{
  "model": "HEG2D",
  "lattice": "square",
  "n_sites": 37,
  "boundary": "P",
  "params": {
    "N_up": 37,
    "N_dn": 0,
    "rs": 5,
    "twist": "Gamma"
  },
  "instance_id": "HEG2D/square_37_P_37_0_5",
  "rows": [
    {
      "energy": -5.31801,
      "sigma": 0.00148,
      "energy_variance": null,
      "dof": 37,
      "einf": null,
      "v_score": null,
      "method": "Neural canonical transformation",
      "method_detail": "normalizing-flow backflow on a plane-wave determinant",
      "method_as_published": "Neural canonical transformation (ground state)",
      "family": "other NQS",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "H. Xie, L. Zhang & L. Wang, m* of two-dimensional electron gas: a neural canonical transformation study, SciPost Phys. 14, 154 (2023), arXiv:2201.03156, doi:10.21468/SciPostPhys.14.6.154",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-16",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-16",
        "method": "source text of arXiv:2201.03156 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; single reading",
        "reported_as": "−0.28746(8)",
        "note": "Fig. 2(b) caption (value read from caption text; the figure curve is not a table); sources/2201.03156.txt line 266; printed in Ry per electron; version read: arXiv text; SciPost copy not read | Rydberg ('We set the energy unit to be Rydberg'), converted × 1/2; N electrons in a two-dimensional periodic box of length L (square cell), spin polarized; QMBL's HF check: -0.14373 Ha per electron is 0.0118 Ha below QMBL's HF energy -0.1319137.",
        "secondary_of": null
      }
    }
  ],
  "url": "https://qmbl.org/i/HEG2D/square_37_P_37_0_5/",
  "per_site_divisor": 37,
  "per_site_label": "E/N (Ha)",
  "record": {
    "energy": -5.31801,
    "sigma": 0.00148,
    "method": "Neural canonical transformation",
    "method_detail": "normalizing-flow backflow on a plane-wave determinant",
    "reference": "H. Xie, L. Zhang & L. Wang, m* of two-dimensional electron gas: a neural canonical transformation study, SciPost Phys. 14, 154 (2023), arXiv:2201.03156, doi:10.21468/SciPostPhys.14.6.154",
    "bound_type": "variational",
    "energy_per_site": -0.14373
  },
  "no_record_reason": null
}