{
  "id": "2210.09860",
  "version": "v1",
  "published": "2022-10-18T13:47:05.000Z",
  "updated": "2022-10-18T13:47:05.000Z",
  "title": "Topological polarization in disordered systems",
  "authors": [
    "Giuseppe De Nittis",
    "Danilo Polo"
  ],
  "comment": "22 pages. Keywords: Piezoelectricity, orbital polarization, King-Smith and Vanderbilt formula",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Deformations in piezoelectric materials lead to conduction effects, which are due to two contributions: the relative displacements of the ionic cores, and the so-called orbital polarization. This work is devoted to the rigorous derivation of the celebrated King-Smith and Vanderbilt formula for orbital polarization in a generalized setting that includes continuous random systems among others.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-18T13:47:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q41",
      "81Q70",
      "81R60",
      "82B44"
    ],
    "keywords": [
      "disordered systems",
      "topological polarization",
      "orbital polarization",
      "ionic cores",
      "vanderbilt formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}