{
  "id": "1601.05369",
  "version": "v1",
  "published": "2016-01-20T18:49:53.000Z",
  "updated": "2016-01-20T18:49:53.000Z",
  "title": "Hall quantization and optical conductivity evolution with variable Berry phase in $α$-$T_3$ model",
  "authors": [
    "E. Illes",
    "J. P. Carbotte",
    "E. J. Nicol"
  ],
  "journal": "Phys. Rev. B 92, 245410 (2015)",
  "doi": "10.1103/PhysRevB.92.245410",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The $\\alpha$-$T_3$ model is characterized by a variable Berry phase that changes continuously from $\\pi$ to $0$. We take advantage of this property to highlight the effects of this underlying geometrical phase on a number of physical quantities. The Hall quantization of the two limiting cases is dramatically different - a relativistic series is associated with a Berry phase of $\\pi$ and a non-relativistic series is associated with the other limit. We study the quantization of the Hall plateaux as they continuously evolve from a relativistic to a non-relativistic regime. Additionally, we describe two physical quantities that retain knowledge of the Berry phase, in the absence of a motion-inducing magnetic field. The variable Berry phase of the $\\alpha$-$T_3$ model allows us to explicitly describe the Berry phase dependence of the dynamical longitudinal optical conductivity and of the angular scattering probability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-20T18:49:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "variable berry phase",
      "optical conductivity evolution",
      "hall quantization",
      "berry phase dependence",
      "physical quantities"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}