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Heisenberg pyrochlore 3x3x3 (432 sites)

Heisenberg/pyrochlore-3x3x3_432_P

Record

-0.48847(3) E/N (S.S)

mVMC (PP + 1st step Lanczos, spin-parity projection, C3 point-group projection)

Pohle et al. (2023) · lowest eligible strict variational bound (rules §6)

The Hamiltonian

H = ∑⟨ij⟩ σi·σj

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

lattice
pyrochlore-3x3x3
sites
432
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.

Strict variational upper bounds (1)

The record is the lowest eligible energy in this group, and only this group.

E/N (S.S)σVar(E)V-score methodsourceyear
-0.48847(3)record 2.6e-5 6.08e+1 3.7e-2 mVMC (PP + 1st step Lanczos, spin-parity projection, C3 point-group projection) Pohle et al. (2023) 2023

Coverage

Newest published number here: 2023. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.

This instance as data

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