All instances / Hubbard
Hubbard square 16x16, U = 8, n ≈ 0.8438
Hubbard/square_256_P_108_8
Record
-0.81198(6)
E/site
VAFQMC stripe length=8
Sorella (2023) · 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↓ = 108 on 256 sites.
- lattice
- square
- sites
- 256
- boundary
- periodic
- Nf
- 108
- 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
Newest published number here: 2023. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.