{
  "model": "HEG3D",
  "lattice": "bcc",
  "n_sites": 64,
  "boundary": "P",
  "params": {
    "N_up": 64,
    "N_dn": 0,
    "rs": 100,
    "twist": "Gamma"
  },
  "instance_id": "HEG3D/bcc_64_P_64_0_100",
  "rows": [
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      "energy_variance": null,
      "dof": 64,
      "einf": null,
      "v_score": null,
      "method": "Slater-Jastrow",
      "method_detail": "Gaussian exponent C = 0.00011 [Eq. (7)]; VMC variance (Ha^2) in the same row: 0.00000329",
      "method_as_published": "SJ-VMC [Gaussian exponent C = 0.00011 [Eq. (7)]; VMC variance (Ha^2) in the same row: 0.00000329] (arXiv:2201.08743)",
      "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": "Sam Azadi and N. D. Drummond, Low-density Phase Diagram of the Three-Dimensional Electron Gas, Phys. Rev. B 105, 245135, arXiv:2201.08743, doi:10.1103/PhysRevB.105.245135",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-19",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-19",
        "method": "source text of arXiv:2201.08743 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": "−0.0076719(3)",
        "note": "Table II, SJ, C=0.00011 [Eq. (7)], column VMC energy; sources/2201.08743.txt line 307; printed in Ha per electron; version read: arXiv text in sources/; journal copy not read | The text names the Ewald interaction ('the interaction ... is of Ewald form', txt line ~287, 'the use of the Ewald interaction rather than 1/r', line ~173) but never the Madelung term. The paper prints no Hartree-Fock energy, so no HF check is possible. Fig. 15 caption (txt line 711): 'The Madelung energy of the bcc lattice has been subtracted off' from the DMC energies, i.e. the energies as printed contain the Madelung term. Indirect check: ferromagnetic bcc crystal at rs=90, N=27 has E = -0.0084925 Ha/el. (Table I), close to the bcc Madelung lattice energy -0.89593/rs = -0.009955 plus the ze",
        "secondary_of": null
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      "v_score": null,
      "method": "Fixed-node DMC",
      "method_detail": "Gaussian exponent C = 0.00011 [Eq. (7)]; VMC variance (Ha^2) in the same row: 0.00000329",
      "method_as_published": "SJ-DMC [Gaussian exponent C = 0.00011 [Eq. (7)]; VMC variance (Ha^2) in the same row: 0.00000329] (arXiv:2201.08743)",
      "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": "Sam Azadi and N. D. Drummond, Low-density Phase Diagram of the Three-Dimensional Electron Gas, Phys. Rev. B 105, 245135, arXiv:2201.08743, doi:10.1103/PhysRevB.105.245135",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-19",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-19",
        "method": "source text of arXiv:2201.08743 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": "−0.00769616(8)",
        "note": "Table II, SJ, C=0.00011 [Eq. (7)], column DMC energy; sources/2201.08743.txt line 307; printed in Ha per electron; version read: arXiv text in sources/; journal copy not read | The text names the Ewald interaction ('the interaction ... is of Ewald form', txt line ~287, 'the use of the Ewald interaction rather than 1/r', line ~173) but never the Madelung term. The paper prints no Hartree-Fock energy, so no HF check is possible. Fig. 15 caption (txt line 711): 'The Madelung energy of the bcc lattice has been subtracted off' from the DMC energies, i.e. the energies as printed contain the Madelung term. Indirect check: ferromagnetic bcc crystal at rs=90, N=27 has E = -0.0084925 Ha/el. (Table I), close to the bcc Madelung lattice energy -0.89593/rs = -0.009955 plus the ze",
        "secondary_of": null
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      "dof": 64,
      "einf": null,
      "v_score": null,
      "method": "Slater-Jastrow",
      "method_detail": "Gaussian exponent C = 0.0001553 (opt.); VMC variance (Ha^2) in the same row: 0.00000274",
      "method_as_published": "SJ-VMC [Gaussian exponent C = 0.0001553 (opt.); VMC variance (Ha^2) in the same row: 0.00000274] (arXiv:2201.08743)",
      "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": "Sam Azadi and N. D. Drummond, Low-density Phase Diagram of the Three-Dimensional Electron Gas, Phys. Rev. B 105, 245135, arXiv:2201.08743, doi:10.1103/PhysRevB.105.245135",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-19",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-19",
        "method": "source text of arXiv:2201.08743 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": "−0.0076737(2)",
        "note": "Table II, SJ, C=0.0001553 (opt.), column VMC energy; sources/2201.08743.txt line 308; printed in Ha per electron; version read: arXiv text in sources/; journal copy not read | The text names the Ewald interaction ('the interaction ... is of Ewald form', txt line ~287, 'the use of the Ewald interaction rather than 1/r', line ~173) but never the Madelung term. The paper prints no Hartree-Fock energy, so no HF check is possible. Fig. 15 caption (txt line 711): 'The Madelung energy of the bcc lattice has been subtracted off' from the DMC energies, i.e. the energies as printed contain the Madelung term. Indirect check: ferromagnetic bcc crystal at rs=90, N=27 has E = -0.0084925 Ha/el. (Table I), close to the bcc Madelung lattice energy -0.89593/rs = -0.009955 plus the ze",
        "secondary_of": null
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      "energy_variance": null,
      "dof": 64,
      "einf": null,
      "v_score": null,
      "method": "Fixed-node DMC",
      "method_detail": "Gaussian exponent C = 0.0001553 (opt.); VMC variance (Ha^2) in the same row: 0.00000274",
      "method_as_published": "SJ-DMC [Gaussian exponent C = 0.0001553 (opt.); VMC variance (Ha^2) in the same row: 0.00000274] (arXiv:2201.08743)",
      "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": "Sam Azadi and N. D. Drummond, Low-density Phase Diagram of the Three-Dimensional Electron Gas, Phys. Rev. B 105, 245135, arXiv:2201.08743, doi:10.1103/PhysRevB.105.245135",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-19",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-19",
        "method": "source text of arXiv:2201.08743 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": "−0.0076957(2)",
        "note": "Table II, SJ, C=0.0001553 (opt.), column DMC energy; sources/2201.08743.txt line 308; printed in Ha per electron; version read: arXiv text in sources/; journal copy not read | The text names the Ewald interaction ('the interaction ... is of Ewald form', txt line ~287, 'the use of the Ewald interaction rather than 1/r', line ~173) but never the Madelung term. The paper prints no Hartree-Fock energy, so no HF check is possible. Fig. 15 caption (txt line 711): 'The Madelung energy of the bcc lattice has been subtracted off' from the DMC energies, i.e. the energies as printed contain the Madelung term. Indirect check: ferromagnetic bcc crystal at rs=90, N=27 has E = -0.0084925 Ha/el. (Table I), close to the bcc Madelung lattice energy -0.89593/rs = -0.009955 plus the ze",
        "secondary_of": null
      }
    },
    {
      "energy": -0.4914304,
      "sigma": 0.0000128,
      "energy_variance": null,
      "dof": 64,
      "einf": null,
      "v_score": null,
      "method": "Slater-Jastrow-backflow",
      "method_detail": "Gaussian exponent C = 0.00011 [Eq. (7)]; VMC variance (Ha^2) in the same row: 0.00000252",
      "method_as_published": "SJB-VMC [Gaussian exponent C = 0.00011 [Eq. (7)]; VMC variance (Ha^2) in the same row: 0.00000252] (arXiv:2201.08743)",
      "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": "Sam Azadi and N. D. Drummond, Low-density Phase Diagram of the Three-Dimensional Electron Gas, Phys. Rev. B 105, 245135, arXiv:2201.08743, doi:10.1103/PhysRevB.105.245135",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-19",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-19",
        "method": "source text of arXiv:2201.08743 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": "−0.0076786(2)",
        "note": "Table II, SJB, C=0.00011 [Eq. (7)], column VMC energy; sources/2201.08743.txt line 309; printed in Ha per electron; version read: arXiv text in sources/; journal copy not read | The text names the Ewald interaction ('the interaction ... is of Ewald form', txt line ~287, 'the use of the Ewald interaction rather than 1/r', line ~173) but never the Madelung term. The paper prints no Hartree-Fock energy, so no HF check is possible. Fig. 15 caption (txt line 711): 'The Madelung energy of the bcc lattice has been subtracted off' from the DMC energies, i.e. the energies as printed contain the Madelung term. Indirect check: ferromagnetic bcc crystal at rs=90, N=27 has E = -0.0084925 Ha/el. (Table I), close to the bcc Madelung lattice energy -0.89593/rs = -0.009955 plus the ze",
        "secondary_of": null
      }
    },
    {
      "energy": -0.49255616,
      "sigma": 0.00000576,
      "energy_variance": null,
      "dof": 64,
      "einf": null,
      "v_score": null,
      "method": "Fixed-node DMC",
      "method_detail": "Gaussian exponent C = 0.00011 [Eq. (7)]; VMC variance (Ha^2) in the same row: 0.00000252",
      "method_as_published": "SJB-DMC [Gaussian exponent C = 0.00011 [Eq. (7)]; VMC variance (Ha^2) in the same row: 0.00000252] (arXiv:2201.08743)",
      "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": "Sam Azadi and N. D. Drummond, Low-density Phase Diagram of the Three-Dimensional Electron Gas, Phys. Rev. B 105, 245135, arXiv:2201.08743, doi:10.1103/PhysRevB.105.245135",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-19",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-19",
        "method": "source text of arXiv:2201.08743 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": "−0.00769619(9)",
        "note": "Table II, SJB, C=0.00011 [Eq. (7)], column DMC energy; sources/2201.08743.txt line 309; printed in Ha per electron; version read: arXiv text in sources/; journal copy not read | The text names the Ewald interaction ('the interaction ... is of Ewald form', txt line ~287, 'the use of the Ewald interaction rather than 1/r', line ~173) but never the Madelung term. The paper prints no Hartree-Fock energy, so no HF check is possible. Fig. 15 caption (txt line 711): 'The Madelung energy of the bcc lattice has been subtracted off' from the DMC energies, i.e. the energies as printed contain the Madelung term. Indirect check: ferromagnetic bcc crystal at rs=90, N=27 has E = -0.0084925 Ha/el. (Table I), close to the bcc Madelung lattice energy -0.89593/rs = -0.009955 plus the ze",
        "secondary_of": null
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    {
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      "sigma": 0.0000128,
      "energy_variance": null,
      "dof": 64,
      "einf": null,
      "v_score": null,
      "method": "Slater-Jastrow-backflow",
      "method_detail": "Gaussian exponent C = 0.0001503 (opt.); VMC variance (Ha^2) in the same row: 0.00000201",
      "method_as_published": "SJB-VMC [Gaussian exponent C = 0.0001503 (opt.); VMC variance (Ha^2) in the same row: 0.00000201] (arXiv:2201.08743)",
      "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": "Sam Azadi and N. D. Drummond, Low-density Phase Diagram of the Three-Dimensional Electron Gas, Phys. Rev. B 105, 245135, arXiv:2201.08743, doi:10.1103/PhysRevB.105.245135",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-19",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-19",
        "method": "source text of arXiv:2201.08743 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": "−0.0076803(2)",
        "note": "Table II, SJB, C=0.0001503 (opt.), column VMC energy; sources/2201.08743.txt line 310; printed in Ha per electron; version read: arXiv text in sources/; journal copy not read | The text names the Ewald interaction ('the interaction ... is of Ewald form', txt line ~287, 'the use of the Ewald interaction rather than 1/r', line ~173) but never the Madelung term. The paper prints no Hartree-Fock energy, so no HF check is possible. Fig. 15 caption (txt line 711): 'The Madelung energy of the bcc lattice has been subtracted off' from the DMC energies, i.e. the energies as printed contain the Madelung term. Indirect check: ferromagnetic bcc crystal at rs=90, N=27 has E = -0.0084925 Ha/el. (Table I), close to the bcc Madelung lattice energy -0.89593/rs = -0.009955 plus the ze",
        "secondary_of": null
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    {
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      "energy_variance": null,
      "dof": 64,
      "einf": null,
      "v_score": null,
      "method": "Fixed-node DMC",
      "method_detail": "Gaussian exponent C = 0.0001503 (opt.); VMC variance (Ha^2) in the same row: 0.00000201",
      "method_as_published": "SJB-DMC [Gaussian exponent C = 0.0001503 (opt.); VMC variance (Ha^2) in the same row: 0.00000201] (arXiv:2201.08743)",
      "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": "Sam Azadi and N. D. Drummond, Low-density Phase Diagram of the Three-Dimensional Electron Gas, Phys. Rev. B 105, 245135, arXiv:2201.08743, doi:10.1103/PhysRevB.105.245135",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-10-19",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-10-19",
        "method": "source text of arXiv:2201.08743 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": "−0.0076960(1)",
        "note": "Table II, SJB, C=0.0001503 (opt.), column DMC energy; sources/2201.08743.txt line 310; printed in Ha per electron; version read: arXiv text in sources/; journal copy not read | The text names the Ewald interaction ('the interaction ... is of Ewald form', txt line ~287, 'the use of the Ewald interaction rather than 1/r', line ~173) but never the Madelung term. The paper prints no Hartree-Fock energy, so no HF check is possible. Fig. 15 caption (txt line 711): 'The Madelung energy of the bcc lattice has been subtracted off' from the DMC energies, i.e. the energies as printed contain the Madelung term. Indirect check: ferromagnetic bcc crystal at rs=90, N=27 has E = -0.0084925 Ha/el. (Table I), close to the bcc Madelung lattice energy -0.89593/rs = -0.009955 plus the ze",
        "secondary_of": null
      }
    }
  ],
  "url": "https://qmbl.org/i/HEG3D/bcc_64_P_64_0_100/",
  "per_site_divisor": 64,
  "per_site_label": "E/N (Ha)",
  "record": {
    "energy": -0.49255616,
    "sigma": 0.00000576,
    "method": "Fixed-node DMC",
    "method_detail": "Gaussian exponent C = 0.00011 [Eq. (7)]; VMC variance (Ha^2) in the same row: 0.00000252",
    "reference": "Sam Azadi and N. D. Drummond, Low-density Phase Diagram of the Three-Dimensional Electron Gas, Phys. Rev. B 105, 245135, arXiv:2201.08743, doi:10.1103/PhysRevB.105.245135",
    "bound_type": "projected",
    "energy_per_site": -0.00769619
  },
  "no_record_reason": null
}