{
  "id": "1409.6139",
  "version": "v1",
  "published": "2014-09-22T10:57:22.000Z",
  "updated": "2014-09-22T10:57:22.000Z",
  "title": "Exceptional-point avatar of Majorana fermions in one dimension",
  "authors": [
    "Sourin Das",
    "Indubala I Satija"
  ],
  "comment": "5 pages, 1 figure",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "Majorana bound states appearing in 1-D p-wave superconductor ($\\cal{PWS}$) are found to result in exotic quantum holonomy of both eigenvalues and the eigenstates. Induced by a degeneracy hidden in complex Bloch vector space, Majorana states are identified with a pair of exceptional point ($\\cal{EP}$) singularities. Characterized by a collapse of the vector space, these singularities are defects in Hilbert space that lead to M$\\ddot{\\rm o}$bius strip-like structure of the eigenspace and singular quantum metric. The topological phase transition in the language of $\\cal{EP}$ is marked by one of the two exception point singularity degenerating to a degeneracy point with non singular quantum metric. This may provide an elegant and useful framework to characterize the topological aspect of Majorana fermions and the topological phase transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-22T10:57:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "majorana fermions",
      "exceptional-point avatar",
      "topological phase transition",
      "non singular quantum metric",
      "complex bloch vector space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1318545,
      "adsabs": "2014arXiv1409.6139D"
    }
  }
}