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Shastry-Sutherland square 14x14, J = 0.8, Jd = 1

Best values (rules §6)

best variational -0.448929 VMC (Transformer)
10.1103/PhysRevB.111.134411, · the lowest unflagged variational energy, a strict variational bound
best extrapolated -0.4492 VMC (Transformer)
10.1103/PhysRevB.111.134411, · the lowest unflagged extrapolated energy, an extrapolation, not a bound

Energies as E/N (S.S). Classes are different claims and are not ranked against each other.

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
196
boundary
periodic
J
0.8
Jd
1
energies
4

Stored as a total energy; quoted here as E/N (S.S), which is what the papers report (how the conversion works).

Every published energy

Grouped by what the number is. The exact energy comes first where there is one; in every other group the lowest unflagged energy is its best value, and each row's distance is to that best (rules §6).

Strict variational upper bounds (3)

Energies that a variational state reached (VMC, DMRG and MPS at finite bond dimension, PEPS, NQS, VQE). Each is an upper bound on the ground-state energy.

E/N (S.S)distance to class bestσVar(E)V-score methodsourcecodeyearcomment
-0.448929best variational 0 n/a n/a n/a VMC (Transformer)
peer reviewed
10.1103/PhysRevB.111.134411, 2025
-0.448812 1.2e-4 n/a n/a n/a VMC (Transformer)
peer reviewed
10.1103/PhysRevB.111.134411, 2025
-0.448551 3.8e-4 n/a n/a n/a VMC (Transformer)
peer reviewed
10.1103/PhysRevB.111.134411, 2025

Extrapolations (1)

Zero-variance or bond-dimension extrapolations. These are not bounds: no ansatz reached the number.

E/N (S.S)distance to class bestσVar(E)V-score methodsourcecodeyearcomment
-0.4492best extrapolated 0 n/a n/a n/a VMC (Transformer)
peer reviewed
10.1103/PhysRevB.111.134411, 2025

How these numbers were read

Where each number below was read, and how it was checked.

-0.4492, 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. -0.44920

Table I, L = 14, 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).

-0.448929, 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. -0.448929

Table I, L = 14, 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).

-0.448812, 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. -0.448812

Table I, L = 14, 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).

-0.448551, 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. -0.448551

Table I, L = 14, 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).

Coverage

Newest published number here: 2025.

This instance as data

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