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arXiv · 2409.01669

Polarizable Continuum Models and Green's Function $\bf{GW}$ Formalism: On the Dynamics of the Solvent Electrons

Ivan Duchemin·David Amblard·Xavier Blase
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Abstract

The many-body $GW$ formalism, for the calculation of ionization potentials or electronic affinities, relies on the frequency-dependent dielectric function built from the electronic degrees of freedom. Considering the case of water as a solvent treated within the polarizable continuum model, we explore the impact of restricting the full frequency-dependence of the solvent electronic dielectric response to a frequency-independent $(\epsilon_\infty)$ optical dielectric constant. For solutes presenting small to large highest-occupied to lowest-unoccupied molecular orbital energy gaps, we show that such a restriction induces errors no larger than a few percent on the energy level shifts from the gas to the solvated phase. We further introduce a remarkably accurate single-pole model for mimicking the effect of the full frequency dependence of the water dielectric function in the visible-UV range. This allows a fully dynamical embedded $GW$ calculation with the only knowledge of the cavity reaction field calculated for the $\epsilon_\infty$ optical dielectric constant.

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Ivan Duchemin, David Amblard, Xavier Blase. 2024-09-03. Polarizable Continuum Models and Green's Function $\bf{GW}$ Formalism: On the Dynamics of the Solvent Electrons. https://doi.org/10.1021/acs.jctc.4c00745

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