{
  "model": "J1J2",
  "lattice": "square",
  "n_sites": 100,
  "boundary": "P",
  "params": {
    "J2": 0.55
  },
  "instance_id": "J1J2/square_100_P_0.55",
  "rows": [
    {
      "energy": -193.956,
      "sigma": null,
      "energy_variance": null,
      "dof": 100,
      "einf": 0,
      "v_score": null,
      "method": "DMRG on the L x L torus, 4096 SU(2) states",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Gong, Zhu, Sheng, Motrunich & Fisher, Plaquette ordered phase and quantum phase diagram in the spin-1/2 J1-J2 square Heisenberg model, Phys. Rev. Lett. 113, 027201 (2014), arXiv:1311.5962",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-09-15",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-09-15",
        "method": "source text of arXiv:1311.5962 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table",
        "reported_as": "-0.484890",
        "note": "Table I of arXiv:1311.5962 (pypdf layout text, line 658), J2 = 0.55, L = 10, column 1 of 8 | E/J1 per site in S.S units on the L x L periodic torus (caption)",
        "secondary_of": null
      }
    },
    {
      "energy": -194.0956,
      "sigma": null,
      "energy_variance": null,
      "dof": 100,
      "einf": 0,
      "v_score": null,
      "method": "DMRG on the L x L torus, 6144 SU(2) states",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Gong, Zhu, Sheng, Motrunich & Fisher, Plaquette ordered phase and quantum phase diagram in the spin-1/2 J1-J2 square Heisenberg model, Phys. Rev. Lett. 113, 027201 (2014), arXiv:1311.5962",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-09-15",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-09-15",
        "method": "source text of arXiv:1311.5962 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table",
        "reported_as": "-0.485239",
        "note": "Table I of arXiv:1311.5962 (pypdf layout text, line 658), J2 = 0.55, L = 10, column 2 of 8 | E/J1 per site in S.S units on the L x L periodic torus (caption)",
        "secondary_of": null
      }
    },
    {
      "energy": -194.1736,
      "sigma": null,
      "energy_variance": null,
      "dof": 100,
      "einf": 0,
      "v_score": null,
      "method": "DMRG on the L x L torus, 8192 SU(2) states",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Gong, Zhu, Sheng, Motrunich & Fisher, Plaquette ordered phase and quantum phase diagram in the spin-1/2 J1-J2 square Heisenberg model, Phys. Rev. Lett. 113, 027201 (2014), arXiv:1311.5962",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-09-15",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-09-15",
        "method": "source text of arXiv:1311.5962 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table",
        "reported_as": "-0.485434",
        "note": "Table I of arXiv:1311.5962 (pypdf layout text, line 658), J2 = 0.55, L = 10, column 3 of 8 | E/J1 per site in S.S units on the L x L periodic torus (caption)",
        "secondary_of": null
      }
    },
    {
      "energy": -195.2,
      "sigma": null,
      "energy_variance": null,
      "dof": 100,
      "einf": 0,
      "v_score": null,
      "method": "DMRG, extrapolated in the truncation error (4096-8192 SU(2) states)",
      "bound_type": "extrapolated",
      "bound_type_reason": "zero-variance or bond-dimension extrapolation; not an upper bound (assigned during source reading)",
      "reference": "Gong, Zhu, Sheng, Motrunich & Fisher, Plaquette ordered phase and quantum phase diagram in the spin-1/2 J1-J2 square Heisenberg model, Phys. Rev. Lett. 113, 027201 (2014), arXiv:1311.5962",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-09-15",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-09-15",
        "method": "source text of arXiv:1311.5962 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table",
        "reported_as": "-0.4880",
        "note": "Table I of arXiv:1311.5962 (pypdf layout text, line 658), J2 = 0.55, L = 10, column 4 of 8 | E/J1 per site in S.S units on the L x L periodic torus (caption)",
        "secondary_of": null
      }
    },
    {
      "energy": -193.34,
      "sigma": 0.004,
      "energy_variance": null,
      "dof": 100,
      "einf": 0,
      "v_score": null,
      "method": "VMC, p = 0 Lanczos steps",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Hu, Becca, Parola & Sorella, Direct evidence for a gapless Z2 spin liquid by frustrating Neel antiferromagnetism, Phys. Rev. B 88, 060402 (2013), arXiv:1304.2630",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-09-15",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-09-15",
        "method": "source text of arXiv:1304.2630 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table",
        "reported_as": "-0.48335(1)",
        "note": "TABLE I of arXiv:1304.2630 (pypdf layout text, line 326), L = 10, S = 0, J2/J1 = 0.55 | E/J1 per site in S.S units on the L x L periodic torus; the S = 0 row is the ground state",
        "secondary_of": null
      }
    },
    {
      "energy": -194.488,
      "sigma": 0.004,
      "energy_variance": null,
      "dof": 100,
      "einf": 0,
      "v_score": null,
      "method": "VMC + 1 Lanczos step",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Hu, Becca, Parola & Sorella, Direct evidence for a gapless Z2 spin liquid by frustrating Neel antiferromagnetism, Phys. Rev. B 88, 060402 (2013), arXiv:1304.2630",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-09-15",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-09-15",
        "method": "source text of arXiv:1304.2630 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table",
        "reported_as": "-0.48622(1)",
        "note": "TABLE II of arXiv:1304.2630 (pypdf layout text, line 348), L = 10, S = 0, J2/J1 = 0.55 | E/J1 per site in S.S units on the L x L periodic torus; the S = 0 row is the ground state",
        "secondary_of": null
      }
    },
    {
      "energy": -194.772,
      "sigma": 0.012,
      "energy_variance": null,
      "dof": 100,
      "einf": 0,
      "v_score": null,
      "method": "VMC + 2 Lanczos steps",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Hu, Becca, Parola & Sorella, Direct evidence for a gapless Z2 spin liquid by frustrating Neel antiferromagnetism, Phys. Rev. B 88, 060402 (2013), arXiv:1304.2630",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-09-15",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-09-15",
        "method": "source text of arXiv:1304.2630 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table",
        "reported_as": "-0.48693(3)",
        "note": "TABLE III of arXiv:1304.2630 (pypdf layout text, line 370), L = 10, S = 0, J2/J1 = 0.55 | E/J1 per site in S.S units on the L x L periodic torus; the S = 0 row is the ground state",
        "secondary_of": null
      }
    },
    {
      "energy": -195.064,
      "sigma": 0.024,
      "energy_variance": null,
      "dof": 100,
      "einf": 0,
      "v_score": null,
      "method": "VMC + Lanczos steps, extrapolated in the variance",
      "bound_type": "extrapolated",
      "bound_type_reason": "zero-variance or bond-dimension extrapolation; not an upper bound (assigned during source reading)",
      "reference": "Hu, Becca, Parola & Sorella, Direct evidence for a gapless Z2 spin liquid by frustrating Neel antiferromagnetism, Phys. Rev. B 88, 060402 (2013), arXiv:1304.2630",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-09-15",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-09-15",
        "method": "source text of arXiv:1304.2630 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table",
        "reported_as": "-0.48766(6)",
        "note": "TABLE IV of arXiv:1304.2630 (pypdf layout text, line 390), L = 10, S = 0, J2/J1 = 0.55 | E/J1 per site in S.S units on the L x L periodic torus; the S = 0 row is the ground state",
        "secondary_of": null
      }
    },
    {
      "energy": -194.7088,
      "sigma": 0.0044,
      "energy_variance": null,
      "dof": 100,
      "einf": 0,
      "v_score": null,
      "method": "GCNN (deep group-convolutional network)",
      "bound_type": "variational",
      "bound_type_reason": "variational ansatz at a stated size; energy is an upper bound (assigned during source reading)",
      "reference": "Roth, Szabo & MacDonald, High-accuracy variational Monte Carlo for frustrated magnets with deep neural networks, Phys. Rev. B 108, 054410 (2023), arXiv:2211.07749",
      "peer_reviewed": true,
      "source": "sweep-allresults-2026-09-15",
      "provenance": "primary",
      "verified": {
        "checked_on": "2026-09-15",
        "method": "source text of arXiv:2211.07749 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table",
        "reported_as": "-0.486772(11)",
        "note": "Table I of arXiv:2211.07749 (pypdf layout text, line 188), J2/J1 = 0.55, 10x10, Our work | E/J1 per site in S.S units on the L x L periodic torus (caption: units of J1/spin)",
        "secondary_of": null
      }
    }
  ],
  "url": "https://qmbl.org/i/J1J2/square_100_P_0.55/",
  "per_site_divisor": 400,
  "per_site_label": "E/N (S.S)",
  "record": {
    "energy": -194.772,
    "sigma": 0.012,
    "method": "VMC + 2 Lanczos steps",
    "reference": "Hu, Becca, Parola & Sorella, Direct evidence for a gapless Z2 spin liquid by frustrating Neel antiferromagnetism, Phys. Rev. B 88, 060402 (2013), arXiv:1304.2630",
    "bound_type": "variational",
    "energy_per_site": -0.48693
  },
  "no_record_reason": null
}