{
  "abstract": "Thermal transport offers a bulk probe of charge-neutral excitations in frustrated magnets. It remains challenging, however, to determine whether such transport can distinguish different parton mean-field structures of the same spin system. This question is particularly relevant on the honeycomb lattice, where distinct $0$-flux, $π$-flux, and chiral $π/2$-flux sectors have been proposed. In this paper, we compare self-consistent saddle-point solutions in these three sectors for a frustrated $J_1-J_2$ Heisenberg model with a next-nearest-neighbor Dzyaloshinskii-Moriya interaction and a perpendicular magnetic field. Using finite-temperature Schwinger-boson mean-field theory and the Kubo formula for bosonic Bogoliubov-de Gennes systems, we evaluate the intrinsic spinon thermal Hall conductivity. At a common parameter point where all three branches remain gapped, the $0$-flux response is positive and the $π$-flux response is negative for $D>0$ and $h>0$ under the sign conventions used in this paper, whereas the $π/2$-flux response changes sign with increasing temperature. We further show that a projective symmetry combining a sixfold rotation with time reversal forces the zero-field response of a fixed chiral $π/2$-flux domain to vanish. Within the mean-field regime examined in this paper, the sign and temperature dependence of $κ_{xy}/T$ therefore provide a flux-sensitive transport signature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29792",
  "author_total": 1,
  "authors": [
    {
      "name": "Daiki Sasamoto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0sjwewnjd5v36.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29792",
  "fulltext_url": null,
  "id": "0sjwewnjd5v36",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29792",
  "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"
    ],
    [
      "openalex",
      "3104|Advanced Condensed Matter Physics"
    ]
  ],
  "openalex": "W7204903362",
  "pdf_url": "https://arxiv.org/pdf/2608.29792",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0sjwewnjd5v36.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2608.29792",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29792"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Thermal Hall Signatures of Distinct Schwinger-Boson Flux Sectors on the Honeycomb Lattice",
  "title_text": "Thermal Hall Signatures of Distinct Schwinger-Boson Flux Sectors on the Honeycomb Lattice",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/0sjwewnjd5v36",
  "venue": "arXiv",
  "versions": []
}