Bootstrap Embedding for Molecules

Fragment embedding is one way to circumvent the high computational scaling of accurate electron correlation methods. The challenge of applying fragment embedding to molecular systems primarily lies in the strong entanglement and correlation that prevent accurate fragmentation across chemical bonds....

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Main Authors: Ye, Hongzhou, Ricke, Nathan Darrell, Tran, Henry K., Van Voorhis, Troy
Other Authors: Massachusetts Institute of Technology. Department of Chemistry
Format: Article
Language:English
Published: American Chemical Society (ACS) 2019
Online Access:https://hdl.handle.net/1721.1/122290
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author Ye, Hongzhou
Ricke, Nathan Darrell
Tran, Henry K.
Van Voorhis, Troy
author2 Massachusetts Institute of Technology. Department of Chemistry
author_facet Massachusetts Institute of Technology. Department of Chemistry
Ye, Hongzhou
Ricke, Nathan Darrell
Tran, Henry K.
Van Voorhis, Troy
author_sort Ye, Hongzhou
collection MIT
description Fragment embedding is one way to circumvent the high computational scaling of accurate electron correlation methods. The challenge of applying fragment embedding to molecular systems primarily lies in the strong entanglement and correlation that prevent accurate fragmentation across chemical bonds. Recently, Schmidt decomposition has been shown effective for embedding fragments that are strongly coupled to a bath in several model systems. In this work, we extend a recently developed quantum embedding scheme, bootstrap embedding (BE), to molecular systems. The resulting method utilizes the matching conditions naturally arising from using overlapping fragments to optimize the embedding. Numerical simulation suggests that the accuracy of the embedding improves rapidly with fragment size for small molecules, whereas larger fragments that include orbitals from different atoms may be needed for larger molecules. BE scales linearly with system size (apart from an integral transform) and hence can potentially be useful for large-scale calculations.
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spelling mit-1721.1/1222902022-09-30T14:34:22Z Bootstrap Embedding for Molecules Ye, Hongzhou Ricke, Nathan Darrell Tran, Henry K. Van Voorhis, Troy Massachusetts Institute of Technology. Department of Chemistry Fragment embedding is one way to circumvent the high computational scaling of accurate electron correlation methods. The challenge of applying fragment embedding to molecular systems primarily lies in the strong entanglement and correlation that prevent accurate fragmentation across chemical bonds. Recently, Schmidt decomposition has been shown effective for embedding fragments that are strongly coupled to a bath in several model systems. In this work, we extend a recently developed quantum embedding scheme, bootstrap embedding (BE), to molecular systems. The resulting method utilizes the matching conditions naturally arising from using overlapping fragments to optimize the embedding. Numerical simulation suggests that the accuracy of the embedding improves rapidly with fragment size for small molecules, whereas larger fragments that include orbitals from different atoms may be needed for larger molecules. BE scales linearly with system size (apart from an integral transform) and hence can potentially be useful for large-scale calculations. National Science Foundation (U.S.) (Grant CHE-1464804) 2019-09-25T20:36:01Z 2019-09-25T20:36:01Z 2019-07 2019-05 2019-09-20T13:58:51Z Article http://purl.org/eprint/type/JournalArticle 1549-9618 1549-9626 https://hdl.handle.net/1721.1/122290 Ye, Hong-Zhou et al. "Bootstrap Embedding for Molecules." Journal of Chemical Theory and Computing 15, 8 (July 2019): 4497-4506 © 2019 American Chemical Society en http://dx.doi.org/10.1021/acs.jctc.9b00529 Journal of Chemical Theory and Computation Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf American Chemical Society (ACS) ACS
spellingShingle Ye, Hongzhou
Ricke, Nathan Darrell
Tran, Henry K.
Van Voorhis, Troy
Bootstrap Embedding for Molecules
title Bootstrap Embedding for Molecules
title_full Bootstrap Embedding for Molecules
title_fullStr Bootstrap Embedding for Molecules
title_full_unstemmed Bootstrap Embedding for Molecules
title_short Bootstrap Embedding for Molecules
title_sort bootstrap embedding for molecules
url https://hdl.handle.net/1721.1/122290
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AT rickenathandarrell bootstrapembeddingformolecules
AT tranhenryk bootstrapembeddingformolecules
AT vanvoorhistroy bootstrapembeddingformolecules