Tailored Coupled Cluster Theory in Varying Correlation Regimes

TL;DR

This paper analyzes the tailored coupled cluster (TCC) method's effectiveness in describing static and dynamic correlation, emphasizing its reliability, limitations, and potential improvements with large active spaces in quantum chemistry calculations.

Contribution

It provides a detailed assessment of TCC's accuracy, issues like symmetry breaking, and the benefits of large active spaces for improved wave function approximation.

Findings

TCC can reliably describe static and dynamic correlation in model systems.

Symmetry breaking effects can be mitigated by choosing the dominant determinant as reference.

Large active spaces improve TCC accuracy and reduce size-consistency errors.

Abstract

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.