{
  "id": "2205.11222",
  "version": "v1",
  "published": "2022-05-23T12:07:24.000Z",
  "updated": "2022-05-23T12:07:24.000Z",
  "title": "Stability of Majorana Edge Zero Modes against Interactions",
  "authors": [
    "Tohru Koma"
  ],
  "comment": "27 pages, no figure",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.MP"
  ],
  "abstract": "We study an interacting Majorana chain with an open boundary condition. In the case without interactions, the system shows a prototypical Majorana edge zero mode in the sector of the ground state with a spectral gap above the sector. We prove that both of the Majorana edge zero mode and the non-vanishing spectral gap are stable against generic weak interactions whose fermion parity is even. We also deal with the corresponding ladder systems, and discuss the $\\mathbb{Z}_2$ index for the Majorana edge zero modes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-23T12:07:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spectral gap",
      "prototypical majorana edge zero mode",
      "generic weak interactions",
      "open boundary condition",
      "corresponding ladder systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}