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  2. Noniterative Fermi-löwdin Orbitals For Self-interaction Correction.
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Noniterative Fermi-Löwdin Orbitals for Self-Interaction Correction.

Juan E Peralta1, Koblar A Jackson1, Mark R Pederson2

  • 1Department of Physics, Central Michigan University, Mount Pleasant, Michigan 48859, United States.

The Journal of Physical Chemistry. A
|February 20, 2026

View abstract on PubMed

Summary
This summary is machine-generated.

We developed a faster noniterative Fermi-Löwdin orbital self-interaction correction (NIFLOSIC) method. This approach efficiently corrects electronic structure calculations, improving accuracy for molecular properties without iterative steps.

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Area of Science:

  • Computational chemistry
  • Electronic structure theory
  • Quantum chemistry

Background:

  • Self-interaction error is a significant issue in density functional theory (DFT).
  • Traditional Fermi-Löwdin orbital self-interaction correction (FLOSIC) requires computationally expensive iterative relaxation of Fermi orbital descriptors (FODs).

Purpose of the Study:

  • To introduce a computationally efficient noniterative Fermi-Löwdin orbital self-interaction correction (NIFLOSIC) method.
  • To provide a scalable alternative to FLOSIC for large-scale electronic structure calculations.

Main Methods:

  • Developed NIFLOSIC by eliminating iterative FOD relaxation using selected columns of the density matrix localization scheme.
  • Utilized the relationship between the electron localization function and FODs.
  • Employed a generalized Kohn-Sham framework with full density relaxation to minimize the Perdew-Zunger energy functional.
  • Main Results:

    • NIFLOSIC generates localized orbitals and FODs in a single, noniterative step.
    • The method reproduces results from fully self-consistent FLOSIC calculations.
    • Significant reduction in computational cost compared to traditional FLOSIC.

    Conclusions:

    • NIFLOSIC offers a practical and scalable solution for self-interaction correction in electronic structure.
    • The method accurately improves frontier molecular orbital energies and dipole moments.
    • NIFLOSIC is suitable for large-scale applications despite total electronic energy not being ideal for thermochemistry.