Self-interaction correction and the optimized effective potential.

Area of Science:

• Quantum Chemistry
• Computational Physics
• Materials Science

Background:

• Self-interaction error is a significant challenge in current density functional theory (DFT) approximations.
• The Perdew-Zunger self-interaction correction (SIC) is a common but flawed approach, leading to explicit orbital dependence and unitary variance.
• These issues complicate accurate electronic structure calculations.

Purpose of the Study:

• To present a generalized optimized effective potential (OEP) equation.
• To simultaneously address explicit orbital dependence and unitary variance in DFT.
• To provide a more robust method for self-interaction correction.

Main Methods:

• Developed a generalized formulation of the optimized effective potential (OEP) equation.
• Incorporated a method to handle both explicit orbital dependence and unitary transformation variance.
• Applied the new approach to molecular calculations.

Main Results:

• The generalized OEP equation effectively manages the complexities arising from explicit orbital dependence.
• The method demonstrates the capability to resolve issues related to unitary transformations of orbitals.
• Initial calculations on molecules show promising results for the proposed approach.

Conclusions:

• The developed generalized OEP offers a unified solution to persistent problems in DFT.
• This approach potentially improves the accuracy and reliability of electronic structure calculations.
• Further investigations and applications are warranted to fully explore its potential.