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Catalyzing Electronic Structure Calculations: Unveiling the Power of Separable RI

We are delighted to announce our latest research published by JCP https://doi.org/10.1063/5.0184406. In this study, we implemented a separable resolution-of-identity (RI) scheme within an all-electron numeric atom-centered orbital framework, as proposed by Duchemin and Blase. The separable RI scheme maintains the accuracy of the standard global RI method, enabling the formulation of cubic-scaling random phase approximation (RPA) and GW approaches. Our comprehensive benchmarks, utilizing the Thiel and GW100 test sets, cover various electronic structure algorithms, including Hartree–Fock, second-order Møller–Plesset (MP2), coupled-cluster singles and doubles, RPA, and renormalized second-order perturbation theory. Notably, the separable RI approach demonstrates impressive accuracy, reproducing RI-free HF calculations within 9 meV and MP2 calculations within 1 meV. Furthermore, our findings confirm the approach’s scalability, with consistent error independence across diverse systems, including disordered carbon clusters up to 116 atoms. This work showcases the potential of the separable RI method for advancing electronic structure calculations with enhanced accuracy and computational efficiency.

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