All instances / Heisenberg
Heisenberg shuriken, 384 sites
Best values
(rules §6)
| best variational |
-0.4371(1) |
VMC (PP)Wu et al. (2024) · 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⟩ σi·σj
Nearest-neighbour Heisenberg antiferromagnet, J = 1, written with Pauli matrices.
- lattice
- shuriken
- sites
- 384
- 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.
Coverage
Newest published number here: 2024. Literature last checked 2026-09-15 (citation screen of Astrakhantsev et al. 2021 (PRB 104, L220408, shuriken): citing works from OpenAlex and Semantic Scholar (scripts/cited_by.mjs)): 8 papers read, 0 of them with an energy on this page.