{
  "abstract": "We introduce a real-frequency framework for the quantum embedding of solids, based on sum-over-poles (SOP) representations. We partition the lattice into periodically repeated interacting fragments and derive an embedded Dyson equation for the fragment, to be solved self-consistently. The resulting scheme generalizes the algorithmic-inversion method of our previous work to interacting Hamiltonians and is closely related to dynamical mean-field theory (DMFT), especially when an extended impurity problem is introduced. By exploiting the compact pole expansion of the embedding potential, we carry out the self-consistent procedure close to the real axis, which avoids ill-posed analytic continuation. In addition, the SOP representation allows us to introduce a pole-and-residue dynamics, which we use to reach the self-consistent solution. After deriving the method, we benchmark it against exact-diagonalization implementations of DMFT on the one-dimensional Hubbard ring at half filling. The framework offers a natural route to real-space dynamical quantum embedding, for periodic systems as well as for strongly correlated defects in materials.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.28472",
  "author_total": 4,
  "authors": [
    {
      "name": "Alessandro Carbone"
    },
    {
      "name": "Massimo Capone"
    },
    {
      "name": "Nicola Marzari"
    },
    {
      "name": "Tommaso Chiarotti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1n41btx4dh0ds.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.28472",
  "fulltext_url": null,
  "id": "1n41btx4dh0ds",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.28472",
  "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",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7223113605",
  "pdf_url": "https://arxiv.org/pdf/2610.28472",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1n41btx4dh0ds.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.28472",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.28472"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Sum-over-poles framework for quantum embedding to approach the real-frequency axis",
  "title_text": "Sum-over-poles framework for quantum embedding to approach the real-frequency axis",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/1n41btx4dh0ds",
  "venue": "arXiv",
  "versions": []
}