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Area of Science:

  • Computational materials science
  • Solid-state physics

Background:

  • Accurate prediction of electronic band gaps is crucial for designing new materials.
  • Hybrid density functionals are widely used but vary in computational cost and accuracy.

Purpose of the Study:

  • To evaluate and compare the performance of four popular hybrid density functionals (B3LYP, B3PW91, HSE, PBE0) for predicting band gaps.
  • To determine the most suitable functional for high-throughput band gap prediction.

Main Methods:

  • A consistent computational methodology was applied to a large benchmark set of semiconductors and insulators.
  • The accuracy of B3LYP, B3PW91, HSE, and PBE0 was assessed against experimental band gap data.

Main Results:

  • No significant statistical difference in overall performance was found among the functionals.
  • The screened hybrid HSE demonstrated higher accuracy for typical semiconductors.
  • Adjusting the short-range Hartree-Fock exchange in HSE improved accuracy for large band gap materials without compromising semiconductor predictions.

Conclusions:

  • Screened hybrid functionals, particularly HSE, are recommended for predicting band gaps due to their balance of accuracy and computational efficiency.
  • HSE provides a cost-effective solution for 'black box' band gap predictions in materials discovery.