{
  "id": "1101.2542",
  "version": "v1",
  "published": "2011-01-13T12:30:04.000Z",
  "updated": "2011-01-13T12:30:04.000Z",
  "title": "Quantum transport via evanescent waves in undoped graphene",
  "authors": [
    "M. I. Katsnelson"
  ],
  "comment": "minireview for the Special Issue \"Foundations of Computational and Theoretical Nanoscience\", to appear in Journal of Computational and Theoretical Nanoscience, vol. 8 (2011)",
  "journal": "J. Comput. Theor. Nanosci. 8, 912-918 (2011)",
  "doi": "10.1166/jctn.2011.1770",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "Charge carriers in graphene are chiral quasiparticles (\"massless Dirac fermions\"). Graphene provides therefore an amazing opportunity to study subtle quantum relativistic effects in condensed matter experiment. Here I review a theory of one of these unusual features of graphene, a \"pseudodiffusive\" transport in the limit of zero charge carrier concentration, which is related to existence of zero-modes of the Dirac operator and to the Zitterbewegung of unltrarelativistic particles. A conformal mapping technique is a powerful mathematical tool to study these phenomena, as demonstrated here, using the Aharonov-Bohm effect in graphene rings with Corbino geometry as an example.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-13T12:30:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "evanescent waves",
      "quantum transport",
      "undoped graphene",
      "study subtle quantum relativistic effects",
      "zero charge carrier concentration"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}