{
  "id": "2505.02187",
  "version": "v1",
  "published": "2025-05-04T17:07:03.000Z",
  "updated": "2025-05-04T17:07:03.000Z",
  "title": "Topological Surface States of 3D Topological Insulator on Twisted Bilayer Graphene",
  "authors": [
    "Yoonkang Kim"
  ],
  "comment": "11 pages",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "We present a comprehensive theoretical study of the topological surface states (TSS) of Bi$_2$Se$_3$, a 3D topological insulator, epitaxially grown on twisted bilayer graphene (tBG). The moir\\'e potential induced by tBG folds the TSS Dirac cone into the moir\\'e Brillouin zone (MBZ), resulting in mini-gap openings, band flattening, and the potential emergence of secondary Dirac points. Using effective field theory, symmetry analysis, and higher-order perturbation theory, we analyze both commensurate and incommensurate twist angles, revealing significant band structure reconstruction in periodic systems and quasi-periodic effects in incommensurate ones. This work provides deep insights into the interplay between topological protection and moir\\'e modulation, offering a pathway to engineer novel topological phases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-04T17:07:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological surface states",
      "3d topological insulator",
      "twisted bilayer graphene",
      "revealing significant band structure reconstruction",
      "moire brillouin zone"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}