{
  "abstract": "We study how vortex--edge coupling reorganizes the low-energy sector of a finite two-dimensional \\(p_x+ip_y\\) superconducting disk as a function of the vortex--boundary separation \\(d\\) and examine what this reorganization implies for the parity memory associated with a prescribed vortex-core Majorana wave packet, a resource relevant to Majorana-based quantum operations. Bogoliubov--de Gennes calculations reveal nonmonotonic core--edge reorganization of the lowest positive-energy finite-disk eigenstate, with particularly rapid variation near \\(d\\simeq7ξ\\), where \\(ξ\\) is the coherence length. To separate this eigenstate reorganization from the spectral representation of a prescribed state, we rigidly translate a centered-vortex core-reference packet to each fixed vortex position, restrict it to the target disk, and project it, without intermediate normalization, onto the particle-hole-complete low-energy subspace. For \\(Δ_0/E_F=0.36\\) and disk radius \\(R=30ξ\\), the resulting retained norm exceeds \\(0.98\\) at all six sampled separations, \\(4.25\\leq d/ξ\\leq8.25\\), while, depending on \\(d\\), the spectral measure is concentrated near zero energy, fragmented over several low-energy levels, or dominated by finite-energy weight. Correspondingly, the signed parity correlator displays slow temporal variation, rapid coherent dephasing, or sign-changing oscillations, with possible finite-size recurrences at later times. Thus a large retained norm does not by itself imply spectral concentration or persistent parity memory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02260",
  "author_total": 2,
  "authors": [
    {
      "name": "Peiyao Liu"
    },
    {
      "name": "Yi Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7e026hw9c6g5t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02260",
  "fulltext_url": null,
  "id": "7e026hw9c6g5t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02260",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.supr-con"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7207851582",
  "pdf_url": "https://arxiv.org/pdf/2609.02260",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7e026hw9c6g5t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2609.02260",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02260"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Vortex-core Majorana coupling to a chiral edge in a $p_x+ip_y$ superconductor: Nonmonotonic spectral reorganization and coherent fermion-parity dynamics",
  "title_text": "Vortex-core Majorana coupling to a chiral edge in a p_x+ip_y superconductor: Nonmonotonic spectral reorganization and coherent fermion-parity dynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/7e026hw9c6g5t",
  "venue": "arXiv",
  "versions": []
}