{
  "id": "1706.05303",
  "version": "v1",
  "published": "2017-06-16T14:59:50.000Z",
  "updated": "2017-06-16T14:59:50.000Z",
  "title": "Universal fluctuations of Floquet topological invariants at low frequencies",
  "authors": [
    "M. Rodriguez-Vega",
    "B. Seradjeh"
  ],
  "comment": "5 pages, 4 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study the low-frequency dynamics of the periodically driven Su-Schrieffer-Heeger model as a prototypical model of a Floquet topological insulator. We show, both analytically and numerically, that in the low frequency limit, $\\Omega\\rightarrow 0$, the topological invariants of the system exhibit universal fluctuations. While the topological invariants in this limit nearly vanish on average, over a small range of frequencies, we find that they follow a Gaussian distribution with a width that scales as $1/\\sqrt{\\Omega}$. We explain this scaling based on a diffusive structure of the winding numbers of the Floquet-Bloch evolution operator at low frequency. We also find that the maximum quasienergy gap remains finite and scales as $\\Omega^2$. Thus, we argue that the adiabatic limit of a Floquet topological insulator is highly structured, with universal fluctuations persisting down to very low frequencies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-16T14:59:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "low frequency",
      "universal fluctuations",
      "floquet topological invariants",
      "floquet topological insulator",
      "maximum quasienergy gap remains finite"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}