{
  "id": "2401.15991",
  "version": "v1",
  "published": "2024-01-29T09:20:44.000Z",
  "updated": "2024-01-29T09:20:44.000Z",
  "title": "Measurement of the Chern Number for Non-Hermitian Chern Insulators",
  "authors": [
    "Hongfang Liu",
    "Ming Lu",
    "Shengdu Chai",
    "Zhi-Qiang Zhang",
    "Hua Jiang"
  ],
  "comment": "15 pages, 10 figures, Comments are welcome",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The identification of the topological invariant of a topological system is crucial in experiments. However, due to the inherent non-Hermitian features, such determination is notably challenging in non-Hermitian systems. Here, we propose that the magnetic effect can be utilized to measure the Chern number of the non-Hermitian Chern insulator. We find that the splitting of non-Hermitian bands under the magnetic field is Chern number dependent. Consequently, one can easily identify the Chern number by analyzing these splitting sub-bands. From the experimental perspective, the measurement of non-Hermitian bands is demonstrated in LC electric circuits. Furthermore, we find that the non-Hermiticity can drive open (closed) orbits of sub-bands in the Hermitian limit closed (open), which can also be identified by our proposal. These phenomena highlight the distinctive capabilities of non-Hermitian systems. Our results facilitate the detection of Chern numbers for non-Hermitian systems and may motivate further studies of their topological properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-29T09:20:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chern number",
      "non-hermitian chern insulator",
      "non-hermitian systems",
      "measurement",
      "non-hermitian bands"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}