{
  "id": "1301.1618",
  "version": "v1",
  "published": "2013-01-08T18:01:46.000Z",
  "updated": "2013-01-08T18:01:46.000Z",
  "title": "Topological phase transitions with and without energy gap closing",
  "authors": [
    "Yunyou Yang",
    "Huichao Li",
    "L. Sheng",
    "R. Shen",
    "D. N. Sheng",
    "D. Y. Xing"
  ],
  "comment": "5 pages, 5 figures",
  "journal": "New J. Phys. 15 083042 (2013)",
  "doi": "10.1088/1367-2630/15/8/083042",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "Topological phase transitions in a three-dimensional (3D) topological insulator (TI) with an exchange field of strength $g$ are studied by calculating spin Chern numbers $C^\\pm(k_z)$ with momentum $k_z$ as a parameter. When $|g|$ exceeds a critical value $g_c$, a transition of the 3D TI into a Weyl semimetal occurs, where two Weyl points appear as critical points separating $k_z$ regions with different first Chern numbers. For $|g|<g_c$, $C^\\pm(k_z)$ undergo a transition from $\\pm 1$ to 0 with increasing $|k_z|$ to a critical value $k_z^{\\tiny C}$. Correspondingly, surface states exist for $|k_z| < k_z^{\\tiny C}$, and vanish for $|k_z| \\ge k_z^{\\tiny C}$. The transition at $|k_z| = k_z^{\\tiny C}$ is acompanied by closing of spin spectrum gap rather than energy gap.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-08T18:01:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.23.-f",
      "72.25.-b",
      "73.20.At",
      "73.50.-h"
    ],
    "keywords": [
      "topological phase transitions",
      "energy gap closing",
      "spin spectrum gap",
      "weyl points appear",
      "weyl semimetal occurs"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "New Journal of Physics",
      "year": 2013,
      "month": "Aug",
      "volume": 15,
      "number": 8,
      "pages": "083042"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1209777,
      "adsabs": "2013NJPh...15h3042Y"
    }
  }
}