{
  "abstract": "Orbitally degenerate systems provide a promising platform for realizing novel quantum phases driven by spin-orbital exchange interactions, as described by the Kugel-Khomskii model. Spinel vanadates, in which orbital degrees of freedom remain active, exhibit structural and magnetic transitions accompanied by orbital ordering, but the nature of the orbital state in MnV$_2$O$_4$ remains under debate. Here, we combine first-principles calculations with an effective spin-orbital model to address this problem. We show that a significant trigonal crystal field is present in high-temperature cubic phase and plays an essential role in determining the low-energy degrees of freedom. Based on the resulting parameters, we construct an effective Hamiltonian beyond the conventional dominant-hopping approximation and demonstrate that subdominant hopping processes strongly modify the spin-orbital exchange interactions. As a result, the system stabilizes a two-in/two-out magnetic configuration featuring spin canting and intertwined dipole-quadrupole orbital order.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.03028",
  "author_total": 2,
  "authors": [
    {
      "name": "Hiroki Nakai"
    },
    {
      "name": "Yusuke Nomura"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3gz0zgs8aw2gx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.03028",
  "fulltext_url": null,
  "id": "3gz0zgs8aw2gx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.03028",
  "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": "W7160394931",
  "pdf_url": "https://arxiv.org/pdf/2605.03028",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3gz0zgs8aw2gx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2605.03028",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.03028"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Spin-orbital exchange as a route to intertwined dipole-quadrupole orbital order in MnV$_2$O$_4$ under strong trigonal crystal field",
  "title_text": "Spin-orbital exchange as a route to intertwined dipole-quadrupole orbital order in MnV_2O_4 under strong trigonal crystal field",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:36Z",
  "url": "https://research.draconitic.com/paper/3gz0zgs8aw2gx",
  "venue": "arXiv",
  "versions": []
}