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Multiconfigurational short-range on-top pair-density functional theory.

Frederik Kamper Jørgensen1, Erik Rosendahl Kjellgren1, Hans Jørgen Aagaard Jensen1

  • 1Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark.

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Summary
This summary is machine-generated.

We introduce a new computational model, multiconfigurational self-consistent on-top pair-density functional theory (MC-srPDFT), that accurately describes strongly correlated systems. This advanced method overcomes limitations of previous density functional theory approaches, improving calculations for molecular systems.

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Materials Science

Background:

  • Existing density functional theory (DFT) methods, including multiconfigurational short-range DFT (MC-srDFT), face challenges like self-interaction errors and incorrect energy degeneracies for certain molecular states.
  • These deficiencies limit the accurate description of strongly correlated electronic systems and excited states.

Purpose of the Study:

  • To present the theory and implementation of a novel, fully variational hybrid model: multiconfigurational self-consistent on-top pair-density functional theory (MC-srPDFT).
  • To address and correct the limitations of previous MC-srDFT models, particularly concerning self-interaction errors and state degeneracies.

Main Methods:

  • Developed a fully variational hybrid model using on-top pair density as an auxiliary variable, replacing spin density.
  • Employed a long-range version of the on-top pair density and a second-order optimization algorithm for robust convergence.
  • Applied the MC-srPDFT model to calculate ground and excited states for various molecules, including H2, N2, Cr2, and ethene.

Main Results:

  • The MC-srPDFT model successfully corrects self-interaction errors and ensures correct degeneracy between different spin states at dissociation.
  • Calculations for H2, N2, Cr2, and ethene demonstrate the model's accuracy for ground and excited states, including dissociation curves and rotational barriers.
  • Results showed invariance to the choice of the MS value for triplet curves, indicating model robustness.

Conclusions:

  • MC-srPDFT offers a significant advancement in computational chemistry, providing accurate descriptions for challenging strongly correlated systems.
  • The model's ability to overcome DFT limitations opens new possibilities for studying complex molecular properties and reactions.
  • This work establishes MC-srPDFT as a reliable tool for both ground and excited-state calculations in quantum chemistry.