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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

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Published on: May 27, 2020

Correlation energy functional and potential from time-dependent exact-exchange theory.

Maria Hellgren¹, Ulf von Barth

¹Department of Mathematical Physics, Institute of Physics, Lund University, Sölvegatan 14A, Lund S-22362, Sweden.

The Journal of Chemical Physics

|February 2, 2010

Summary

Researchers developed a new functional for correlation energy using the exact-exchange approximation. This method accurately predicts atomic properties and simplifies calculations, showing excellent agreement with experimental data.

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Area of Science:

Quantum Chemistry
Computational Physics
Materials Science

Background:

Density Functional Theory (DFT) is a powerful quantum mechanical modeling method.
The exact-exchange (EXX) approximation is crucial for improving DFT accuracy.
Accurate calculation of correlation energy is essential for predicting material properties.

Purpose of the Study:

To introduce a novel functional for correlation energy within the time-dependent DFT framework.
To assess the accuracy of this new functional for atomic systems.
To simplify computational methods while maintaining high accuracy.

Main Methods:

Utilized the exact-exchange (EXX) approximation within time-dependent DFT.
Calculated correlation energies for various atomic species.
Approximated the EXX kernel by its static value to simplify computations.
Derived the correlation potential via functional differentiation.

Main Results:

The new functional demonstrated excellent agreement with sophisticated methods for atomic correlation energies.
Approximating the EXX kernel showed minimal loss of accuracy.
The derived correlation potential proved remarkably accurate across all studied atoms.
Calculated ionization potentials, polarizabilities, and van der Waals coefficients closely matched experimental values.

Conclusions:

The developed functional offers a computationally efficient and accurate approach for correlation energy calculations.
The simplified EXX approximation is viable for practical applications.
The derived correlation potential shows significant promise for predicting atomic and molecular properties.