{
  "id": "2308.00776",
  "version": "v1",
  "published": "2023-08-01T18:29:05.000Z",
  "updated": "2023-08-01T18:29:05.000Z",
  "title": "Lack of near-sightedness principle in non-Hermitian systems",
  "authors": [
    "Helene Spring",
    "Viktor Könye",
    "Anton R. Akhmerov",
    "Ion Cosma Fulga"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "The non-Hermitian skin effect is a phenomenon in which an extensive number of states accumulates at the boundaries of a system. It has been associated to nontrivial topology, with nonzero bulk invariants predicting its appearance and its position in real space. Here we demonstrate that the non-Hermitian skin effect is not a topological phenomenon in general: when translation symmetry is broken by a single non-Hermitian impurity, skin modes are depleted at the boundary and accumulate at the impurity site, without changing any bulk invariant. This may occur even for a fully Hermitian bulk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-01T18:29:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-hermitian systems",
      "near-sightedness principle",
      "non-hermitian skin effect",
      "single non-hermitian impurity",
      "states accumulates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}