{
  "id": "1709.03935",
  "version": "v1",
  "published": "2017-09-12T16:18:16.000Z",
  "updated": "2017-09-12T16:18:16.000Z",
  "title": "Entanglement entropy and entanglement spectrum of Bi$_{1-x}$Sb$_{x}$ (111) bilayers",
  "authors": [
    "M. Brzezińska",
    "M. Bieniek",
    "T. Woźniak",
    "P. Potasz",
    "A. Wójs"
  ],
  "comment": "8 pages, 8 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We investigate topological properties of Bi$_{1-x}$Sb$_{x}$ bilayers in the (111) plane using entanglement measures. Electronic structures are studied using multi-orbital tight-binding model, with structural stability confirmed through first-principles calculations. Topologically non-trivial nature of Bi bilayer is proved by the presence of spectral flow in the entanglement spectrum. We consider topological phase transitions driven by a composition change $x$, an applied external electric field in pure Bi, and strain in pure Sb. Composition- and strain-induced phase transitions reveal a finite discontinuity in the entanglement entropy. However, this quantity remains a continuous function of electric field strength, but shows a discontinuity in the first derivative. We relate the difference in behavior of the entanglement entropy to breaking of the inversion symmetry in the last case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-12T16:18:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entanglement entropy",
      "entanglement spectrum",
      "applied external electric field",
      "topological phase transitions driven",
      "electric field strength"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}