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Using the electron localization function to correct for confinement physics in semi-local density functional theory.

Feng Hao1, Rickard Armiento2, Ann E Mattsson1

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|May 17, 2014
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Summary
This summary is machine-generated.

Improved density functional theory (DFT) functionals can be developed using a subsystem functional scheme. A harmonic oscillator model and electron localization function (ELF) identify regions needing corrections for more accurate DFT calculations.

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Area of Science:

  • Computational Chemistry
  • Materials Science
  • Quantum Mechanics

Background:

  • Density Functional Theory (DFT) functionals require accurate models for electron gas behavior.
  • Existing Armiento-Mattsson functionals utilize uniform and surface electron gas models.
  • Strongly confined electron gas regions present challenges for current DFT functionals.

Purpose of the Study:

  • To propose an improved DFT functional construction scheme.
  • To identify regions in space requiring corrections for electron confinement.
  • To evaluate the efficacy of a harmonic oscillator model and electron localization function (ELF) for this purpose.

Main Methods:

  • Utilized a subsystem functional scheme based on the Armiento-Mattsson approach.
  • Employed a harmonic oscillator model for strongly confined electron gas.
  • Used the electron localization function (ELF) as an index for localized electrons.
  • Investigated monoclinic cupric oxide (CuO) as a physical system example.

Main Results:

  • High ELF values correlate with regions of significant error in common exchange energy functionals.
  • The harmonic oscillator model and ELF provide key components for improved semi-local functionals.
  • Monoclinic CuO exhibits high ELF values around oxygen ions and along Cu-O bonds.
  • Estimated exchange functional errors in CuO align with observed cell geometry inaccuracies.

Conclusions:

  • The proposed scheme, integrating a confined electron gas model and ELF, offers a pathway to enhanced DFT functionals.
  • Monoclinic CuO serves as a valuable benchmark for testing future semi-local functionals.
  • Electron confinement effects in specific regions can explain existing errors in DFT calculations for materials like CuO.