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Updated: Dec 8, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Optical spectra of 2D monolayers from time-dependent density functional theory
S Di Sabatino1, J A Berger, P Romaniello
1Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, France. pina.romaniello@irsamc.ups-tlse.fr.
This study assesses time-dependent density-functional theory (TDDFT) for 2D materials, finding it offers a good description of optical spectra for h-BN but requires improvements for MoS2 excitonic peaks.
Area of Science:
- Computational materials science
- Quantum chemistry
- Condensed matter physics
Background:
- Accurately predicting optical spectra of 2D materials is challenging due to significant excitonic effects.
- Standard time-dependent density-functional theory (TDDFT) often struggles with these large excitonic effects in 2D systems.
Purpose of the Study:
- To evaluate the accuracy of a pure Kohn-Sham TDDFT framework for describing optical spectra of 2D materials.
- To explore a method that avoids external corrections like the GW approximation for the electronic band gap.
Main Methods:
- Adapted a previously developed approach for 3D systems to analyze 2D periodic systems.
- Leveraged the connection between the TDDFT exchange-correlation kernel and the derivative discontinuity in ground-state DFT.
- Employed a generalized polarization functional to capture excitonic effects.
Main Results:
- The adapted protocol provides a qualitatively accurate description of the optical spectrum for hexagonal boron nitride (h-BN).
- The method shows limitations in accurately reproducing the intensity of excitonic peaks for molybdenum disulfide (MoS2).
Conclusions:
- The pure Kohn-Sham TDDFT approach, incorporating derivative discontinuity and a generalized polarization functional, shows promise for 2D material optical spectra.
- Further refinements are necessary for quantitative accuracy, particularly for materials with strong excitonic interactions like MoS2.
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