{
  "id": "2311.08932",
  "version": "v1",
  "published": "2023-11-15T13:08:18.000Z",
  "updated": "2023-11-15T13:08:18.000Z",
  "title": "The Anatomy of a Topological Phase Transition in a 2D Chern Insulator",
  "authors": [
    "Arjo Dasgupta",
    "Indra Dasgupta"
  ],
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The onset of the topological phase transition in a two-dimensional model for a Chern Insulator, namely the Qi-Wu-Zhang(QWZ) model, is illustrated, with particular emphasis on the appearance of chiral edge-modes. The edge-modes are studied by analysing the dynamics of the edge-states in an equivalent model for a one-dimensional charge pump, using a technique known as dimensional extension. A further real-space analysis allows us to explain the onset of the topological phase transition in terms of time-reversal symmetry breaking and to quantitatively study the localisation of the edge-modes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-15T13:08:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological phase transition",
      "2d chern insulator",
      "one-dimensional charge pump",
      "two-dimensional model",
      "time-reversal symmetry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}