A static quantum embedding scheme based on coupled cluster theory

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Main Authors: Shee, Avijit, Faulstich, Fabian M., Whaley, Birgitta, Lin, Lin, Head-Gordon, Martin
Format: Preprint
Published: 2024
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author Shee, Avijit
Faulstich, Fabian M.
Whaley, Birgitta
Lin, Lin
Head-Gordon, Martin
author_facet Shee, Avijit
Faulstich, Fabian M.
Whaley, Birgitta
Lin, Lin
Head-Gordon, Martin
contents We develop a static quantum embedding scheme that utilizes different levels of approximations to coupled cluster (CC) theory for an active fragment region and its environment. To reduce the computational cost, we solve the local fragment problem using a high-level CC method and address the environment problem with a lower-level Møller-Plesset (MP) perturbative method. This embedding approach inherits many conceptual developments from the hybrid MP2 and CC works by Nooijen and Sherrill (J. Chem. Phys. 111, 10815 (1999), J. Chem. Phys. 122, 234110 (2005)). We go beyond those works here by primarily targeting a specific localized fragment of a molecule and also introducing an alternative mechanism to relax the environment within this framework. We will call this approach MP-CC. We demonstrate the effectiveness of MP-CC on several potential energy curves, and a set of thermochemical reaction energies, using CC with singles and doubles as the fragment solver, and MP2-like treatments of the environment. The results are substantially improved by the inclusion of orbital relaxation in the environment. Using localized bonds as the active fragment, we also report results for \ce{N=N} bond breaking in azomethane and for the central \ce{C-C} bond torsion in butadiene. We find that when the fragment Hilbert space size remains fixed (e.g., when determined by an intrinsic atomic orbital approach), the method achieves comparable accuracy with both a small and a large basis set. Additionally, our results indicate that increasing the fragment Hilbert space size systematically enhances the accuracy of observables, approaching the precision of the full CC solver.
format Preprint
id arxiv_https___arxiv_org_abs_2404_09078
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A static quantum embedding scheme based on coupled cluster theory
Shee, Avijit
Faulstich, Fabian M.
Whaley, Birgitta
Lin, Lin
Head-Gordon, Martin
Chemical Physics
We develop a static quantum embedding scheme that utilizes different levels of approximations to coupled cluster (CC) theory for an active fragment region and its environment. To reduce the computational cost, we solve the local fragment problem using a high-level CC method and address the environment problem with a lower-level Møller-Plesset (MP) perturbative method. This embedding approach inherits many conceptual developments from the hybrid MP2 and CC works by Nooijen and Sherrill (J. Chem. Phys. 111, 10815 (1999), J. Chem. Phys. 122, 234110 (2005)). We go beyond those works here by primarily targeting a specific localized fragment of a molecule and also introducing an alternative mechanism to relax the environment within this framework. We will call this approach MP-CC. We demonstrate the effectiveness of MP-CC on several potential energy curves, and a set of thermochemical reaction energies, using CC with singles and doubles as the fragment solver, and MP2-like treatments of the environment. The results are substantially improved by the inclusion of orbital relaxation in the environment. Using localized bonds as the active fragment, we also report results for \ce{N=N} bond breaking in azomethane and for the central \ce{C-C} bond torsion in butadiene. We find that when the fragment Hilbert space size remains fixed (e.g., when determined by an intrinsic atomic orbital approach), the method achieves comparable accuracy with both a small and a large basis set. Additionally, our results indicate that increasing the fragment Hilbert space size systematically enhances the accuracy of observables, approaching the precision of the full CC solver.
title A static quantum embedding scheme based on coupled cluster theory
topic Chemical Physics
url https://arxiv.org/abs/2404.09078