{
  "abstract": "We determine the temperature and momentum dependence of the static spin exchange--correlation kernel of the unpolarized three-dimensional uniform electron gas using variational diagrammatic Monte Carlo. The calculations cover metallic densities with Wigner--Seitz radii $r_s=1\\!-\\!4$ and temperatures $T/T_F=1/16\\!-\\!8$, where $T_F$ is the Fermi temperature. At low temperature, the calculated kernel approaches established ground-state parametrizations. Heating suppresses its Fermi-scale minimum and reduces its magnitude, while the relative momentum dependence evolves nonmonotonically through the warm-dense crossover. At the two highest temperatures studied, the spin kernel is nearly constant over $q \\leq 2k_F$, where $k_F$ is the Fermi wave number. The charge kernel at $r_s=1$ retains pronounced momentum dependence under the same conditions, making a local approximation to the XC kernel more accurate in the spin channel over this interval. The directly sampled uniform response determines the XC free-energy curvature with respect to spin polarization, independently of a fitted polarization dependence. This curvature sets the interaction contribution to the free-energy cost of weak polarization and differs by several percent from the Groth--Dornheim--Bonitz parametrization at elevated temperatures. These results provide momentum-resolved reference data for finite-temperature spin-response theories and direct constraints on the spin dependence of thermal free-energy functionals.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.16888",
  "author_total": 4,
  "authors": [
    {
      "name": "Pengcheng Hou"
    },
    {
      "name": "Zhiyi Li"
    },
    {
      "name": "Youjin Deng"
    },
    {
      "name": "Kun Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c2kswywz364ky.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.16888",
  "fulltext_url": null,
  "id": "c2kswywz364ky",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.16888",
  "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"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ],
    [
      "arxiv",
      "physics.plasm-ph"
    ],
    [
      "openalex",
      "3107|Advanced Chemical Physics Studies"
    ]
  ],
  "openalex": "W7161702567",
  "pdf_url": "https://arxiv.org/pdf/2605.16888",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c2kswywz364ky.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2605.16888",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.16888"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.plasm-ph",
      "subfield": "plasma"
    }
  ],
  "title": "Static spin exchange-correlation kernel of the uniform electron gas at finite temperature",
  "title_text": "Static spin exchange-correlation kernel of the uniform electron gas at finite temperature",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/c2kswywz364ky",
  "venue": "arXiv",
  "versions": []
}