{
  "id": "1809.03139",
  "version": "v1",
  "published": "2018-09-10T05:15:34.000Z",
  "updated": "2018-09-10T05:15:34.000Z",
  "title": "Bulk-Boundary Correspondence in Non-Hermitian Systems",
  "authors": [
    "L. Jin",
    "Z. Song"
  ],
  "comment": "4 pages, 4 figures + 8 pages SI",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "Bulk-boundary correspondence is fundamental and important in topological physics; however, it is invalid in certain non-Hermitian systems. Here we report that the way of non-Hermiticity appearance may alter the system topology. The bulk-boundary correspondence is invalid if the introduced non-Hermiticity breaks the chiral-inversion symmetry of the Hermitian systems. After fixing the chiral-inversion symmetry by alternatively introducing the non-Hermiticity, the bulk-boundary correspondence recovers with all the bulk states being extended (the non-Hermitian skin effect vanishes). The vorticity of the topological defects in the vector field associated with the system Bloch Hamiltonian is a topological invariant, the change of which predicts the topological phase transition and the (non)existence of edge states. Our findings provide insightful understanding for the topological features and the bulk-boundary correspondence in non-Hermitian systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-10T05:15:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bulk-boundary correspondence",
      "non-hermitian systems",
      "non-hermitian skin effect vanishes",
      "chiral-inversion symmetry",
      "topological"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}