{
  "abstract": "We propose a four-terminal, X-shaped chiral Majorana interferometer with a central floating superconducting island, enabling the direct detection of the non-Abelian statistics of Ising anyons via the linear-response DC conductance tensor in charge transport experiments. Here, Ising anyons are realizable as edge vortices nucleated at Josephson line junctions defining the superconducting island, where both edge-vortex and Majorana-fermion tunneling processes can occur. We show that in such a multi-terminal Majorana interferometer, both the vacuum and the fermionic fusion channel for Ising anyons are possible. This is in contrast to two-arm interferometers, where only the vacuum fusion channel is accessible and the DC conductance contribution from edge vortices always vanishes. Using a low-energy effective theory derived via chiral bosonization, we find that in the X-shaped interferometer, the DC conductance tensor is completely isotropic, yielding a non-zero conductance when simultaneous edge-vortex and Majorana tunneling activates the fermionic fusion channel. Apart from conductance oscillations in a gate-tunable charge parameter, which display an offset related to the anyon topological spin, measuring a finite conductance can already provide direct evidence for non-Abelian statistics in this geometry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.24171",
  "author_total": 4,
  "authors": [
    {
      "name": "Domenico Giuliano"
    },
    {
      "name": "Andrea Nava"
    },
    {
      "name": "Reinhold Egger"
    },
    {
      "name": "Fabian Hassler"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7aa2dckwyz31g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.24171",
  "fulltext_url": null,
  "id": "7aa2dckwyz31g",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.24171",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7171489202",
  "pdf_url": "https://arxiv.org/pdf/2607.24171",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7aa2dckwyz31g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2607.24171",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.24171"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "DC Conductance of X-shaped Majorana Interferometer reveals Non-Abelian Anyon Statistics",
  "title_text": "DC Conductance of X-shaped Majorana Interferometer reveals Non-Abelian Anyon Statistics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:36Z",
  "url": "https://research.draconitic.com/paper/7aa2dckwyz31g",
  "venue": "arXiv",
  "versions": []
}