Heisenberg triangular 12x12

Heisenberg/triangular_144_P

Record

-0.54624(2) E/N (S.S)

VMC with Dirac+field+Jastrow

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
-0.54624(2)record	2.3e-5	4.33e+1	6.3e-2	VMC with Dirac+field+Jastrow VarBench reference run	run script, no paper cited	n/a
-0.5199011	n/a	1.01e+2	1.1e-1	DMRG (bond dimension = 512) flagged: dof-mismatch VarBench reference run	run script, no paper cited	n/a
-0.48966(2)	2.3e-5	1.68e+2	3.0e-1	RBM (alpha = 1) VarBench reference run	run script, no paper cited	n/a
-0.48552(2)	2.1e-5	1.55e+2	2.8e-1	Jastrow baseline VarBench reference run	run script, no paper cited	n/a

A flag withholds the record and nothing else: the row stays listed, in rank order. Rules §10 is how a flag is lifted or upheld.

dof-mismatch — DMRG (bond dimension = 512), -0.5199011

Finding. Row stores dof = 100 on a 144-site instance. Same typo.

No row here carries a publication year. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.