properties of a small ($N\\le 7$) system of two-dimensional electrons lying on the lowest Landau level. I analyze the energies and electron densities of the systems with $N\\le 7$ electrons continuously as a function of the magnetic field in the range $1/4\\lesssim\\nu<1$. The physical mechanisms of the appearance of energy gaps in many-particle electron spectra are elucidated. The results obtained clarify the true nature of the ground and excited states of the considered systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-25T22:40:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional quantum hall effect",
      "energy gaps",
      "many-body spectra",
      "electron density",
      "two-dimensional electrons"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}