{
  "abstract": "A conventional interaction-driven Weyl density wave is a complex scalar and supports vortex lines, but no topologically stable point defects. We show that two Weyl flavors do not merely duplicate this order. Starting from the matrix-valued internode coherence, a local flavor-symmetric repulsion selects a traceless adjoint condensate within the density-wave sector, while the fermionic ground-state energy locks its complex components into the collinear form $\\mathbfΔ=Φ_0\\mathbf{n} e^{iθ}$. The resulting order-parameter manifold, $(S^2\\times S^1)/\\mathbb Z_2$, supports both unit hedgehogs and half-quantum Alice strings of the same electronic mass that gaps the Weyl fermions. An elementary hedgehog binds a single normalizable zero mode whose empty and occupied sectors carry charges $-e/2$ and $+e/2$ at neutrality. An elementary Alice string carries a single chiral electronic mode despite its $π$ phase winding, and transporting a hedgehog around it reverses the hedgehog winding, $N\\rightarrow-N$. Flavor therefore converts spontaneous translation breaking into a route to point-defect fractionalization and intertwines the point- and line-defect sectors of an interaction-generated electronic mass.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26957",
  "author_total": 2,
  "authors": [
    {
      "name": "Shantonu Mukherjee"
    },
    {
      "name": "Hridis K. Pal"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/683b60ad7pb0j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26957",
  "fulltext_url": null,
  "id": "683b60ad7pb0j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26957",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7214183683",
  "pdf_url": "https://arxiv.org/pdf/2609.26957",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/683b60ad7pb0j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:48Z",
      "native_id": "2609.26957",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26957"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Matrix Density Waves and Fractionally Charged Point Defects in Flavor Weyl Semimetals",
  "title_text": "Matrix Density Waves and Fractionally Charged Point Defects in Flavor Weyl Semimetals",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:48Z",
  "url": "https://research.draconitic.com/paper/683b60ad7pb0j",
  "venue": "arXiv",
  "versions": []
}