Heisenberg shuriken, 216 sites

Heisenberg/shuriken_216_P

Record

-0.4376(1) E/N (S.S)

mVMC with SU(2) and point group projection

Astrakhantsev et al. (2021) · 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
-0.4376(1)record	1.0e-4	1.75e+1	2.6e-2	mVMC with SU(2) and point group projection	Astrakhantsev et al. (2021)	2021

Newest published number here: 2021. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.