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Generalized Gradient Approximation Correlation Energy Functionals Based on the Uniform Electron Gas with Gap Model.

Eduardo Fabiano1, Paolo E Trevisanutto2, Aleksandrs Terentjevs1

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Researchers developed two new density functional theory (DFT) models, GAPc and GAPloc, for electron gas correlation energy. These models improve accuracy for atomic, molecular, and surface systems while adhering to exact constraints.

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Area of Science:

  • Computational Physics
  • Quantum Chemistry
  • Materials Science

Background:

  • Density Functional Theory (DFT) is crucial for electronic structure calculations.
  • Accurate modeling of electron gas correlation energy is essential for predicting material properties.
  • Generalized Gradient Approximation (GGA) functionals require robust correlation components.

Purpose of the Study:

  • To develop novel local gap models for correlation energy within DFT.
  • To construct correlation functionals satisfying exact constraints.
  • To evaluate the performance of new functionals for various systems.

Main Methods:

  • Developed two local gap models (GAPc and GAPloc) for correlation energy.
  • Incorporated models into GGA correlation functionals.
  • Satisfied exact constraints for correlation energy, including second-order gradient expansion and Thomas-Fermi scaling.
  • Analyzed performance for jellium surfaces, atomic systems, and molecular systems.
  • Investigated compatibility with Hartree-Fock exchange.

Main Results:

  • GAPc achieves high accuracy for jellium surfaces and atomic/molecular systems, compatible with semilocal exchanges.
  • GAPloc shows high accuracy for atomic correlation energies and reasonable performance for jellium surfaces.
  • GAPloc exhibits improved behavior under Thomas-Fermi scaling and realistic helium atom correlation energy.
  • GAPloc demonstrates superior compatibility with Hartree-Fock exchange compared to other semilocal functionals.

Conclusions:

  • The developed GAPc and GAPloc functionals offer accurate and constraint-satisfying descriptions of electron gas correlation energy.
  • These functionals provide viable alternatives for electronic structure calculations in various systems.
  • GAPloc presents a promising avenue for improved exchange-correlation functional development, particularly with Hartree-Fock exchange.