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Hubbard square, 50 sites, U = 8, n = 0.84

Hubbard/square_50_P_21_8

Record

-0.82328(3) E/site

VAFQMC

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 = 8, N = N = 21 on 50 sites.

lattice
square
sites
50
boundary
periodic
Nf
21
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.

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
-0.82328(3)record 3.2e-5 3.00e-1 1.0e-3 VAFQMC Sorella (2023) 2023

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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