{
  "id": "2409.19468",
  "version": "v1",
  "published": "2024-09-28T22:13:14.000Z",
  "updated": "2024-09-28T22:13:14.000Z",
  "title": "Imaging the diffusive-to-ballistic crossover of magnetotransport in graphene",
  "authors": [
    "Zachary J. Krebs",
    "Wyatt A. Behn",
    "Keenan J. Smith",
    "Margaret A. Fortman",
    "Kenji Watanabe",
    "Takashi Taniguchi",
    "Pathak S. Parashar",
    "Michael M. Fogler",
    "Victor W. Brar"
  ],
  "comment": "18 pages, 6 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "Scanning tunneling potentiometry (STP) is used to probe the local, current-induced electrochemical potential of carriers in graphene near circular electrostatic barriers in an out-of-plane magnetic field ranging from 0 to 1.4 T. These measurements provide nanometer-resolved information about the local motion of carriers, revealing significant changes in carrier dynamics with increasing field strength. At low magnetic fields the electrochemical potential displays a spiral-like pattern, while at high fields it exhibits distinct changes at particular radii. We show that the observed behavior indicates a transition from diffusive to ballistic transport. Additionally, the sharp changes in the measured potential profile at high fields result from the `spirograph' motion of carriers, which creates a local enhancement of the Hall field one cyclotron diameter away from the semiclassical turning point near the electrostatic barrier.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-28T22:13:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffusive-to-ballistic crossover",
      "magnetotransport",
      "circular electrostatic barriers",
      "high fields result",
      "cyclotron diameter away"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}