QMBLthe quantum many-body leaderboard

All instances / Heisenberg

Heisenberg shuriken, 24 sites

Heisenberg/shuriken_24_P

No record

solved exactly (rules §6). Every row is still listed below.

The Hamiltonian

H = ∑⟨ij⟩ σi·σj

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

lattice
shuriken
sites
24
boundary
periodic
energies
1

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).

Every published energy

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

Numerically exact (1)

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)σVar(E)V-score methodsourceyear
-0.4483290 0.0e+0 0.00e+0 0.0e+0 Exact diagonalization Astrakhantsev et al. (2021) 2021

Coverage

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

This instance as data

JSON · source file on GitHub · open an issue about this instance