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Title: Cluster perturbation theory. II. Excitation energies for a coupled cluster target state

Abstract

In cluster perturbation (CP) theory, we consider a target excitation space relative to a Hartree-Fock state and partition the target excitation space into a parent excitation space and an auxiliary excitation space. The zeroth-order state is in CP theory a coupled cluster (CC) state in the parent excitation space, and the target state is a CC state in the target excitation space. In this paper, we derive CP series for excitation energies in orders of the CC parent-state similarity-transformed fluctuation potential where the zeroth-order term in the series is an excitation energy for the CC parent state response eigenvalue equation and where the series formally converge to an excitation energy for the CC target state response eigenvalue equation. We give explicit expressions for the lowest-order excitation energy corrections. We also report calculations for CP excitation energy series for various parent and target excitation spaces and examine how well the lower-order corrections can reproduce the total excitation energies. Considering the fast local convergence we have observed for the CP excitation energy series, it becomes computationally attractive to use low-order corrections in CP series to obtain excitation energies of CC target state quality. For the CPS(D-n) series, the first-order correction vanishes, themore » second-order correction becomes the CIS(D) model, and for the CPS(D-3) model, our calculations suggest that excitation energies of CCSD quality are obtained. The numerical results also suggest that a similar behavior can be seen for the low-order excitation energy corrections for CP series where the parent state contains more than a singles excitation space, e.g., for the CPSD(T) model. Finally, we therefore expect the low-order excitation energy corrections in CP series soon to become state-of-the-art models for determining excitation energies of CC target state quality.« less

Authors:
ORCiD logo [1]; ORCiD logo [2];  [2]
+ Show Author Affiliations
  1. Auburn Univ., AL (United States)
  2. Aarhus Univ. (Denmark)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1565761
Alternate Identifier(s):
OSTI ID: 1505016
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 150; Journal Issue: 13; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; chemistry; physics

Citation Formats

Pawłowski, Filip, Olsen, Jeppe, and Jørgensen, Poul. Cluster perturbation theory. II. Excitation energies for a coupled cluster target state. United States: N. p., 2019. Web. doi:10.1063/1.5053167.
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Pawłowski, Filip, Olsen, Jeppe, & Jørgensen, Poul. Cluster perturbation theory. II. Excitation energies for a coupled cluster target state. United States. https://doi.org/10.1063/1.5053167
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Pawłowski, Filip, Olsen, Jeppe, and Jørgensen, Poul. Sun . "Cluster perturbation theory. II. Excitation energies for a coupled cluster target state". United States. https://doi.org/10.1063/1.5053167. https://www.osti.gov/servlets/purl/1565761.
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@article{osti_1565761,
title = {Cluster perturbation theory. II. Excitation energies for a coupled cluster target state},
author = {Pawłowski, Filip and Olsen, Jeppe and Jørgensen, Poul},
abstractNote = {In cluster perturbation (CP) theory, we consider a target excitation space relative to a Hartree-Fock state and partition the target excitation space into a parent excitation space and an auxiliary excitation space. The zeroth-order state is in CP theory a coupled cluster (CC) state in the parent excitation space, and the target state is a CC state in the target excitation space. In this paper, we derive CP series for excitation energies in orders of the CC parent-state similarity-transformed fluctuation potential where the zeroth-order term in the series is an excitation energy for the CC parent state response eigenvalue equation and where the series formally converge to an excitation energy for the CC target state response eigenvalue equation. We give explicit expressions for the lowest-order excitation energy corrections. We also report calculations for CP excitation energy series for various parent and target excitation spaces and examine how well the lower-order corrections can reproduce the total excitation energies. Considering the fast local convergence we have observed for the CP excitation energy series, it becomes computationally attractive to use low-order corrections in CP series to obtain excitation energies of CC target state quality. For the CPS(D-n) series, the first-order correction vanishes, the second-order correction becomes the CIS(D) model, and for the CPS(D-3) model, our calculations suggest that excitation energies of CCSD quality are obtained. The numerical results also suggest that a similar behavior can be seen for the low-order excitation energy corrections for CP series where the parent state contains more than a singles excitation space, e.g., for the CPSD(T) model. Finally, we therefore expect the low-order excitation energy corrections in CP series soon to become state-of-the-art models for determining excitation energies of CC target state quality.},
doi = {10.1063/1.5053167},
journal = {Journal of Chemical Physics},
number = 13,
volume = 150,
place = {United States},
year = {Sun Apr 07 00:00:00 EDT 2019},
month = {Sun Apr 07 00:00:00 EDT 2019}
}
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    Works referencing / citing this record:

    Cluster perturbation theory. III. Perturbation series for coupled cluster singles and doubles excitation energies
    journal, April 2019

    • Baudin, Pablo; Pawłowski, Filip; Bykov, Dmytro
    • The Journal of Chemical Physics, Vol. 150, Issue 13
    • DOI: 10.1063/1.5046935

    Cluster perturbation theory. IV. Convergence of cluster perturbation series for energies and molecular properties
    journal, April 2019

    • Pawłowski, Filip; Olsen, Jeppe; Jørgensen, Poul
    • The Journal of Chemical Physics, Vol. 150, Issue 13
    • DOI: 10.1063/1.5053622

    Cluster perturbation theory. V. Theoretical foundation for cluster linear target states
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    • Pawłowski, Filip; Olsen, Jeppe; Jørgensen, Poul
    • The Journal of Chemical Physics, Vol. 150, Issue 13
    • DOI: 10.1063/1.5053627

    Convergence patterns and rates in two-state perturbation expansions
    journal, August 2019

    • Olsen, Jeppe; Jørgensen, Poul
    • The Journal of Chemical Physics, Vol. 151, Issue 8
    • DOI: 10.1063/1.5110554

    The intermediate Hamiltonian Fock-space coupled-cluster method with approximate evaluation of the three-body effects
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    • Musiał, Monika; Meissner, Leszek; Cembrzynska, Justyna
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    A general time-domain formulation of equation-of-motion coupled-cluster theory for linear spectroscopy
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    • Nascimento, Daniel R.; DePrince, A. Eugene
    • The Journal of Chemical Physics, Vol. 151, Issue 20
    • DOI: 10.1063/1.5125494
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