Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 118, Issue 34, Pages -Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.2104556118
Keywords
density functional theory; band gap; optimal tuning
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Funding
- US-Israel NSF-Binational Science Foundation (BSF) [DMR-1708892]
- Israel Ministry of Defense
- Office of Science of the US Department of Energy [DE-AC02-05CH11231]
- Extreme Science and Engineering Discovery Environment (XSEDE) supercomputer Stampede2 at the Texas Advanced Computing Center (TACC) [TG-DMR190070]
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This study presents a simple and inexpensive method to accurately predict fundamental band gaps of crystalline solid-state systems. The method, based on nonempirical optimal tuning of a screened range-separated hybrid functional, has been benchmarked against experiment and found to yield quantitative accuracy across a range of systems.
Accurate prediction of fundamental band gaps of crystalline solid-state systems entirely within density functional theory is a long-standing challenge. Here, we present a simple and inexpensive method that achieves this by means of nonempirical optimal tuning of the parameters of a screened range-separated hybrid functional. The tuning involves the enforcement of an ansatz that generalizes the ionization potential theorem to the removal of an electron from an occupied state described by a localized Wannier function in a modestly sized supercell calculation. The method is benchmarked against experiment for a set of systems ranging from narrow band-gap semiconductors to large band-gap insulators, spanning a range of fundamental band gaps from 0.2 to 14.2 electronvolts (eV), and is found to yield quantitative accuracy across the board, with a mean absolute error of similar to 0.1 eV and a maximal error of similar to 0.2 eV.
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