{
  "abstract": "Single-particle finite-size errors remain a central obstacle in quantum Monte Carlo (QMC) simulations of periodic systems, conventionally reduced via twist averaging (TA). Here we introduce Good-$Γ$ (GG) particle numbers as system sizes $N$ at which the $Γ$-point Hartree--Fock (HF) energy of the high-density two-dimensional uniform electron gas (2D UEG) lies anomalously close to its thermodynamic-limit (TL) value. All results in this work concern the 2D UEG in its high-density Fermi-liquid regime, $r_s=1$--$4$. We systematically investigate the kinetic- and exchange-energy errors, $ΔKE(N)$ and $ΔEX(N)$, that underlie this one-body finite-size-error cancellation across four densities and both spin polarizations. We then compare diffusion Monte Carlo (DMC) energies extrapolated to the TL from GG-$N$ sequences against twist-averaged extrapolations at the same densities and polarizations, finding agreement to within a fraction of a millihartree in every case, independent of whether a $1/N$ or an $N^{-5/4}$ extrapolation form is used.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27761",
  "author_total": 4,
  "authors": [
    {
      "name": "S. Azadi"
    },
    {
      "name": "T. D. Kühne"
    },
    {
      "name": "A. Principi"
    },
    {
      "name": "M. S. Bahramy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6xxnher2h47em.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27761",
  "fulltext_url": null,
  "id": "6xxnher2h47em",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27761",
  "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.quant-gas"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ],
    [
      "openalex",
      "3107|Advanced Chemical Physics Studies"
    ]
  ],
  "openalex": "W7223116241",
  "pdf_url": "https://arxiv.org/pdf/2610.27761",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6xxnher2h47em.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.27761",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27761"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Good-$Γ$ Numbers: A Shell-Optimized Route to the Thermodynamic Limit in Quantum Monte Carlo Calculations of the High-Density Two-Dimensional Electron Gas",
  "title_text": "Good-Γ Numbers: A Shell-Optimized Route to the Thermodynamic Limit in Quantum Monte Carlo Calculations of the High-Density Two-Dimensional Electron Gas",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/6xxnher2h47em",
  "venue": "arXiv",
  "versions": []
}