{
  "id": "0911.4431",
  "version": "v1",
  "published": "2009-11-23T15:53:31.000Z",
  "updated": "2009-11-23T15:53:31.000Z",
  "title": "Time-dependent transport in graphene nanoribbons",
  "authors": [
    "E. Perfetto",
    "G. Stefanucci",
    "M. Cini"
  ],
  "comment": "5 pages, 5 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We theoretically investigate the time-dependent ballistic transport in metallic graphene nanoribbons after the sudden switch-on of a bias voltage $V$. The ribbon is divided in three different regions, namely two semi-infinite graphenic leads and a central part of length $L$, across which the bias drops linearly and where the current is calculated. We show that during the early transient time the system behaves like a graphene bulk under the influence of a uniform electric field $E=V/L$. In the undoped system the current does not grow linearly in time but remarkably reaches a temporary plateau with dc conductivity $\\sigma_{1}=\\pi e^{2}/2h$, which coincides with the minimal conductivity of two-dimensional graphene. After a time of order $L/v_{F}$ ($v_{F}$ being the Fermi velocity) the current departs from the first plateau and saturates at its final steady state value with conductivity $\\sigma_{2}=2e^{2}/h$ typical of metallic nanoribbons of finite width.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-23T15:53:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.23.Ad",
      "81.05.U-",
      "73.63.-b"
    ],
    "keywords": [
      "time-dependent transport",
      "final steady state value",
      "time-dependent ballistic transport",
      "metallic graphene nanoribbons",
      "uniform electric field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevB.82.035446",
      "journal": "Physical Review B",
      "year": 2010,
      "month": "Jul",
      "volume": 82,
      "number": 3,
      "pages": "035446"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvB..82c5446P"
    }
  }
}