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The authors introduce Skala, a deep learning-based exchange-correlation (XC) functional for Density Functional Theory (DFT). Skala achieves state-of-the-art accuracy on the GMTKN55 benchmark (2.8 kcal/mol error), surpassing hybrid functionals while maintaining the computational efficiency of semi-local DFT. This breaks the traditional accuracy-efficiency trade-off by learning non-local representations of electronic structure directly from data.
Deep learning finally cracks the DFT accuracy-efficiency trade-off, enabling highly accurate quantum chemistry calculations at semi-local DFT cost.
Density Functional Theory (DFT) underpins much of modern computational chemistry and materials science. Yet, the reliability of DFT-derived predictions of experimentally measurable properties remains fundamentally limited by the need to approximate the unknown exchange-correlation (XC) functional. The traditional paradigm for improving accuracy has relied on increasingly elaborate hand-crafted functional forms. This approach has led to a longstanding trade-off between computational efficiency and accuracy, which remains insufficient for reliable predictive modelling of laboratory experiments. Here we introduce Skala, a deep learning-based XC functional that surpasses state-of-the-art hybrid functionals in accuracy across the main-group chemistry benchmark set GMTKN55 with an error of 2.8 kcal/mol, while retaining the lower computational cost characteristic of semi-local DFT. This demonstrated departure from the historical trade-off between accuracy and efficiency is enabled by learning non-local representations of electronic structure directly from data, bypassing the need for increasingly costly hand-engineered features. Leveraging an unprecedented volume of high-accuracy reference data from wavefunction-based methods, we establish that modern deep learning enables systematically improvable neural exchange-correlation models as training datasets expand, positioning first-principles simulations to become progressively more predictive.