Scaled opposite-spin atomic-orbital based algebraic diagrammatic construction scheme for the polarization propagator with asymptotic linear-scaling effort: theory and implementation

A novel local approach for the quantum-chemical computation of excited states is presented, where the concept of the atomic-orbital formulation of the second-order Møller-Plesset energy expression is extended to the second-order algebraic diagrammatic construction scheme by virtue of the Laplace tra...

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Main Authors: Ambroise, Maximilien (Author) , Sacchetta, Filippo (Author) , Graf, Daniel (Author) , Ochsenfeld, C. (Author) , Dreuw, Andreas (Author)
Format: Article (Journal)
Language:English
Published: 30 March 2023
In: The journal of chemical physics
Year: 2023, Volume: 158, Issue: 12, Pages: 1-16
ISSN:1089-7690
DOI:10.1063/5.0139894
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1063/5.0139894
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Author Notes:M.A. Ambroise, F. Sacchetta, D. Graf, C. Ochsenfeld, and A. Dreuw

MARC

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520 |a A novel local approach for the quantum-chemical computation of excited states is presented, where the concept of the atomic-orbital formulation of the second-order Møller-Plesset energy expression is extended to the second-order algebraic diagrammatic construction scheme by virtue of the Laplace transform. The scaled opposite-spin second-order algebraic diagrammatic construction method with Cholesky decomposed densities and density-fitting, or CDD-DF-SOS-ADC(2) for short, exploits the sparsity of the two-electron repulsion integrals, the atomic ground-state density matrix, and the atomic transition density matrix to drastically reduce the computational effort. By using a local density-fitting approximation, it is shown that asymptotically linear scaling can be achieved for linear carboxylic acids. For electron-dense systems, sub-cubic scaling can be achieved if the excitation is local, and hence the transition density is sparse. Furthermore, the memory footprint and accuracy of the CDD-DF-SOS-ADC(2) method are explored in detail. 
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