Efficient band gap prediction for solids.

Area of Science:

• Solid-state physics
• Computational materials science
• Quantum chemistry

Background:

• Predicting fundamental band gaps in solids is crucial for understanding and designing materials with specific electronic properties.
• Traditional density functional theory (DFT) methods often struggle with accurate band gap prediction.
• Existing methods require significant computational resources or suffer from inaccuracies.

Purpose of the Study:

• To develop an efficient and accurate method for predicting fundamental band gaps in solids.
• To generalize the Delta self-consistent-field (ΔSCF) method for application to infinite solid systems.
• To improve upon the accuracy of standard DFT calculations for band gaps.

Main Methods:

• The proposed Δ-sol method generalizes the Delta self-consistent-field (ΔSCF) approach to infinite solids.
• The method is based on calculating total-energy differences.
• It incorporates dielectric screening properties of electrons.
• Local and semilocal exchange-correlation functionals (LDA, GGAs) are employed.

Main Results:

• The Δ-sol method demonstrates a 70% reduction in mean absolute errors compared to Kohn-Sham gaps.
• Accuracy was validated on over 100 compounds with experimental band gaps ranging from 0.5 to 4 eV.
• The computational cost remains comparable to typical DFT calculations.

Conclusions:

• The Δ-sol method provides an efficient and accurate approach for predicting fundamental band gaps in solids.
• This advancement offers a valuable tool for computational materials science and solid-state physics research.
• The method shows significant improvement over standard DFT calculations, particularly when using local and semilocal functionals.