{
  "abstract": "The parity anomaly of a single massless Dirac fermion is manifested as a half-quantized Hall response once the required parity-breaking regularization is supplied. We study the corresponding response for two-dimensional chiral Lifshitz fermions. For a node with low-energy coupling (qx +iqy)^N, the Fermi-loop winding number W = N gives an anomalous Hall response σxy^anom = (W/2)e^2/h. We examine this mechanism in chiral multilayer Haldane models tuned to a valley-selective critical line, where a single gapless chiral Lifshitz fermion remains at the K valley. For the AB, ABC, and ABCA stacks, the projected pseudospin textures give W = 2, 3, 4, while Kubo calculations yield σxy = (1, 3/2, 2)e^2/h; integrated equilibrium boundary currents reproduce the same W/2 sequence. Six-terminal simulations with dephasing further show that the Hall conductivity is quantized at W/2 while the longitudinal conductivity remains finite. These results identify gapless chiral Lifshitz fermions as a higher-order, winding-controlled generalization of the parity-anomalous Hall response, distinct from a quantum anomalous Hall insulating state even when W/2 is an integer.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. B 114, 245417 (2026)",
  "arxiv": "2610.13017",
  "author_total": 3,
  "authors": [
    {
      "name": "Yanmiao Han"
    },
    {
      "name": "Rundong Zhao"
    },
    {
      "name": "Yu-Hao Wan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/10axhannrbq84.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13017",
  "fulltext_url": null,
  "id": "10axhannrbq84",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13017",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.13017",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/10axhannrbq84.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.13017",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13017"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Parity-Anomalous Hall Response of Chiral Lifshitz Fermions",
  "title_text": "Parity-Anomalous Hall Response of Chiral Lifshitz Fermions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/10axhannrbq84",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/dttl-27rf",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}