Heisenberg triangular 12x12, open

Heisenberg/triangular_144_O

Record

-0.5150648 E/N (S.S)

DMRG (Bond dimension = 3000)

run script, no paper cited · lowest eligible strict variational bound (rules §6)

The Hamiltonian

H = ∑_⟨ij⟩ σ_i·σ_j

Nearest-neighbour Heisenberg antiferromagnet, J = 1, written with Pauli matrices.

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).

Grouped by what the number is. Ranking happens only inside the first group.

The record is the lowest eligible energy in this group, and only this group.

E/N (S.S)	σ	Var(E)	V-score	method	source	year
-0.5150648record	n/a	3.75e+1	6.1e-2	DMRG (Bond dimension = 3000) VarBench reference run	run script, no paper cited	n/a
-0.5120(1)	1.0e-4	3.78e+1	6.3e-2	2D Gated RNN	Hibat-Allah et al. (2022)	2022
-0.5114972	n/a	5.63e+1	9.3e-2	DMRG (bond dimension = 1024) VarBench reference run	run script, no paper cited	n/a
-0.48352(2)	1.6e-5	8.97e+1	1.7e-1	RBM (alpha = 1) VarBench reference run	run script, no paper cited	n/a
-0.47597(2)	1.9e-5	1.27e+2	2.4e-1	Jastrow baseline VarBench reference run	run script, no paper cited	n/a

Newest published number here: 2022. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.