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In the present manuscript, we extent the Bethe-Salpeter equation (BSE) approach from many-body perturbation theory to the spin-flip formalism in order to access double excitations in molecular systems. Going beyond the ubiquitous static approximation (which is equivalent to the adiabatic approximation of TD-DFT), we also propose a perturbative treatement to take into account the dynamical nature of the Bethe-Salpeter equations.
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All of these techniques are combined within the spin-unrestricted formalism that we have extended to the $GW$ approximation and the BSE formalism in the present study.
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Explicit equations for all of these methods are explicitly provided.
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Taking the beryllium atom, the dissociation of the hydrogen molecule, and cyclobutadiene in two different geometries as examples, we have shown that the spin-flip BSE formalism can accurately model double excitations and seems to surpass systematically its spin-flip TD-DFT parent.
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Taking the beryllium atom, the dissociation of the hydrogen molecule, and cyclobutadiene in two different geometries as examples, we show that the spin-flip BSE formalism can accurately model double excitations and seems to surpass systematically its spin-flip TD-DFT parent.
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Because of its novelty and its large impact in the electronic structure community, we expect the present study to be of interest to a wide audience within the chemistry and physics communities.
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Because of its novelty and impact in the electronic structure community, we expect the present study to be of interest to a wide audience within the chemistry and physics communities.
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We suggest Anna Krylov, David Casanova, So Hirata, Nicholas Mayhall, Miquel Huix-Rotllant, Patrick Rinke, Fabien Bruneval, Wim Klopper, and Lucia Reining as potential referees.
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We look forward to hearing from you soon.
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