{
  "id": "1303.4049",
  "version": "v1",
  "published": "2013-03-17T10:03:32.000Z",
  "updated": "2013-03-17T10:03:32.000Z",
  "title": "Localization, disorder and boson peak in an amorphous solid",
  "authors": [
    "Leishangthem Premkumar",
    "Shankar P. Das"
  ],
  "comment": "12 pages, 5 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We demonstrate using the classical density functional theory (DFT) model that an intermediate degree of mass localization in the amorphous state is essential for producing the boson peak. The localization length $\\ell$ is identified from the width of the gaussian density profile in terms of which the inhomogeneous density n(x) of the solid is expressed in DFT. At a fixed average density, there exists a limiting value $\\ell_0$ of $\\ell$ signifying a minimum mass localization in the amorphous state. For more delocalized states ($\\ell>\\ell_0$) occurrence of boson peak is unfeasible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-17T10:03:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boson peak",
      "amorphous solid",
      "classical density functional theory",
      "amorphous state",
      "minimum mass localization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.4049P"
    }
  }
}