Theoretical analysis and comparison of unitary coupled-cluster and algebraic-diagrammatic construction methods for ionization

This article describes a novel approach for the calculation of ionization potentials (IPs), or, more generally, electron-detachment energies, based on a unitary coupled-cluster (UCC) parameterization of the ground-state wave function. Explicit working equations for a scheme referred to as IP-UCC3 ar...

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Hauptverfasser: Hodecker, Manuel (VerfasserIn) , Dempwolff, Adrian (VerfasserIn) , Schirmer, Jochen (VerfasserIn) , Dreuw, Andreas (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 16 February 2022
In: The journal of chemical physics
Year: 2022, Jahrgang: 156, Heft: 7, Pages: 1-17
ISSN:1089-7690
DOI:10.1063/5.0070967
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1063/5.0070967
Verlag, lizenzpflichtig, Volltext: https://aip.scitation.org/doi/10.1063/5.0070967
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Verfasserangaben:Manuel Hodecker, Adrian L. Dempwolff, Jochen Schirmer, and Andreas Dreuw
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Zusammenfassung:This article describes a novel approach for the calculation of ionization potentials (IPs), or, more generally, electron-detachment energies, based on a unitary coupled-cluster (UCC) parameterization of the ground-state wave function. Explicit working equations for a scheme referred to as IP-UCC3 are given, providing electron-detachment energies and spectroscopic amplitudes of electron-detached states dominated by one-hole excitations correct through third order. In the derivation, an expansion of the UCC transformed Hamiltonian involving Bernoulli numbers as expansion coefficients is employed. Both the secular matrix and the effective transition moments are shown to be essentially equivalent to the strict third-order algebraic-diagrammatic construction scheme for the electron propagator (IP-ADC). Interestingly, due to the Bernoulli expansion, neglecting triple substitutions in the UCC expansion manifold does not affect the third-order consistency of the IP-UCC effective transition moments. Finally, the equivalence between ADC and UCC excited-state schemes is shown to not hold in fourth or higher order due to a different treatment of the correlated excited-state basis.
Beschreibung:Gesehen am 23.03.2022
Beschreibung:Online Resource
ISSN:1089-7690
DOI:10.1063/5.0070967