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Finite-Size Effects in Periodic EOM-CCSD for Ionization Energies and Electron Affinities: Convergence Rate and Extrapolation to the Thermodynamic Limit

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Moerman,  Evgeny       
NOMAD, Fritz Haber Institute, Max Planck Society;

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Scheffler,  Matthias       
NOMAD, Fritz Haber Institute, Max Planck Society;

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Citation

Moerman, E., Gallo, A., Irmler, A., Schäfer, T., Hummel, F., Grüneis, A., et al. (2025). Finite-Size Effects in Periodic EOM-CCSD for Ionization Energies and Electron Affinities: Convergence Rate and Extrapolation to the Thermodynamic Limit. Journal of Chemical Theory and Computation, 21(4), 1865-1878. doi:10.1021/acs.jctc.4c01451.


Cite as: https://hdl.handle.net/21.11116/0000-000F-CF92-3
Abstract
We investigate the convergence of quasi-particle energies for periodic systems to the thermodynamic limit using increasingly large simulation cells corresponding to increasingly dense integration meshes in reciprocal space. The quasi-particle energies are computed at the level of equation-of-motion coupled-cluster theory for ionization (IP-EOM-CC) and electron attachment processes (EA-EOM-CC). By introducing an electronic correlation structure factor, the expected asymptotic convergence rates for systems with different dimensionality are formally derived. We rigorously test these derivations through numerical simulations for trans-Polyacetylene using IP/EA-EOM-CCSD and the G0W0@HF approximation, which confirm the predicted convergence behavior. Our findings provide a solid foundation for efficient schemes to correct finite-size errors in IP/EA-EOM-CCSD calculations.