All instances / J1-J2
J1-J2 square 10x10, J2 = 0.1
No record
—
sampled rows carry no error bar (rules §6).
Every row is still listed below.
The Hamiltonian
H = ∑⟨ij⟩ σi·σj + J2 ∑⟨⟨ij⟩⟩ σi·σj
J1 = 1, J2 = 0.1, nearest and next-nearest neighbours, written with Pauli matrices.
- lattice
- square
- sites
- 100
- boundary
- periodic
- J2
- 0.1
- energies
- 1
Stored as a total energy in the convention of
VarBench; 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. Ranking happens only inside the first group.
Strict variational upper bounds (1)
Where the instance is not solved, the record is the lowest eligible energy in this group; where it is, the lowest eligible energy here is the best variational bound and the closest challenger to the exact one.
How these numbers were read
Rows added after the VarBench import record where the number came from.
-0.6313650 — ViT
Checked 2026-09-28 · source text of arXiv:2606.04558 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. -0.631365
Table I, row J2=0.10, column '10×10, ViT (this work)' | Table I prints energy per site in S.S units: its J2 = 0 QMC column equals Sandvik's exact values on Heisenberg/square_64_P and square_100_P.
Coverage
Newest published number here: 2026. 1 row added from the 2026-09 literature sweep, on top of the VarBench snapshot of 2024-10-22.