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Spectral weight redistribution in twisted moiré bilayers can mimic bulk gap formation without generating genuine topological invariants, revealing why standard electronic-structure diagnostics fail without Bellissard's noncommutative algebraic machinery.
Machine-learned exchange-correlation functionals can now scale directly to condensed-phase matter in CP2K, matching diffusion Monte Carlo lattice energy accuracy across 13 ice phases while rivaling hybrid functionals in band-gap prediction.
