{
  "id": "1505.07150",
  "version": "v1",
  "published": "2015-05-26T22:27:00.000Z",
  "updated": "2015-05-26T22:27:00.000Z",
  "title": "On transport properties of isotropic quasiperiodic $XY$ spin chains",
  "authors": [
    "Ilya Kachkovskiy"
  ],
  "comment": "13 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We consider isotropic $XY$ spin chains whose magnetic potentials are quasiperiodic and the effective one-particle Hamiltonians have absolutely continuous spectra. For a wide class of such $XY$ spin chains, we obtain lower bounds on their Lieb--Robinson velocities in terms of group velocities of their effective Hamiltonians: $\\mathfrak v\\ge\\mathrm{ess\\,sup}_{[0,1]} \\frac{2}{\\pi}\\frac{dE}{dN},$ where $E$ is considered as a function of the integrated density of states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-26T22:27:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin chains",
      "isotropic quasiperiodic",
      "transport properties",
      "group velocities",
      "magnetic potentials"
    ],
    "publication": {
      "doi": "10.1007/s00220-015-2474-x",
      "journal": "Communications in Mathematical Physics",
      "year": 2015,
      "month": "Oct",
      "pages": 222
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015CMaPh.tmp..222K"
    }
  }
}