A_d at half filling (δ = 0, Ne = 36) looks much larger than the 4×4 references

#56
by Yuseon84 - opened

A small observation about one entry of scoring_meta.json, in case it is useful.

The published A_d at δ = 0 is 0.0384, about two-thirds of the dome maximum (0.0585). The references we know of
point to a much smaller value at half filling (U/t = 8):

source lattice P_d at n = 1
ED, validation/comparison_4x4_ED_vs_VMC.md (Ku-ku) 4×4, R = (2,2) 0.0062
organizer VMC, same file (dwave=0.15) 4×4, R = (2,2) 0.0008
U = 0 (exact) any 0
our VMC with a Néel-field ansatz (energy within 5 % of ED on 4×4, where it gives 0.0075) 6×6, R = (3,3) 0.0049 ± 0.0007

So the 6×6 entry is at least about 5× larger than any of these.

Why it may matter: 101 of the current active materials sit at δ = 0 and all use this single value
(three of them are in the top 50, e.g. Co₂Se₂ and Ni₂Se₂). The leaders are not affected.

Could you check the δ = 0 point of the reference solver, for example whether the antiferromagnetic
correlations are captured at half filling? One of our own proposals sits at δ = 0 (Ni₂Se₂ from #14), so a lower value
would lower it too.

Disclosure: prepared with AI assistance (Claude Code); I am not a many-body specialist. Scripts and
outputs for the numbers above are available on request.

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