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Updated: Oct 11, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Fragment-Based Excited-State Calculations Using the GW Approximation and the Bethe-Salpeter Equation
Takatoshi Fujita1, Yoshifumi Noguchi2
1Institute for Quantum Life Science, National Institutes for Quantum Science and Technology, Tokai, Ibaraki 319-1106, Japan.
This study introduces a fragment-based method for calculating molecular excited states using Green's function theory (GW) and the Bethe-Salpeter equation (BSE). The approach offers accurate and efficient excited-state predictions for large molecular systems.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Materials Science
Background:
- Calculating excited states of molecular systems is crucial for understanding photophysical and photochemical processes.
- Accurate methods for excited-state calculations are computationally expensive for large systems.
Purpose of the Study:
- To develop an efficient and accurate fragment-based approach for calculating charged and neutral excited states in molecular systems.
- To enable large-scale calculations of delocalized excited states in molecular aggregates.
Main Methods:
- Fragment-based approach utilizing the many-body Green's function method within the GW approximation and Bethe-Salpeter equation (BSE).
- Implementation based on the many-body expansion of total irreducible polarizability using fragment molecular orbitals.
- Large-scale GW/BSE method incorporating the fragment molecular orbital method and exciton model for molecular aggregates.
Main Results:
- Fragment-based GW/BSE methods accurately reproduce results from unfragmented calculations with errors below 100 meV.
- Accuracy of total irreducible polarizability is systematically improved by including two-body correction terms.
- The proposed approach demonstrates efficiency for excited-state calculations in large molecular systems.
Conclusions:
- The fragment-based GW/BSE approach provides a computationally efficient and accurate method for excited-state calculations.
- This method is suitable for studying large molecular systems and aggregates, advancing the understanding of their electronic properties.
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