Towards the Efficient Local Tailored Coupled Cluster Approximation and the Peculiar Case of Oxo-Mn(Salen)

Abstract

We introduce a new implementation of the coupled cluster method tailored by matrix product states wave functions (DMRG-TCCSD), which employs the local pair natural orbital approach (LPNO). By exploiting locality in the coupled cluster stage of the calculation, we were able to remove some of the limitations that hindered the application of the canonical version of the method to larger systems and/or with larger basis sets. We assessed the accuracy of the approximation using two systems: tetramethyleneethane (TME) and oxo-Mn(Salen). Using the default cut-off parameters, we were able to recover over 99.7% and 99.8% of canonical correlation energy for the triplet and singlet state of TME respectively. In case of oxo-Mn(Salen), we found out that the amount of retrieved canonical correlation energy depends on the size of the active space (CAS) - we retrieved over 99.6% for the larger 27 orbital CAS and over 99.8% for the smaller 22 orbital CAS. The use of LPNO-TCCSD allowed us to perform these calculations up to quadruple-$\zeta$ basis set amounting to 1178 basis functions. Moreover, we examined dependance of the ground state of oxo-Mn(Salen) on CAS composition. We found out that the inclusion of 4d${}_{xy}$ orbital plays an important role in stabilizing the singlet state at the DMRG-CASSCF level via double-shell effect. However, by including dynamic correlation the ground state was found to be triplet regardless of the size of the basis set or composition of CAS, which is in agreement with previous findings by canonical DMRG-TCCSD in smaller basis.

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Cited by in corpus (9)

• Analysis of The Tailored Coupled-Cluster Method in Quantum Chemistry
• Near-linear Scaling in DMRG-based Tailored Coupled Clusters: An Implementation of DLPNO-TCCSD and DLPNO-TCCSD(T)
• Coupled Cluster Externally Corrected by Adaptive Configuration Interaction
• Tailored and Externally Corrected Coupled Cluster with Quantum Inputs
• Renormalized Internally-Contracted Multireference Coupled Cluster with Perturbative Triples
• Hilbert space multireference coupled clusters tailored by matrix product states
• Complete Active Space Iterative Coupled Cluster Theory
• Automatic selection of active spaces for strongly correlated systems using machine learning algorithms
• DMRG-tailored coupled cluster method in the 4c-relativistic domain: General implementation and application to the NUHFI and NUF${}_3$ molecules