All instances / Hubbard
Hubbard rectangular 4x8, periodic/open, U = 8, n = 0.875
Hubbard/rectangular-4x8_32_PO_14_8
Record
-0.7363906
E/site
DMRG (MaxLinkDim = 12000, MaxTruncErr~6.6E-06, extrap energy -23.5658 +/- 0.0003)
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↓ = 14 on 32 sites.
- lattice
- rectangular-4x8
- sites
- 32
- boundary
- periodic/open
- Nf
- 14
- U
- 8
- energies
- 4
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 (4)
The record is the lowest eligible energy in this group, and only this group.
How these numbers were read
Rows added after the VarBench import record where the number came from.
-0.73342(8) — Hidden-fermion determinant state (HFDS), 8x4 cylinder
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.73342 (+/- 0.00008), sigma^2/M = 0.0225
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Row "HFDS (8x4)".
-0.7332(6) — Jastrow-backflow (JBf), 8x4 cylinder
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.7332 (+/- 0.0006), sigma^2/M = 0.0235
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Row "JBf (8x4)".
Coverage
Newest published number here: 2025. 2 rows added from the 2026-09 literature sweep, on top of the VarBench snapshot of 2024-10-22.