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Published April 7, 2023 | Supplemental Material
Journal Article Open

Multi-site reaction dynamics through multi-fragment density matrix embedding

Abstract

The practical description of disordered chemical reactions, where the reactions involve multiple species at multiple sites, is presently a challenge using correlated electronic structure methods due to their high computational cost and steep scaling. Here, we describe the gradient theory of multi-fragment density matrix embedding theory, which potentially provides a minimal computational framework to model such processes at the correlated electron level. We present the derivation and implementation of the gradient theory, its validation on model systems and chemical reactions using density matrix embedding, and its application to a molecular dynamics simulation of proton transport in a small water cluster, a simple example of multi-site reaction dynamics.

Additional Information

© 2023 Author(s). Published under an exclusive license by AIP Publishing. This work, including the development of embedding gradient theory, was primarily supported by the U.S. Department of Energy, Office of Science, via Award No. DOE-SC0023318. Additional work on the PySCF backend was supported by the U.S. Department of Energy, Office of Science, via Award No. DOE-SC0019390. G.K.-L.C. was a Simons Investigator. The authors thank Dr. Zhi-Hao Cui for helpful discussions. Author Contributions. Chenghan Li: Conceptualization (equal); Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Resources (equal); Software (equal); Validation (equal); Visualization (equal); Writing – original draft (equal); and Writing – review & editing (equal). Junjie Yang: Conceptualization (equal); Methodology (equal); Writing – original draft (equal); and Writing – review & editing (equal). Xing Zhang: Conceptualization (equal); Methodology (equal); and Writing – review & editing (equal). Garnet Kin-Lic Chan: Conceptualization (equal); Funding acquisition (equal); Investigation (equal); Methodology (equal); Project administration (equal); Resources (equal); Writing – original draft (equal); and Writing – review & editing (equal). DATA AVAILABILITY. The data that support the findings of this study are available within the article and its supplementary material. SUPPLEMENTARY MATERIAL. See the supplementary material for more computational details, geometries used, and a complete comparison between DMET frequencies and CCSD frequencies. The authors have no conflicts to disclose.

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Additional details

Created:
August 22, 2023
Modified:
October 20, 2023