论文标题

定制的耦合群集理论在不同的相关状态下

Tailored Coupled Cluster Theory in Varying Correlation Regimes

论文作者

Mörchen, Maximilian, Freitag, Leon, Reiher, Markus

论文摘要

量身定制的耦合群集(TCC)方法是一种有希望的ANSATZ,可保留单参考耦合群集理论的简单性,同时通过从先前的多组分计算中获得的振幅结合了多引用波函数。在这里,我们基于模型系统提供了TCC波函数的详细分析,该分析需要对静态和动态相关的准确描述。我们研究了TCC方法相对于精确波函数的可靠性。除了电子能量和标准耦合集群诊断的误差外,我们还利用TCC的重叠和完整配置相互作用波的功能作为质量度量。我们严格审查了诸如活动空间所需的大小,大小矛盾,波函数中的对称性破坏以及TCC对参考波函数的依赖性。我们观察到,可以通过使用活性空间中的重量最大的决定因素作为TCC计算的参考来减轻对称破坏引起的可能误差。我们发现TCC模型在具有活性轨道空间的计算中很有希望,其中包括所有具有较大单一轨道熵的轨道,即使活动空间变得非常大,然后可能需要现代的活动空间方法,而现代的活动空间方法不限于相对较小的轨道。此外,利用大型活跃空间可以改善TCC波功能近似值并减少尺寸一致性误差,因为高度兴奋的决定因素的存在会影响活跃空间中低激发决定因素的系数的准确性。

The tailored coupled cluster (TCC) approach is a promising ansatz that preserves the simplicity of single-reference coupled cluster theory, while incorporating a multi-reference wave function through amplitudes obtained from a preceding multi-configurational calculation. Here, we present a detailed analysis of the TCC wave function based on model systems, which require an accurate description of both static and dynamic correlation. We investigate the reliability of the TCC approach with respect to the exact wave function. In addition to the error in the electronic energy and standard coupled cluster diagnostics, we exploit the overlap of TCC and full configuration interaction wave functions as a quality measure. We critically review issues such as the required size of the active space, size-consistency, symmetry breaking in the wave function, and the dependence of TCC on the reference wave function. We observe that possible errors caused by symmetry breaking can be mitigated by employing the determinant with the largest weight in the active space as reference for the TCC calculation. We find the TCC model to be promising in calculations with active orbital spaces which include all orbitals with a large single-orbital entropy, even if the active spaces become very large and then may require modern active-space approaches that are not restricted to comparatively small numbers of orbitals. Furthermore, utilizing large active spaces can improve on the TCC wave-function approximation and reduce the size-consistency error, because the presence of highly excited determinants affects the accuracy of the coefficients of low-excited determinants in the active space.

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