Density functional applications of jellium with a local gap model correlation energy functional

Area of Science:

• Computational Chemistry
• Quantum Mechanics
• Materials Science

Background:

• Density functional theory (DFT) is a cornerstone of modern electronic structure calculations.
• Accurate calculation of electronic properties like ionization potentials is crucial for predicting chemical behavior.
• Existing approximations in DFT can limit predictive accuracy for certain systems.

Purpose of the Study:

• To develop a novel, realistic density functional approximation for the local gap.
• To improve the accuracy of correlation energy calculations in atoms and molecules.
• To introduce a new functional, LDAg, for enhanced density functional theory applications.

Main Methods:

• Development of a local gap approximation based on a semilocal indicator with good screening properties.
• Implementation of the local gap model within the jellium-with-gap correlation energy framework.
• Testing the model's performance on atomic systems, including the helium isoelectronic series and noble atoms.

Main Results:

• The developed local band model exhibits excellent density scaling properties.
• The new functional, LDAg, yields correlation energies comparable to standard LDA.
• LDAg demonstrates significant improvements in predicting the ionization potentials of atoms and molecules.

Conclusions:

• The LDAg functional represents a promising advancement in density functional theory.
• LDAg offers a more accurate approach for calculating ionization potentials.
• This new tool is expected to be valuable for various applications in computational chemistry and physics.