What was already known
Triangular order is favored in the rigid point-dipole baseline; reconstruction by mobile-electron energy remained unresolved.
AI involvement
Human researchers designed the model and comparisons; optimized neural wavefunctions supplied the correlated electronic energies and densities.
Optimized neural wavefunctions supply the retained correlated states, energies and densities; humans choose the physical model and comparisons.
Importance
A scoped many-body phase prediction links lattice reconstruction to kinetic and interlayer-attraction gains overcoming Coulomb penalties.
Limitations
Born–Oppenheimer model with fixed heavy holes; N=36 calculations and N=48 boundary checks retain finite-size, stochastic and variational uncertainty. Compared candidate lattices do not exhaust every phase. This is neither an exact proof nor experimental confirmation.
Technical verification
Only the stated computational, numerical, conditional or component checks are documented for this scope; the full claimed endpoint has not received a documented complete rigorous check in the reviewed evidence. Born–Oppenheimer model with fixed heavy holes; N=36 calculations and N=48 boundary checks retain finite-size, stochastic and variational uncertainty. Compared candidate lattices do not exhaust every phase. This is neither an exact proof nor experimental confirmation.
Human understanding
Named human researchers explain or reconstruct the scoped central mechanism in the cited paper/account; credit for that explanation is separate from technical checking. Human researchers designed the model and comparisons; optimized neural wavefunctions supplied the correlated electronic energies and densities.
Correction and publication history
Primary-source statement, baseline, AI role and limitations reviewed on 14 October 2026. Complete current catalog checked for equivalent records. New recent paper; ordinary notifying publication.
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