{
  "id": "1909.13124",
  "version": "v1",
  "published": "2019-09-28T17:23:29.000Z",
  "updated": "2019-09-28T17:23:29.000Z",
  "title": "Magnetoconductance, Quantum Hall Effect, and Coulomb Blockade in Topological Insulator Nanocones",
  "authors": [
    "Raphael Kozlovsky",
    "Ansgar Graf",
    "Denis Kochan",
    "Klaus Richter",
    "Cosimo Gorini"
  ],
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Magnetotransport through cylindrical topological insulator (TI) nanowires is governed by the interplay between quantum confinement and geometric (Aharonov-Bohm and Berry) phases. Here, we argue that the much broader class of TI nanowires with varying radius -- for which a homogeneous coaxial magnetic field induces a varying Aharonov-Bohm flux that gives rise to a non-trivial mass-like potential along the wire -- is accessible by studying its simplest member, a TI nanocone. Such nanocones allow to observe intriguing mesoscopic transport phenomena: While the conductance in a perpendicular magnetic field is quantized due to higher-order topological hinge states, it shows resonant transmission through Dirac Landau levels in a coaxial magnetic field. Furthermore, it may act as a quantum magnetic bottle, confining surface Dirac electrons and leading to Coulomb blockade. We show numerically that the above-mentioned effects occur for experimentally accessible values of system size and magnetic field, suggesting that TI nanocone junctions may serve as building blocks for Dirac electron optics setups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-28T17:23:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall effect",
      "topological insulator nanocones",
      "coulomb blockade",
      "magnetoconductance",
      "dirac electron"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}