In this work we present a new approach to fix the intruder-state problem (ISP) in CASPT2 based on σ regularization. The resulting σ-CASPT2 method is compared to previous techniques, namely, the real and imaginary level shifts, on a theoretical basis and by performing a series of systematic calculations. The analysis is focused on two aspects, the effectiveness of σ-CASPT2 in removing the ISP and the sensitivity of the approach with respect to the input parameter. We found that σ-CASPT2 compares favorably with respect to previous approaches and that different versions, σ-CASPT2 and σ-CASPT2, have different potential application domains. This analysis also reveals the unsuitability of the real level shift technique as a general way to avoid the intruder-state problem.
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http://dx.doi.org/10.1021/acs.jctc.2c00368 | DOI Listing |
J Chem Phys
May 2024
Department of Chemistry, Graduate School of Science, Nagoya University, Furocho, Chikusa Ward, Nagoya, Aichi 464-8601, Japan.
Chemical phenomena involving near-degenerate electronic states, such as conical intersections or avoided crossing, can be properly described using quasi-degenerate perturbation theory. This study proposed a highly scalable quasi-degenerate second-order N-electron valence state perturbation theory (QD-NEVPT2) using the local pair-natural orbital (PNO) method. Our recent study showed an efficient implementation of the PNO-based state-specific NEVPT2 method using orthonormal localized virtual molecular orbitals (LVMOs) as an intermediate local basis.
View Article and Find Full Text PDFJ Chem Phys
September 2023
Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA.
Accurate multireference electronic structure calculations are important for constructing potential energy surfaces. Still, even in the case of low-scaling methods, their routine use is limited by the steep growth of the computational and storage costs as the active space grows. This is primarily due to the occurrence of three- and higher-body density matrices or, equivalently, their cumulants.
View Article and Find Full Text PDFJ Chem Theory Comput
July 2023
Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, 31400 Toulouse, France.
The family of Green's function methods based on the approximation has gained popularity in the electronic structure theory thanks to its accuracy in weakly correlated systems combined with its cost-effectiveness. Despite this, self-consistent versions still pose challenges in terms of convergence. A recent study [Monino and Loos 2022, 156, 231101.
View Article and Find Full Text PDFJ Chem Theory Comput
August 2022
Department of Chemistry─BMC, Uppsala University, P. O. Box 576, SE-75123Uppsala, Sweden.
In this work we present a new approach to fix the intruder-state problem (ISP) in CASPT2 based on σ regularization. The resulting σ-CASPT2 method is compared to previous techniques, namely, the real and imaginary level shifts, on a theoretical basis and by performing a series of systematic calculations. The analysis is focused on two aspects, the effectiveness of σ-CASPT2 in removing the ISP and the sensitivity of the approach with respect to the input parameter.
View Article and Find Full Text PDFJ Chem Phys
June 2022
Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, Toulouse, France.
By recasting the non-linear frequency-dependent GW quasiparticle equation into a linear eigenvalue problem, we explain the appearance of multiple solutions and unphysical discontinuities in various physical quantities computed within the GW approximation. Considering the GW self-energy as an effective Hamiltonian, it is shown that these issues are key signatures of strong correlation in the (N ± 1)-electron states and can be directly related to the intruder state problem. A simple and efficient regularization procedure inspired by the similarity renormalization group is proposed to avoid such issues and speed up the convergence of partially self-consistent GW calculations.
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