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带微扰三重激发的重整化内收缩多参考耦合簇方法

Renormalized Internally Contracted Multireference Coupled Cluster with Perturbative Triples.

作者信息

Feldmann Robin, Reiher Markus

机构信息

Department of Chemistry and Applied Biosciences, ETH Zürich,, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland.

出版信息

J Chem Theory Comput. 2024 Aug 27;20(16):7126-7143. doi: 10.1021/acs.jctc.4c00679. Epub 2024 Aug 19.

Abstract

In this work, we combine the many-body formulation of the internally contracted multireference coupled cluster (ic-MRCC) method with Evangelista's multireference formulation of the driven similarity renormalization group (DSRG). The DSRG method can be viewed as a unitary multireference coupled cluster theory, which renormalizes the amplitudes based on a flow equation approach to eliminate numerical instabilities. We extend this approach by demonstrating that the unitary flow equation approach can be adapted for nonunitary transformations, rationalizing the renormalization of ic-MRCC amplitudes. We denote the new approach, the renormalized ic-MRCC (ric-MRCC) method. To achieve high accuracy with a reasonable computational cost, we introduce a new approximation to the Baker-Campbell-Hausdorff expansion. We fully consider the linear commutator while approximating the quadratic commutator, for which we neglect specific contractions involving amplitudes with active indices. Moreover, we introduce approximate perturbative triples to obtain the ric-MRCCSD[T] method. We demonstrate the accuracy of our approaches in comparison to advanced multireference methods for the potential energy curves of H, F, HO, N, and Cr. Additionally, we show that ric-MRCCSD and ric-MRCSSD[T] match the accuracy of CCSD(T) for evaluating spectroscopic constants and of full configuration interaction energies for a set of small molecules.

摘要

在这项工作中,我们将内收缩多参考耦合簇(ic-MRCC)方法的多体公式与埃万杰利斯塔的驱动相似性重整化群(DSRG)的多参考公式相结合。DSRG方法可被视为一种幺正多参考耦合簇理论,它基于流方程方法对振幅进行重整化以消除数值不稳定性。我们通过证明幺正流方程方法可适用于非幺正变换来扩展此方法,从而使ic-MRCC振幅的重整化合理化。我们将这种新方法称为重整化ic-MRCC(ric-MRCC)方法。为了以合理的计算成本实现高精度,我们对贝克-坎贝尔-豪斯多夫展开引入了一种新的近似。在近似二次对易子时,我们充分考虑线性对易子,为此我们忽略涉及活性指标振幅的特定收缩。此外,我们引入近似微扰三重态以得到ric-MRCCSD[T]方法。我们将我们的方法与用于H、F、HO、N和Cr势能曲线的先进多参考方法相比较,证明了我们方法的准确性。此外,我们表明ric-MRCCSD和ric-MRCSSD[T]在评估光谱常数方面与CCSD(T)的准确性相匹配,并且在一组小分子的全组态相互作用能方面也与之匹配。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4dc2/11360144/7f512ad1737b/ct4c00679_0001.jpg

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