Heisenberg pyrochlore 2x2x2 (32 sites)

Heisenberg/pyrochlore-2x2x2_32_P

Record

-0.51627(2) E/N (S.S)

mVMC with SU(2) and symmetry projections

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
-0.51627(2)record	2.3e-5	4.36e+0	3.2e-2	mVMC with SU(2) and symmetry projections	Astrakhantsev et al. (2021)	2021
-0.51523(2)	2.3e-5	6.08e+0	4.5e-2	RBM with symmetry projections	Astrakhantsev et al. (2021)	2021

Exact diagonalization, an exact solution, or sign-problem-free QMC where that is established: the answer, not a claim about it.

E/N (S.S)	σ	Var(E)	V-score	method	source	year
-0.5168078	0.0e+0	0.00e+0	0.0e+0	Exact diagonalization	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.