All instances / Hubbard
Hubbard chain, 14 sites, U = 1, n ≈ 0.5714
Hubbard/chain_14_P_4_1
Record
-0.9116293
E/site
DMRG (MaxBondDim = 1550, Extrap Energy = -12.762823 +/- 2.e-6)
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 = 1, N↑ = N↓ = 4 on 14 sites.
- lattice
- chain
- sites
- 14
- boundary
- periodic
- Nf
- 4
- U
- 1
- energies
- 2
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.
Numerically exact (1)
Exact diagonalization, an exact solution, or sign-problem-free QMC where that is established: the answer, not a claim about it.
Coverage
No row here carries a publication year. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.