{
  "id": "2209.05601",
  "version": "v1",
  "published": "2022-09-12T20:35:36.000Z",
  "updated": "2022-09-12T20:35:36.000Z",
  "title": "A drop model of integer and fractional quantum Hall effects",
  "authors": [
    "A. A. Vasilchenko"
  ],
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We present a drop model for integer and fractional quantum Hall effects (FQHE). We show that the two-dimensional electron gas breaks up into regions with filling factors {\\nu} = 1 and {\\nu} = 0 in disk geometry, and the formation of drops with a finite number of electrons is possible. Sequences of filling fractions are constructed on the basis of experimental data. For all sequences there are initial FQHE states, which correspond to a drop with five electrons. The remaining FQHE states are composite states of a drop with five electrons and one or more pairs of electrons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-12T20:35:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional quantum hall effects",
      "drop model",
      "two-dimensional electron gas breaks",
      "initial fqhe states",
      "disk geometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}