Heisenberg honeycomb 7x7 (98 sites)

Best values (rules §6)

best variational	-0.5421(4)	VMC (LCN) Fu et al. (2022) · the lowest unflagged variational energy, a strict variational bound

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

The Hamiltonian

H = ∑_⟨ij⟩ σ_i·σ_j

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

lattice: honeycomb-7x7
sites: 98
boundary: periodic
energies: 1

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 (1)

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 best	σ	Var(E)	V-score	method	source	code	year	comment
-0.5421best variational	0	4.0e-4	n/a	n/a	VMC (LCN) peer reviewed	Fu et al. (2022)		2022

How these numbers were read

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

-0.5421(4), VMC (LCN)

Checked 2026-10-20 · source text of arXiv:2206.07370 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. -0.5421(4)

Table 1, Honeycomb N = 98, J2 = 0, column LCN; version read: arXiv text (sources/2206.07370.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Same Hamiltonian, lattices and references as arXiv:2110.06390 (Sec. 'Lattice': 'Following Kochkov et al. [27]'); Table 1 'energy per site'.

Coverage

Newest published number here: 2022.

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