{
  "id": "2002.07622",
  "version": "v1",
  "published": "2020-02-18T15:01:52.000Z",
  "updated": "2020-02-18T15:01:52.000Z",
  "title": "Mirror-symmetry protected quantization of Berry phases and resulting magnetoresistance across the topological transition in Pb$_{1-x}$Sn$_{x}$Se",
  "authors": [
    "Alexander Kazakov",
    "Wojciech Brzezicki",
    "Timo Hyart",
    "Bartłomiej Turowski",
    "Jakub Polaczyński",
    "Zbigniew Adamus",
    "Marta Aleszkiewicz",
    "Tomasz Wojciechowski",
    "Jarosław J. Domagała",
    "Andrei Varykhalov",
    "Gunther Springholz",
    "Tomasz Wojtowicz",
    "Valentine V. Volobuev",
    "Tomasz Dietl"
  ],
  "comment": "Main text: 7 pages, 3 figures; Supplementary materials: 13 pages, 8 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "Quantization of geometrical phases accounts for phenomena, such as the Aharonov-Bohm effect and Bohr-Sommerfeld quantization of energy levels, which are hallmarks of quantum physics. It has more recently been realized that the quantized value of the Berry phase $\\varphi=\\pi$, if evaluated over a proper trajectory in the Brillouin zone, points to the presence of topological surface states. Similarly, positive magnetoresistance, resulting from weak antilocalization (WAL) when the spin-orbit diffusion length is much shorter than phase breaking length, is taken as evidence that the Berry phase evaluated along the Fermi cross section is quantized as $\\varphi=\\pi$. Here, we consider the case of cubic lead-tin monochalcogenides and demonstrate, both theoretically and experimentally, that the quantization of $\\varphi$ results from the crystalline mirror and time-reversal symmetries. We show that the observed magnetoresistance behaviour follows the theory prediction that Berry phase is quantized to $\\varphi=\\pi$ for both topologically trivial and non-trivial materials and becomes non-quantized by intentionally breaking the mirror symmetry with an additional amorphous layer.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-18T15:01:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "berry phase",
      "mirror-symmetry protected quantization",
      "resulting magnetoresistance",
      "topological transition",
      "cubic lead-tin monochalcogenides"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}