Customizing PBE Exchange-Correlation functionals: A comprehensive approach for band gap prediction in diverse semiconductors

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Main Authors: Bhattacharjee, Satadeep, Koshi, Namitha Anna, Lee, Seung-Cheol
Format: Preprint
Published: 2023
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author Bhattacharjee, Satadeep
Koshi, Namitha Anna
Lee, Seung-Cheol
author_facet Bhattacharjee, Satadeep
Koshi, Namitha Anna
Lee, Seung-Cheol
contents Accurate band gap prediction in semiconductors is crucial for materials science and semiconductor technology advancements. This paper extends the Perdew-Burke-Ernzerhof (PBE) functional for a wide range of semiconductors, tackling the exchange and correlation enhancement factor complexities within Density Functional Theory (DFT). Our customized functionals offer a clearer and more realistic alternative to DFT+U methods, which demand large negative U values for elements like Sulfur (S), Selenium (Se), and Phosphorus (P). Moreover, these functionals are more cost-effective than GW or Heyd-Scuseria-Ernzerhof (HSE) hybrid functional methods, therefore, significantly facilitating the way for unified workflows in analyzing electronic structure, dielectric constants, effective masses, and further transport and elastic properties, allowing for seamless calculations across various properties. We point out that such development could be helpful in the creation of comprehensive databases of band gap and dielectric properties of the materials without expensive calculations. Furthermore, for the semiconductors studied, we show that these customized functionals and the Strongly Constrained and Appropriately Normed semilocal density functional (SCAN) perform similarly in terms of the band gap.
format Preprint
id arxiv_https___arxiv_org_abs_2311_11702
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Customizing PBE Exchange-Correlation functionals: A comprehensive approach for band gap prediction in diverse semiconductors
Bhattacharjee, Satadeep
Koshi, Namitha Anna
Lee, Seung-Cheol
Materials Science
Accurate band gap prediction in semiconductors is crucial for materials science and semiconductor technology advancements. This paper extends the Perdew-Burke-Ernzerhof (PBE) functional for a wide range of semiconductors, tackling the exchange and correlation enhancement factor complexities within Density Functional Theory (DFT). Our customized functionals offer a clearer and more realistic alternative to DFT+U methods, which demand large negative U values for elements like Sulfur (S), Selenium (Se), and Phosphorus (P). Moreover, these functionals are more cost-effective than GW or Heyd-Scuseria-Ernzerhof (HSE) hybrid functional methods, therefore, significantly facilitating the way for unified workflows in analyzing electronic structure, dielectric constants, effective masses, and further transport and elastic properties, allowing for seamless calculations across various properties. We point out that such development could be helpful in the creation of comprehensive databases of band gap and dielectric properties of the materials without expensive calculations. Furthermore, for the semiconductors studied, we show that these customized functionals and the Strongly Constrained and Appropriately Normed semilocal density functional (SCAN) perform similarly in terms of the band gap.
title Customizing PBE Exchange-Correlation functionals: A comprehensive approach for band gap prediction in diverse semiconductors
topic Materials Science
url https://arxiv.org/abs/2311.11702