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Does correlated orbital theory improve PBE-like functionals?

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Correlated Orbital Theory (COT) improves Kohn-Sham Density Functional Theory (KS-DFT) by incorporating electron correlation. Applying COT to hybrid functionals like PBE0 enhances their accuracy for various chemical properties.

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Area of Science:

  • Quantum Chemistry
  • Computational Materials Science
  • Theoretical Physics

Background:

  • Correlated Orbital Theory (COT) offers an exact one-particle framework for electronic structure calculations.
  • COT imposes physical constraints on Kohn-Sham eigenvalues, directly including electron correlation in molecular orbitals.
  • This advances Kohn-Sham Density Functional Theory (KS-DFT) approximations.

Purpose of the Study:

  • To investigate if Correlated Orbital Theory (COT) can enhance hybrid exchange-correlation functionals beyond CAM-B3LYP.
  • To explore optimization strategies for PBE0, TPSS0, and LC-PBE0 using COT.
  • To assess the impact of COT on fundamental KS-DFT challenges and chemical properties.

Main Methods:

  • Implemented two optimization strategies: ionization potential and HOMO-LUMO conditions.
  • Applied these strategies to adjust parameters in PBE0, TPSS0, and LC-PBE0 functionals.
  • Evaluated performance against the KS-DFT "Devil's Triangle" (self-interaction error, integer discontinuity, spectra) and properties like charge transfer and reaction barriers.

Main Results:

  • Enforcing COT conditions systematically improved the performance of PBE-family functionals.
  • The ionization potential and HOMO-LUMO conditions effectively addressed self-interaction error and integer discontinuity.
  • Charge transfer properties showed significant enhancement under COT.

Conclusions:

  • Correlated Orbital Theory (COT) provides a viable route to improve hybrid functionals within KS-DFT.
  • COT-optimized functionals demonstrate enhanced accuracy for electronic structure and charge transfer.
  • Further refinement is needed for accurate prediction of reaction barrier heights.