The Hamiltonian
H = J ∑⟨ij⟩ σi·σj + Jd ∑dimers σi·σj
Shastry-Sutherland lattice: a square lattice of bonds J with one diagonal bond Jd in every second plaquette, the orthogonal dimers. J = 0.8, Jd = 1, the couplings of the spin-1/2 form with S = σ/2, normalised to Jd = 1 (RULES.md 2.1); written here with Pauli matrices, so E/N in S units is E/(4N).
- lattice
- square
- sites
- 36
- boundary
- periodic
- J
- 0.8
- Jd
- 1
- energies
- 8
Stored as a total energy; quoted here as
E/N (S.S), which is what the papers report
(how the conversion works).
How these numbers were read
Where each number below was read, and how it was checked.
-0.4517531, ED
Checked 2026-10-20 · source text of arXiv:cond-mat/0605464 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-20)
Reported as. -0.451753105004501
Table II (6 x 6), x = 0.8; version read: arXiv text (sources/cond-mat-0605464.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J2 sum S.S (square bonds) + J1 sum S.S (diagonal dimer bonds), x = J2/J1, E0/N per site in units of J1 (the Fig. 1 caption swaps the labels; the tables fix them: E0/N = -0.375, the dimer-product energy, for all x below xc, and x = 0.8 equals the 6 x 6 ED of arXiv:2311.16889).
-0.4517531, ED
Checked 2026-10-20 · source text of arXiv:2311.16889 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-20)
Reported as. -0.4517531
Table I caption, 6 x 6 cluster; version read: arXiv text (sources/2311.16889.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); the source's own diagonalization (Fig. 5b: exact-diagonalization spin-spin correlations; Fig. 8: exact triplet energies of the 6 x 6 cluster), a row beside cond-mat/0605464's under RULES.md 6 (2026-10-24) | Eq. (1) H = J sum S.S (square bonds) + J' sum S.S (dimer bonds), spin-1/2, J/J' = 0.8, energies per site in units of J' (Table I caption).
-0.45175, VMC (Transformer)
Checked 2026-10-20 · source text of arXiv:2311.16889 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-20)
Reported as. -0.451750
Table I, L = 6, column Extrap.; the caption says the Monte Carlo error is on the last digit; version read: arXiv text (sources/2311.16889.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J sum S.S (square bonds) + J' sum S.S (dimer bonds), spin-1/2, J/J' = 0.8, energies per site in units of J' (Table I caption).
-0.451717(6), VMC (ConvNeXt)
Checked 2026-10-20 · source text of arXiv:2505.03466 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-20)
Reported as. -0.451717(6)
Fig. 5 caption, first of 'the respective final energies' (with patching; the text's relative errors 8.0e-5 and 2.7e-4 fix the order); version read: arXiv text (sources/2505.03466.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J1 sum S.S + J2 sum S.S with S = sigma/2, Table I '(J1 = 0.8, J2 = 1)', J2 on the dimer bonds (the text's 'J1 = 1, J2 = 0.8' is swapped: Table I's quoted ED -0.4517531 and fViT -0.449329 are arXiv:2311.16889's at J/J' = 0.8); E/N per site, L x L with periodic boundaries (Sec. II).
-0.4517072, VMC (Transformer)
Checked 2026-10-20 · source text of arXiv:2311.16889 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-20)
Reported as. -0.4517072
Table I, L = 6, column n_l = 8; the caption says the Monte Carlo error is on the last digit; version read: arXiv text (sources/2311.16889.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J sum S.S (square bonds) + J' sum S.S (dimer bonds), spin-1/2, J/J' = 0.8, energies per site in units of J' (Table I caption).
-0.4516991, VMC (Transformer)
Checked 2026-10-20 · source text of arXiv:2311.16889 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-20)
Reported as. -0.4516991
Table I, L = 6, column n_l = 4; the caption says the Monte Carlo error is on the last digit; version read: arXiv text (sources/2311.16889.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J sum S.S (square bonds) + J' sum S.S (dimer bonds), spin-1/2, J/J' = 0.8, energies per site in units of J' (Table I caption).
-0.4516642, VMC (Transformer)
Checked 2026-10-20 · source text of arXiv:2311.16889 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-20)
Reported as. -0.4516642
Table I, L = 6, column n_l = 2; the caption says the Monte Carlo error is on the last digit; version read: arXiv text (sources/2311.16889.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J sum S.S (square bonds) + J' sum S.S (dimer bonds), spin-1/2, J/J' = 0.8, energies per site in units of J' (Table I caption).
-0.451633(6), VMC (ConvNeXt)
Checked 2026-10-20 · source text of arXiv:2505.03466 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-20)
Reported as. -0.451633(6)
Fig. 5 caption, second of 'the respective final energies' (without patching); version read: arXiv text (sources/2505.03466.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J1 sum S.S + J2 sum S.S with S = sigma/2, Table I '(J1 = 0.8, J2 = 1)', J2 on the dimer bonds (the text's 'J1 = 1, J2 = 0.8' is swapped: Table I's quoted ED -0.4517531 and fViT -0.449329 are arXiv:2311.16889's at J/J' = 0.8); E/N per site, L x L with periodic boundaries (Sec. II).