Communication: A reduced scaling J-engine based reformulation of SOS-MP2 using graphics processing units.

Area of Science:

• Computational Chemistry
• Quantum Chemistry
• Materials Science

Background:

• Accurate electronic structure calculations are crucial for understanding molecular properties.
• Traditional high-accuracy methods often face computational scaling limitations, restricting their application to smaller systems.
• Accelerating these calculations is essential for advancing chemical and materials research.

Purpose of the Study:

• To develop a computationally efficient and scalable method for accurate electronic structure calculations.
• To adapt the scaled-opposite-spin second-order Møller-Plesset perturbation theory (SOS-MP2) for massively parallel architectures, specifically graphics processing units (GPUs).
• To enable the treatment of larger molecular systems with high accuracy on modern hardware.

Main Methods:

• Reformulation of the MP2 expression in the atomic orbital basis using Laplace transformation.
• Application of the resolution-of-the-identity (RI) approximation for integral approximation.
• Integration of efficient sparse algebra for 3-center integral transformation.
• Development of a modified J-engine algorithm to replace the rate-determining contraction step, optimized for GPUs.

Main Results:

• Achieved a reduction in computational scaling from O(N⁵) to O(N³) for the SOS-MP2 method.
• Demonstrated high suitability for massively parallel architectures like GPUs.
• Successfully replaced conventional algorithms with a GPU-optimized J-engine approach for enhanced efficiency.
• Enabled accurate and efficient treatment of large molecular systems on a single GPU server.

Conclusions:

• The presented SOS-MP2 method offers a significant speedup and improved scalability.
• This approach overcomes previous limitations in applying high-accuracy quantum chemistry methods to large systems.
• The GPU-accelerated scheme provides a powerful tool for computational chemistry and materials science research.