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Beyond TD-DFT: Assessing the Bethe-Salpeter Equation within the GW Approximation for Absorption Properties.

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|November 14, 2025
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Time-dependent density functional theory (TD-DFT) is a common method for optical absorption. However, GW/Bethe-Salpeter equation (GW/BSE) methods show superior accuracy for two-photon absorption (2PA) in diverse fluorophores.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Spectroscopy

Background:

  • Time-dependent density functional theory (TD-DFT) is widely used for predicting optical absorption properties due to its balance of efficiency and accuracy.
  • Limitations of TD-DFT include challenges in achieving both quantitative accuracy and reliable structure-property trend prediction.
  • The GW/Bethe-Salpeter equation (GW/BSE) approach is emerging as a powerful alternative for optical property calculations.

Purpose of the Study:

  • To comprehensively evaluate and compare the performance of TD-DFT against GW/BSE methods for predicting one-photon (1PA) and two-photon absorption (2PA) properties.
  • To assess the accuracy and reliability of eigenvalue self-consistent GW (evGW/BSE) and single-shot G0W0/BSE approaches.
  • To determine the suitability of these computational methods for modeling optical properties in a diverse set of fluorophores.

Main Methods:

  • Calculations were performed using TD-DFT and GW/BSE (evGW/BSE and G0W0/BSE) methods.
  • The resolution-of-identity (RI) approximation was employed.
  • Results were benchmarked against resolution-of-identity second-order approximate coupled-cluster (RI-CC2) calculations.

Main Results:

  • TD-DFT remains effective for predicting one-photon absorption (1PA).
  • Both evGW/BSE and G0W0/BSE methods demonstrated superior performance for two-photon absorption (2PA) compared to TD-DFT.
  • GW/BSE approaches showed lower absolute errors, better agreement with qualitative trends, and overcame the accuracy-trend trade-off limitations of TD-DFT.

Conclusions:

  • GW/BSE methods, specifically evGW/BSE and G0W0/BSE, are highly promising for accurate optical property modeling, particularly for two-photon absorption (2PA).
  • These methods offer reliable quantitative predictions and robust structure-property correlations, surpassing TD-DFT in these aspects.
  • The findings support the broader adoption of GW/BSE frameworks for computational studies of optical properties.