{
  "id": "1204.4868",
  "version": "v1",
  "published": "2012-04-22T08:05:22.000Z",
  "updated": "2012-04-22T08:05:22.000Z",
  "title": "A Transfer Matrix Approach to Electron Transport in Graphene through Arbitrary Electric and Magnetic Potential Barriers",
  "authors": [
    "Sameer Grover",
    "Sankalpa Ghosh",
    "Manish Sharma"
  ],
  "comment": "Accepted for Publication in Modelling and Simulation in Materials Science and Engineering",
  "journal": "Modelling Simul. Mater. Sci. Eng. 20 045010 (2012)",
  "doi": "10.1088/0965-0393/20/4/045010",
  "categories": [
    "cond-mat.mes-hall",
    "physics.comp-ph"
  ],
  "abstract": "A transfer matrix method is presented for solving the scattering problem for the quasi one-dimensional massless Dirac equation applied to graphene in the presence of an arbitrary inhomogeneous electric and perpendicular magnetic field. It is shown that parabolic cylindrical functions, which have previously been used in literature, become inaccurate at high incident energies and low magnetic fields. A series expansion technique is presented to circumvent this problem. An alternate method using asymptotic expressions is also discussed and the relative merits of the two methods are compared.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-22T08:05:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transfer matrix approach",
      "magnetic potential barriers",
      "arbitrary electric",
      "electron transport",
      "massless dirac equation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Modelling Simul. Mater. Sci. Eng.",
      "year": 2012,
      "month": "Jun",
      "volume": 20,
      "number": 4,
      "pages": "045010"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012MSMSE..20d5010G"
    }
  }
}