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Hubbard square 8x8, U = -8, n ≈ 0.7813

Hubbard/square_64_P_25_-8

No record

solved exactly (rules §6). Every row is still listed below.

The Hamiltonian

H = −t ∑⟨ij⟩,σ (cc + h.c.) + U ∑i ni↑ni↓

t = 1, U = -8, N = N = 25 on 64 sites.

lattice
square
sites
64
boundary
periodic
Nf
25
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.

Numerically exact (1)

Exact diagonalization, an exact solution, or sign-problem-free QMC where that is established: the answer, not a claim about it.

E/siteσVar(E)V-score methodsourceyear
-3.6258(1) 1.1e-4 n/a n/a AFQMC (Metropolis, Trotter error extrapolated), numerically exact Shi et al. (2015) 2015

Coverage

Newest published number here: 2015. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.

This instance as data

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