{
  "abstract": "Pair-density-wave (PDW) superconductors admit half-quantum vortices that can bind Majorana zero modes, but whether such defects are energetically stabilized in microscopic models remains unclear. We address this question in a spinless honeycomb-lattice model with a PDW phase. Microscopic Hartree-Fock calculations determine the superfluid stiffness $ρ$ and PDW relative-phase stiffness $κ$, and show that $κ/ρ$ approaches unity near the continuous PDW--Dirac-semimetal transition, strongly reducing the long-wavelength cost of vortex fractionalization. Combining this with microscopically extracted Ginzburg--Landau couplings, we show that vortex-core energetics favor fractionalization, producing a strongly enhanced splitting scale and a field-driven full-vortex--to--half-vortex lattice transition. We determine the resulting two-flavor half-vortex lattice structure and construct the associated Majorana lattice. Majorana hybridization produces geometry- and flux-dependent bands with Dirac nodes and zero-energy Fermi lines. Together, these results establish a microscopic route from PDW superconductivity to field-induced half-vortex and Majorana lattices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28636",
  "author_total": 2,
  "authors": [
    {
      "name": "Xinyu Sun"
    },
    {
      "name": "Hong Yao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6n8s1vc2h3c7f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28636",
  "fulltext_url": null,
  "id": "6n8s1vc2h3c7f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28636",
  "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.str-el"
    ],
    [
      "arxiv",
      "cond-mat.supr-con"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7214275422",
  "pdf_url": "https://arxiv.org/pdf/2609.28636",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6n8s1vc2h3c7f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:11Z",
      "native_id": "2609.28636",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28636"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Majorana zero modes in half-quantum vortices of pair density wave superconductors",
  "title_text": "Majorana zero modes in half-quantum vortices of pair density wave superconductors",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:11Z",
  "url": "https://research.draconitic.com/paper/6n8s1vc2h3c7f",
  "venue": "arXiv",
  "versions": []
}