{
  "id": "1605.06680",
  "version": "v1",
  "published": "2016-05-21T17:49:59.000Z",
  "updated": "2016-05-21T17:49:59.000Z",
  "title": "Magnetotransport properties of the $α$-T$_3$ model",
  "authors": [
    "Tutul Biswas",
    "Tarun Kanti Ghosh"
  ],
  "comment": "7 pages, 3 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Using the well-known Kubo formula, we evaluate the magnetotransport quantities like the collisional and Hall conductivities of the $\\alpha$-T$_3$ model. The collisional conductivity exhibits a series of peaks at strong magnetic field. Each of the conductivity peaks for $\\alpha=0$ (graphene) splits into two in presence of a finite $\\alpha$. This splitting occurs due to a finite phase difference between the contributions coming from the two valleys. As $\\alpha$ approaches $1$, the right split part of the conductivity peak comes closer to the left split part of the next conductivity peak. At $\\alpha=1$, they merge with each other to produce a new series of the conductivity peaks. On the other hand, the Hall conductivity undergoes a smooth transition from $\\sigma_{yx}=2(2n+1)e^2/h$ to $\\sigma_{yx}=4ne^2/h$ with $n=0,1,2,...$ as we tune $\\alpha$ from $0$ to $1$. For intermediate $\\alpha$, we obtain the Hall plateaus at values $0,2,4,6,8,...$ in units of $e^2/h$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-21T17:49:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetotransport properties",
      "conductivity peak comes closer",
      "right split part",
      "strong magnetic field",
      "finite phase difference"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}