+Hybrid density functional theory (DFT) fixes the notorious "band gap problem" of standard DFT by incorporating exact exchange, but at a daunting computational cost. We developed **DeepH-hybrid**, an equivariant neural network that learns the hybrid-functional Hamiltonian directly from material structure, bypassing costly self-consistent iterations. Trained on small structures, the model generalizes to large supercells — including **magic-angle twisted bilayer graphene** with over 11,000 atoms — making hybrid-DFT accuracy affordable for large-scale materials simulations for the first time.
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