{
  "id": "2208.10381",
  "version": "v1",
  "published": "2022-08-22T15:01:20.000Z",
  "updated": "2022-08-22T15:01:20.000Z",
  "title": "Analytical Solutions of Topological Surface States in a Series of Lattice Models",
  "authors": [
    "Masaru Onoda"
  ],
  "comment": "6 pages, 3 figures (Supplement: 12 pages, 4 figures)",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We derive the analytical solutions of surface states in a series of lattice models for three-dimensional topological insulators and their nontopological counterparts based on an ansatz. A restriction on the spin-flip matrices in nearest-neighbor hopping characterizes the series. This restriction affords the ansatz and favors analytical solvability of surface-state eigenvectors. Despite the restriction, the series retains sufficient designability to describe various types of surface states. We also mention how it can serve as a tractable tool for elucidating unique phenomena on topological surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-22T15:01:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological surface states",
      "lattice models",
      "analytical solutions",
      "series retains sufficient designability",
      "restriction affords"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}