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Spin migration in density functional theory: Energy, potential, and density perspectives.

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Density functional theory (DFT) calculations of magnetic materials require accurate spin dependence. This study reveals deviations in standard DFT functionals, highlighting issues with strong correlation and proposing improvements for magnetic property predictions.

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Area of Science:

  • Computational Chemistry
  • Quantum Mechanics
  • Materials Science

Background:

  • Spin is a critical property for understanding magnetic materials and molecular magnetism.
  • Density functional theory (DFT) is widely used, but accurately describing spin dependence remains a challenge, particularly for strongly correlated systems and molecular dissociation.
  • Existing exchange-correlation approximations in DFT often deviate from exact theoretical behavior concerning spin.

Purpose of the Study:

  • To investigate the behavior of energy, frontier orbitals, potentials, and electron density with respect to fractional spin in atomic systems using DFT.
  • To analyze deviations from exact theoretical predictions across various standard exchange-correlation functionals.
  • To assess the impact of computational approximations, such as the spherical approximation in atoms, on spin-dependent properties.

Main Methods:

  • Analysis of energy, Kohn-Sham (KS) orbitals, KS potentials, and electron density as a function of fractional spin.
  • Evaluation of seven standard exchange-correlation functionals.
  • Comparison between the optimized effective potential (OEP) method within the KS scheme and the generalized KS (GKS) approach.
  • Investigation of the necessity of full three-dimensional treatment for high-spin systems.

Main Results:

  • Two primary scenarios of deviation from exact spin dependence were identified across the tested functionals.
  • A jump in frontier orbital energies and a plateau in the KS potential were observed with spin variation for exact exchange and hybrid functionals using the OEP method.
  • No such jumps were found when using the GKS approach, aligning with theoretical expectations.
  • The spherical approximation commonly applied to atoms was found to cause qualitative deviations for high-spin systems, underscoring the need for full 3D treatment.

Conclusions:

  • Standard DFT functionals exhibit significant deviations in their spin-dependent behavior, particularly concerning orbital energies and potentials.
  • The choice of computational scheme (KS with OEP vs. GKS) critically influences the observation of these spin-dependent artifacts.
  • Accurate modeling of magnetic properties necessitates careful consideration of spin effects and potentially improved functionals, especially for high-spin systems where dimensionality matters.