Accurate Semilocal Density Functional for Condensed-Matter Physics and Quantum Chemistry

Area of Science:

• Quantum Chemistry
• Computational Materials Science
• Density Functional Theory

Background:

• Density functionals are crucial for modeling electronic structure but struggle with accurate exchange hole representation.
• The delocalization of the exchange hole poses a significant challenge for conventional functional development.

Purpose of the Study:

• To develop a novel semilocal exchange-correlation functional by accurately modeling the exchange hole.
• To improve the prediction of diverse material properties using the new functional.

Main Methods:

• Derivation of an exchange hole from density matrix expansion utilizing coordinate transformation.
• Incorporation of the low-density limit constraint for the correlation part.
• Calculation of a semilocal exchange-correlation functional from the derived hole.

Main Results:

• The developed functional achieves remarkable accuracy for properties of molecules, solids, and surfaces.
• It shows substantial improvement over recently proposed nonempirical functionals.
• The functional demonstrates physical appeal and practical utility.

Conclusions:

• Accurate modeling of the exchange hole is key to developing high-performance semilocal functionals.
• This approach offers a promising pathway for creating more accurate and reliable computational chemistry tools.
• The developed functional is valuable for both fundamental research and practical applications in materials science.