All instances / J1-J2
J1-J2 square 8x8, J2 = 0.48
No record
—
no variational row (rules §6).
Every row is still listed below.
The Hamiltonian
H = ∑⟨ij⟩ σi·σj + J2 ∑⟨⟨ij⟩⟩ σi·σj
J1 = 1, J2 = 0.48, nearest and next-nearest neighbours, written with Pauli matrices.
- lattice
- square
- sites
- 64
- boundary
- periodic
- J2
- 0.48
- 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.
How these numbers were read
Rows added after the VarBench import record where the number came from.
-0.5034(4) — TPS (extrapolated: χ → ∞ (contraction dimension Dc, linear...
Checked 2026-10-07 · source text of arXiv:1112.3331 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. -0.5034(4)
Table I, row J2 = 0.48, column L=8 | Energy per site in S.S units; the table's own L = 4 and L = 6 ED columns equal QMBL's exact rows. The finite-size values are extrapolated linearly in 1/Dc^2 (text), so they are not upper bounds.
Coverage
Newest published number here: 2016. 1 row added from the 2026-09 literature sweep, on top of the VarBench snapshot of 2024-10-22.