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Hubbard square 16x16, periodic/antiperiodic, U = 8, n ≈ 0.8359

Hubbard/square_256_PA_107_8

Record

-0.82333(3) E/site

VAFQMC stripe length 8 APBC along the stripe

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 = 107 on 256 sites.

lattice
square
sites
256
boundary
periodic/antiperiodic
Nf
107
U
8
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
-0.82333(3)record 3.0e-5 1.57e+0 1.0e-3 VAFQMC stripe length 8 APBC along the stripe Sorella (2023) 2023
-0.79875(7) 6.8e-5 4.97e+1 3.4e-2 mVMC with SU(2) and momentum projections (gamma point) + RBM + Lanczos, (U=8), alpha = 1
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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