{
  "id": "2303.00759",
  "version": "v1",
  "published": "2023-03-01T19:00:01.000Z",
  "updated": "2023-03-01T19:00:01.000Z",
  "title": "General scatterings and electronic states in the quantum-wire network of moiré systems",
  "authors": [
    "Chen-Hsuan Hsu",
    "Daniel Loss",
    "Jelena Klinovaja"
  ],
  "comment": "12 pages, 6 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We investigate electronic states in a two-dimensional network consisting of interacting quantum wires, a model adopted for twisted bilayer systems. We construct general operators which describe various scattering processes in the system. In a twisted bilayer structure, the moir\\'e periodicity allows for generalized umklapp scatterings, leading to a class of correlated states at fractional fillings. We identify scattering processes which can lead to an insulating bulk with gapless chiral edge modes at certain fractional fillings, resembling the quantum anomalous Hall effect recently observed in twisted bilayer graphene. Finally, we propose experimental setups to detect and characterize the edge modes through spectroscopic and transport measurements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-01T19:00:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "electronic states",
      "quantum-wire network",
      "general scatterings",
      "twisted bilayer",
      "fractional fillings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}