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Hubbard chain, 14 sites, U = 3.59381366, n ≈ 0.5714

Hubbard/chain_14_P_4_3.59381366

Record

-0.8043230 E/site

DMRG (MaxBondDim ~1500)

run script, no paper cited · lowest eligible strict variational bound (rules §6)

The Hamiltonian

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

t = 1, U = 3.59381366, N = N = 4 on 14 sites.

lattice
chain
sites
14
boundary
periodic
Nf
4
U
3.59381366
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.

E/siteσVar(E)V-score methodsourceyear
-0.8043230record n/a 1.50e-12 5.1e-14 DMRG (MaxBondDim ~1500)
VarBench reference run
run script, no paper cited n/a

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
-0.8043230 n/a n/a n/a Exact diagonalization
VarBench reference run
run script, no paper cited n/a

Coverage

No row here carries a publication year. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.

This instance as data

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