{
  "abstract": "The microscopic mechanism governing the zero-field incommensurate magnetic order in the honeycomb cobaltate $\\mathrm{BaCo}_2(\\mathrm{AsO}_4)_2$ remains a significant unresolved problem, particularly concerning the relative contributions of bond-directional Kitaev-type interactions and exchange frustration. This study investigates an extended $J_1\\text{--}K\\text{--}Γ\\text{--}Γ'\\text{--}J_2\\text{--}J_3$ model, which incorporates XXZ-type exchange anisotropies on the honeycomb lattice. Nearest-neighbor parameters are constrained by ab initio electronic structure calculations. By integrating the analytical Luttinger-Tisza approach with exact diagonalization calculations under twisted boundary conditions, we delineate the classical and quantum phase diagrams across the $(J_2, J_3)$ parameter space. We demonstrate that the stabilization of the experimentally observed incommensurate spiral phase, propagating along the $Γ\\to M$ direction, does not necessitate an anomalously dominant Kitaev coupling. Instead, this phase arises naturally from the synergistic interplay between exchange frustration, driven by further-neighbor couplings ($J_2, J_3$), and intermediate off-diagonal bond anisotropies ($Γ, Γ'$). In the quantum regime, we elucidate the competition between this incommensurate manifold and an out-of-plane ferromagnetic ($\\mathrm{FM}_z$) phase, which is selectively stabilized via a quantum order-by-disorder mechanism. Our findings reconcile conflicting interpretations of the magnetic interactions in $\\mathrm{BaCo}_2(\\mathrm{AsO}_4)_2$ and establish the microscopic origin and stability range of its incommensurate ground state.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.00626",
  "author_total": 3,
  "authors": [
    {
      "name": "Mohammad-Hossein Zare"
    },
    {
      "name": "Mehdi Biderang"
    },
    {
      "name": "Hamid Mosadeq"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5hsvct17qbcpe.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.00626",
  "fulltext_url": null,
  "id": "5hsvct17qbcpe",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.00626",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3104|Advanced Condensed Matter Physics"
    ]
  ],
  "openalex": "W7215739034",
  "pdf_url": "https://arxiv.org/pdf/2610.00626",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5hsvct17qbcpe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:03Z",
      "native_id": "2610.00626",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.00626"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Mechanism of Incommensurate Magnetic Order in $\\mathrm{BaCo_2(AsO_4)_2}$: Interplay of Frustrated Further-Neighbor Exchanges and Bond-Directional Anisotropy",
  "title_text": "Mechanism of Incommensurate Magnetic Order in BaCo_2(AsO_4)_2: Interplay of Frustrated Further-Neighbor Exchanges and Bond-Directional Anisotropy",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:03Z",
  "url": "https://research.draconitic.com/paper/5hsvct17qbcpe",
  "venue": "arXiv",
  "versions": []
}