{
  "abstract": "The $5d^5$ Ruddlesden-Popper iridates Sr$_2$IrO$_4$ and Ba$_2$IrO$_4$ have attracted considerable attention as spin-orbit entangled analogues of the cuprates, yet the origin of their antiferromagnetic insulating state, of Slater or of Mott-Heisenberg type, remains debated. We find that both materials sit in an intermediate regime in which itinerant and localized electrons cooperate in stabilizing the antiferromagnetic order, with Ba$_2$IrO$_4$ slightly more correlated than Sr$_2$IrO$_4$. We obtain this by computing, within dynamical mean-field theory, the interaction-temperature phase diagram of a realistic three-orbital $t_{2g}$ Hubbard model with spin-orbit coupling. Our study shows that neither the behavior of the gap across the Néel temperature nor the spin-polaron features of the spectral function unambiguously identify the cooperative regime, whereas the two-peak structure of the optical conductivity is reproduced only there and therefore constitutes a reliable fingerprint. By placing both compounds in a common phase diagram, our results reconcile seemingly contradictory experimental and theoretical reports, and provide a unified framework for future studies of the 214 iridates and of other spin-orbit coupled correlated materials.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33196",
  "author_total": 3,
  "authors": [
    {
      "name": "Francesco Cassol"
    },
    {
      "name": "Michele Casula"
    },
    {
      "name": "Benjamin Lenz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/apd8820mtbr47.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33196",
  "fulltext_url": null,
  "id": "apd8820mtbr47",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33196",
  "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": "W7223814732",
  "pdf_url": "https://arxiv.org/pdf/2610.33196",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/apd8820mtbr47.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33196",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33196"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Cooperation of itinerant and localized physics in the magnetic phase diagram of 214 Ruddlesden-Popper iridates",
  "title_text": "Cooperation of itinerant and localized physics in the magnetic phase diagram of 214 Ruddlesden-Popper iridates",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/apd8820mtbr47",
  "venue": "arXiv",
  "versions": []
}