{
  "abstract": "Although the density functional theory plus Hubbard $U$ correction method (DFT+$U$) is broadly used to study electronic structure of strongly correlated materials, the extension of this method to electron-phonon $g$ matrices has received limited attention. Here, we implement an algorithm that integrates DFT+$U$ method with the finite-displacement method for the calculations of phonons and electron-phonon $g$ matrices. The Hubbard $U$ corrections are applied not only to electronic and phonon structures, but, more importantly, also to electron-phonon $g$ matrices. We demonstrate our algorithm in two prototypical correlated materials: infinite-layer nickelates LaNiO$_2$ and ruthenium dioxide RuO$_2$. We find that: i) While the Hubbard $U$ corrections weakly increase the electron-phonon interaction of 20% hole-doped LaNiO$_2$, its total electron-phonon coupling remains small and is insufficient to account for the observed superconducting transition temperature of about 10-30 K. Our results contrast with the recent work showing that the full GW corrections yield an elevated electron-phonon coupling of 20% hole-doped LaNiO$_2$ five times larger than its DFT value. We attribute this discrepancy to the differences in the Fermi surface topology between DFT+$U$ and GW methods. ii) The inclusion of Hubbard $U$ corrections eliminates the imaginary phonon modes of RuO$_2$ under strain on the TiO$_2$ substrate and substantially reduces the electron-phonon coupling. Our results alleviate the discrepancy between the reported large theoretical electron-phonon coupling and the low superconducting transition temperature observed experimentally. Our work provides an algorithm that fully includes the Hubbard $U$ corrections on electron-phonon properties of correlated materials, and highlights the importance of Fermi surface shape and correlation effects on phonon spectrum and electron-phonon $g$ matrices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Materials Today Physics 67, 102192 (2026)",
  "arxiv": "2605.20985",
  "author_total": 5,
  "authors": [
    {
      "name": "Jiale Chen"
    },
    {
      "name": "Youyou Tu"
    },
    {
      "name": "Chengliang Xia"
    },
    {
      "name": "Jin Zhao"
    },
    {
      "name": "Hanghui Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5s2akyhmbdcsa.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.20985",
  "fulltext_url": null,
  "id": "5s2akyhmbdcsa",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.20985",
  "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.mtrl-sci"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "cond-mat.supr-con"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.20985",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5s2akyhmbdcsa.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2605.20985",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.20985"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Hubbard-$U$-corrected electron-phonon interactions in strongly correlated materials via the finite-displacement method",
  "title_text": "Hubbard-U-corrected electron-phonon interactions in strongly correlated materials via the finite-displacement method",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/5s2akyhmbdcsa",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.mtphys.2026.102192",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}