{
  "model": "HEG3D",
  "lattice": "bcc",
  "n_sites": 27,
  "boundary": "P",
  "params": {
    "N_up": 27,
    "N_dn": 0,
    "rs": 50,
    "twist": "Gamma"
  },
  "instance_id": "HEG3D/bcc_27_P_27_0_50",
  "rows": [
    {
      "energy": -0.390906,
      "sigma": 0.000108,
      "energy_variance": null,
      "dof": 27,
      "einf": null,
      "v_score": null,
      "method": "FermiNet",
      "method_detail": "16 dense determinants, 4 layers 512/64",
      "method_as_published": "FermiNet (16 dense determinants)",
      "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": "G. Cassella, H. Sutterud, S. Azadi, N. D. Drummond, D. Pfau, J. S. Spencer & W. M. C. Foulkes, Discovering Quantum Phase Transitions with Fermionic Neural Networks, Phys. Rev. Lett. 130, 036401 (2023), arXiv:2202.05183, doi:10.1103/PhysRevLett.130.036401",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-16",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-16",
        "method": "source text of arXiv:2202.05183 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": "−0.014478(4)",
        "note": "Table IV (SI), rs=50.0, column 'FermiNet'; sources/2202.05183.txt line 712; printed in Ha per electron; version read: arXiv text, Supplementary Table IV; APS copy not read | Hartree per electron, spin-polarized N = 27 in a body-centred cubic cell (text and caption). QMBL's HF check fixes the cell: at rs = 0.2 the FermiNet energy 44.18067 is 0.047 Ha below QMBL's bcc HF energy (open shell), against 5.1 and 2.6 Ha above it for sc and fcc cells.",
        "secondary_of": null
      }
    },
    {
      "energy": -0.3888891,
      "sigma": 0.0000027,
      "energy_variance": null,
      "dof": 27,
      "einf": null,
      "v_score": null,
      "method": "Slater-Jastrow-backflow",
      "method_detail": "plane-wave determinant",
      "method_as_published": "SJB-VMC (gas)",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "G. Cassella, H. Sutterud, S. Azadi, N. D. Drummond, D. Pfau, J. S. Spencer & W. M. C. Foulkes, Discovering Quantum Phase Transitions with Fermionic Neural Networks, Phys. Rev. Lett. 130, 036401 (2023), arXiv:2202.05183, doi:10.1103/PhysRevLett.130.036401",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-16",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-16",
        "method": "source text of arXiv:2202.05183 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": "−0.0144033(1)",
        "note": "Table IV (SI), rs=50.0, column 'SJB-VMC Gas'; sources/2202.05183.txt line 712; printed in Ha per electron; version read: arXiv text, Supplementary Table IV; APS copy not read | Hartree per electron, spin-polarized N = 27 in a body-centred cubic cell (text and caption). QMBL's HF check fixes the cell: at rs = 0.2 the FermiNet energy 44.18067 is 0.047 Ha below QMBL's bcc HF energy (open shell), against 5.1 and 2.6 Ha above it for sc and fcc cells.",
        "secondary_of": null
      }
    },
    {
      "energy": -0.38999043,
      "sigma": 0.00000135,
      "energy_variance": null,
      "dof": 27,
      "einf": null,
      "v_score": null,
      "method": "Fixed-node DMC",
      "method_detail": "trial state: Slater-Jastrow-backflow, plane-wave determinant",
      "method_as_published": "SJB-DMC (gas trial state)",
      "family": "DMC",
      "bound_type": "projected",
      "bound_type_reason": "projection (GFMC/fixed-node) on a trial state; not a strict variational bound (assigned during source reading)",
      "reference": "G. Cassella, H. Sutterud, S. Azadi, N. D. Drummond, D. Pfau, J. S. Spencer & W. M. C. Foulkes, Discovering Quantum Phase Transitions with Fermionic Neural Networks, Phys. Rev. Lett. 130, 036401 (2023), arXiv:2202.05183, doi:10.1103/PhysRevLett.130.036401",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-16",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-16",
        "method": "source text of arXiv:2202.05183 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": "−0.01444409(5)",
        "note": "Table IV (SI), rs=50.0, column 'SJB-DMC Gas'; sources/2202.05183.txt line 712; printed in Ha per electron; version read: arXiv text, Supplementary Table IV; APS copy not read | Hartree per electron, spin-polarized N = 27 in a body-centred cubic cell (text and caption). QMBL's HF check fixes the cell: at rs = 0.2 the FermiNet energy 44.18067 is 0.047 Ha below QMBL's bcc HF energy (open shell), against 5.1 and 2.6 Ha above it for sc and fcc cells.",
        "secondary_of": null
      }
    },
    {
      "energy": -0.3902256,
      "sigma": 0.0000027,
      "energy_variance": null,
      "dof": 27,
      "einf": null,
      "v_score": null,
      "method": "Slater-Jastrow-backflow",
      "method_detail": "Gaussian-orbital (crystal) determinant",
      "method_as_published": "SJB-VMC (crystal)",
      "family": "classic VMC",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "G. Cassella, H. Sutterud, S. Azadi, N. D. Drummond, D. Pfau, J. S. Spencer & W. M. C. Foulkes, Discovering Quantum Phase Transitions with Fermionic Neural Networks, Phys. Rev. Lett. 130, 036401 (2023), arXiv:2202.05183, doi:10.1103/PhysRevLett.130.036401",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-16",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-16",
        "method": "source text of arXiv:2202.05183 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": "−0.0144528(1)",
        "note": "Table IV (SI), rs=50.0, column 'SJB-VMC Crystal'; sources/2202.05183.txt line 712; printed in Ha per electron; version read: arXiv text, Supplementary Table IV; APS copy not read | Hartree per electron, spin-polarized N = 27 in a body-centred cubic cell (text and caption). QMBL's HF check fixes the cell: at rs = 0.2 the FermiNet energy 44.18067 is 0.047 Ha below QMBL's bcc HF energy (open shell), against 5.1 and 2.6 Ha above it for sc and fcc cells.",
        "secondary_of": null
      }
    },
    {
      "energy": -0.3912786,
      "sigma": 0.0000027,
      "energy_variance": null,
      "dof": 27,
      "einf": null,
      "v_score": null,
      "method": "Fixed-node DMC",
      "method_detail": "trial state: Slater-Jastrow-backflow, Gaussian-orbital (crystal) determinant",
      "method_as_published": "SJB-DMC (crystal trial state)",
      "family": "DMC",
      "bound_type": "projected",
      "bound_type_reason": "projection (GFMC/fixed-node) on a trial state; not a strict variational bound (assigned during source reading)",
      "reference": "G. Cassella, H. Sutterud, S. Azadi, N. D. Drummond, D. Pfau, J. S. Spencer & W. M. C. Foulkes, Discovering Quantum Phase Transitions with Fermionic Neural Networks, Phys. Rev. Lett. 130, 036401 (2023), arXiv:2202.05183, doi:10.1103/PhysRevLett.130.036401",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-16",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-16",
        "method": "source text of arXiv:2202.05183 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": "−0.0144918(1)",
        "note": "Table IV (SI), rs=50.0, column 'SJB-DMC Crystal'; sources/2202.05183.txt line 712; printed in Ha per electron; version read: arXiv text, Supplementary Table IV; APS copy not read | Hartree per electron, spin-polarized N = 27 in a body-centred cubic cell (text and caption). QMBL's HF check fixes the cell: at rs = 0.2 the FermiNet energy 44.18067 is 0.047 Ha below QMBL's bcc HF energy (open shell), against 5.1 and 2.6 Ha above it for sc and fcc cells.",
        "secondary_of": null
      }
    }
  ],
  "url": "https://qmbl.org/i/HEG3D/bcc_27_P_27_0_50/",
  "per_site_divisor": 27,
  "per_site_label": "E/N (Ha)",
  "record": {
    "energy": -0.3912786,
    "sigma": 0.0000027,
    "method": "Fixed-node DMC",
    "method_detail": "trial state: Slater-Jastrow-backflow, Gaussian-orbital (crystal) determinant",
    "reference": "G. Cassella, H. Sutterud, S. Azadi, N. D. Drummond, D. Pfau, J. S. Spencer & W. M. C. Foulkes, Discovering Quantum Phase Transitions with Fermionic Neural Networks, Phys. Rev. Lett. 130, 036401 (2023), arXiv:2202.05183, doi:10.1103/PhysRevLett.130.036401",
    "bound_type": "projected",
    "energy_per_site": -0.014491799999999999
  },
  "no_record_reason": null
}