{
  "id": "2308.05236",
  "version": "v1",
  "published": "2023-08-09T21:46:34.000Z",
  "updated": "2023-08-09T21:46:34.000Z",
  "title": "Anyonic Mach-Zehnder interferometer on a single edge of a 2D electron gas",
  "authors": [
    "Navketan Batra",
    "Zezhu Wei",
    "Smitha Vishveshwara",
    "D. E. Feldman"
  ],
  "comment": "6 pages, 2 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "Anyonic Fabry-P\\'erot and Mach-Zehnder interferometers have been proposed theoretically and implemented experimentally as tools to probe electric charges and statistics of anyons. The experimentally observed visibility of Aharonov-Bohm oscillations is maximal at a high transmission through an interferometer but simple theoretical expressions for the electric currents and noises are only available at low visibility. We consider an alternative version of a Mach-Zehnder interferometer, in which anyons tunnel between co-propagating chiral channels on the edges of quantum Hall liquids at the filling factors $n/(2n+1)$. We find simple exact solutions for any transmission. The solutions allow a straight-forward interpretation in terms of fractional charges and statistics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-09T21:46:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "2d electron gas",
      "anyonic mach-zehnder interferometer",
      "single edge",
      "simple exact solutions",
      "probe electric charges"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}