{
  "abstract": "We extend the dynamical vertex approximation (D$Γ$A), in its most commonly used ladder-version, to systems with retarded electronic interactions. Such an extended scheme, which we name \"dynamical-$U$ D$Γ$A\", allows us to study strongly interacting electrons coupled to bosons including non-local spatial correlations on all length scales on top of the purely local ones captured by dynamical mean-field theory. We demonstrate the applicability of the method in the specific case of the coupling to a single dispersionless phononic mode, by studying the Hubbard-Holstein model on the square and cubic lattices, focusing on regimes of sizable Hubbard interactions where strong electronic correlations compete with phonon-mediated interactions. As illustrative examples, we consider the antiferromagnetic phase in the three-dimensional model and the d-wave superconductor in two dimensions, analyzing the effect of the electron-phonon coupling, including its frequency dependence, on both instabilities.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08512",
  "author_total": 4,
  "authors": [
    {
      "name": "Emin Moghadas"
    },
    {
      "name": "Samuele Giuli"
    },
    {
      "name": "Massimo Capone"
    },
    {
      "name": "Alessandro Toschi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/br2nvy81n1hhg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08512",
  "fulltext_url": null,
  "id": "br2nvy81n1hhg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08512",
  "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",
      "3104|Physics of Superconductivity and Magnetism"
    ]
  ],
  "openalex": "W7221027664",
  "pdf_url": "https://arxiv.org/pdf/2610.08512",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/br2nvy81n1hhg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2610.08512",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08512"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Dynamical vertex approximation for retarded interactions: Application to the Hubbard-Holstein model",
  "title_text": "Dynamical vertex approximation for retarded interactions: Application to the Hubbard-Holstein model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:28Z",
  "url": "https://research.draconitic.com/paper/br2nvy81n1hhg",
  "venue": "arXiv",
  "versions": []
}