{
  "id": "2406.01005",
  "version": "v1",
  "published": "2024-06-03T05:28:02.000Z",
  "updated": "2024-06-03T05:28:02.000Z",
  "title": "Transfer Matrix Approach for Topological Edge States",
  "authors": [
    "Rickson Wielian",
    "Ivan Toftul",
    "Yuri Kivshar"
  ],
  "comment": "9 pages, 7 figures",
  "categories": [
    "cond-mat.mes-hall",
    "physics.optics"
  ],
  "abstract": "We suggest and develop a novel approach for describing topological properties of a periodic system purely from the transfer matrix associated to a unit cell. This approach is employed to obtain a simple pictorial proof of the Zak phase bulk-edge correspondence for any one dimensional system. We apply the transfer matrix method to study some generalisations of the Su-Schrieffer-Heeger (SSH) model, such as the tetramer SSH4 model and a dimerised one-dimensional photonic crystal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-03T05:28:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transfer matrix approach",
      "topological edge states",
      "zak phase bulk-edge correspondence",
      "simple pictorial proof",
      "transfer matrix method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}