{
  "id": "1512.02043",
  "version": "v1",
  "published": "2015-12-07T13:53:58.000Z",
  "updated": "2015-12-07T13:53:58.000Z",
  "title": "Construction of Wannier Functions in Disordered Systems",
  "authors": [
    "Junbo Zhu",
    "Zhu Chen",
    "Biao Wu"
  ],
  "comment": "7 pages, 4 figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mtrl-sci",
    "cond-mat.quant-gas"
  ],
  "abstract": "In this work, we propose a general method of constructing Wannier functions in disordered system out of energy eigenstates directly. This method consists of two successive operations: (i) a phase transformation setting the proper localization center; (ii) the mixing of adjacent states in energy space which sufficiently minimize the spread of the Wannier functions. The latter operation can be well approximated by a band matrix, further facilitating the calculation. Detailed illustration is given in terms of examples in one dimensional system. The generalization to higher dimensions is straightforward.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-07T13:53:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "disordered system",
      "construction",
      "proper localization center",
      "general method",
      "energy eigenstates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}