All instances / Hubbard
Hubbard square 16x16, periodic/antiperiodic, U = 8, n ≈ 0.8359, t12
Hubbard/square_256_PA_107_8_t12
Record
-0.79937(4)
E/site
mVMC with SU(2) and momentum projections (gamma point) + RBM + Lanczos (Ncond = 214), alpha = 1, with 4x4 RBM subspace
run script, no paper cited · lowest eligible strict variational bound
(rules §6)
The Hamiltonian
H = −t ∑⟨ij⟩,σ (c†iσcjσ + h.c.) + U ∑i ni↑ni↓
t = 1, U = 8, N↑ = N↓ = 107 on 256 sites.
This instance is the t12 variant: it carries a second-neighbour hopping in addition to the above. Upstream does not document its value, so the variant is identified by name rather than written out.
- lattice
- square
- sites
- 256
- boundary
- periodic/antiperiodic
- Nf
- 107
- U
- 8
- energies
- 1
Stored as a total energy in the convention of
VarBench; quoted here as
E/site, 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.
Coverage
No row here carries a publication year. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.