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Hubbard square 16x16, U = 6, n = 0.875

Hubbard/square_256_P_112_6

Record

-0.86592(2) E/site

VAFQMC stripe length=8

Sorella (2023) · lowest eligible strict variational bound (rules §6)

The Hamiltonian

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

t = 1, U = 6, N = N = 112 on 256 sites.

lattice
square
sites
256
boundary
periodic
Nf
112
U
6
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 (2)

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

E/siteσVar(E)V-score methodsourceyear
-0.86592(2)record 2.2e-5 6.70e-1 5.6e-4 VAFQMC stripe length=8 Sorella (2023) 2023
-0.85627(3) 2.7e-5 1.19e+1 1.0e-2 VMC stripe length=8 (+Jastrow and backflow)
VarBench reference run
run script, no paper cited n/a

Coverage

Newest published number here: 2023. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.

This instance as data

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