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All instances / Spinless t-V

Spinless t-V square 6x6, V = 1, n ≈ 0.3611

tV/square_36_P_13_1

Record

-0.6132263 E/site

DMRG (maxbonddim = 4096)

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

The Hamiltonian

H = −t ∑⟨ij⟩ (cicj + h.c.) + V ∑⟨ij⟩ ninj

Spinless fermions, t = 1, V = 1, 13 particles on 36 sites.

lattice
square
sites
36
boundary
periodic
Nf
13
V
1
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 (3)

The record is the lowest eligible energy in this group, and only this group.

E/siteσVar(E)V-score methodsourceyear
-0.6132263record n/a 1.80e-2 2.4e-4 DMRG (maxbonddim = 4096)
VarBench reference run
run script, no paper cited n/a
-0.613193(7) 6.6e-6 1.78e-2 2.4e-4 VMC Determinant Slater-Backflow-Jastrow (RBM) Ansatz with K=0 projections (symmetric wrt translations) Romero et al. (2024) 2024
-0.6116(1) 1.0e-4 5.43e-1 7.4e-3 VMC Determinant Slater-Jastrow (RBM) Ansatz with K=0 projections (symmetric wrt translations) Romero et al. (2024) 2024

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
-0.6132603 n/a n/a n/a Exact diagonalization
VarBench reference run
run script, no paper cited n/a

Coverage

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

This instance as data

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