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All instances / Spinless t-V

Spinless t-V square 8x8, V = 2, n = 0.5

tV/square_64_P_32_2

Record

-0.2911555 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 = 2, 32 particles on 64 sites.

lattice
square
sites
64
boundary
periodic
Nf
32
V
2
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
-0.2911555record n/a 7.67e-2 3.7e-4 DMRG (maxbonddim = 4096)
VarBench reference run
run script, no paper cited n/a

Not yet classified (1)

The method string does not say whether the energy is sign-problem-free or constrained, so no bound_type could be assigned without guessing.

E/siteσVar(E)V-score methodsourceyear
-0.2924000 n/a 9.32e-2 4.5e-4 QMC (continuous-time expansion) Wang et al. (2016) 2016

Coverage

Newest published number here: 2016. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.

This instance as data

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