{
  "id": "1705.07403",
  "version": "v1",
  "published": "2017-05-21T06:26:21.000Z",
  "updated": "2017-05-21T06:26:21.000Z",
  "title": "3D quantum Hall effect of Fermi arcs in topological semimetals",
  "authors": [
    "C. M. Wang",
    "Hai-Peng Sun",
    "Hai-Zhou Lu",
    "X. C. Xie"
  ],
  "comment": "5 pages, 3 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "The quantum Hall effect with quantized Hall conductance is usually observed in 2D systems. We show that the Fermi arcs can give rise to a distinctive 3D quantum Hall effect in topological semimetals. Because of the topological constraint, the Fermi arc at a single surface has an open Fermi surface, which cannot host the quantum Hall effect. Via a \"wormhole\" tunneling assisted by the Weyl nodes, the Fermi arcs at opposite surfaces can form a complete Fermi loop and support the quantum Hall effect. The edge states of the Fermi arcs show a unique 3D distribution. This is distinctly different from the surface-state quantum Hall effect from a single surface of topological insulator. As the Fermi energy sweeps through the Weyl nodes, the Hall conductance evolves from the $1/B$ dependence to quantized plateaus at the Weyl nodes. This behavior can be realized by tuning gate voltages in a slab of topological semimetal, such as the TaAs family, Cd$_3$As$_2$, or Na$_3$Bi. This work will be instructive not only for searching transport signatures of the Fermi arcs but also for exploring novel electron gases in other topological phases of matter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-21T06:26:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fermi arc",
      "topological semimetal",
      "weyl nodes",
      "distinctive 3d quantum hall effect",
      "hall conductance"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}