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Title: Resolution of the Band Gap Prediction Problem for Materials Design

An important property with any new material is the band gap. Standard density functional theory methods grossly underestimate band gaps. This is known as the band gap problem. Here in this paper, we show that the hybrid B3PW91 density functional returns band gaps with a mean absolute deviation (MAD) from experiment of 0.22 eV over 64 insulators with gaps spanning a factor of 500 from 0.014 to 7 eV. The MAD is 0.28 eV over 70 compounds with gaps up to 14.2 eV, with a mean error of -0.03 eV. To benchmark the quality of the hybrid method, we compared the hybrid method to the rigorous GW many-body perturbation theory method. Surprisingly, the MAD for B3PW91 is about 1.5 times smaller than the MAD for GW. Furthermore, B3PW91 is 3-4 orders of magnitude faster computationally. Hence, B3PW91 is a practical tool for predicting band gaps of materials before they are synthesized and represents a solution to the band gap prediction problem.
Authors:
 [1] ;  [1] ;  [1]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States). Materials and Process Simulation Center
Publication Date:
Grant/Contract Number:
SC0004993
Type:
Published Article
Journal Name:
Journal of Physical Chemistry Letters
Additional Journal Information:
Journal Volume: 7; Journal Issue: 7; Journal ID: ISSN 1948-7185
Publisher:
American Chemical Society
Research Org:
California Inst. of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org:
USDOE; National Science Foundation (NSF)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE
OSTI Identifier:
1328820
Alternate Identifier(s):
OSTI ID: 1436091

Crowley, Jason M., Tahir-Kheli, Jamil, and Goddard, William A.. Resolution of the Band Gap Prediction Problem for Materials Design. United States: N. p., Web. doi:10.1021/acs.jpclett.5b02870.
Crowley, Jason M., Tahir-Kheli, Jamil, & Goddard, William A.. Resolution of the Band Gap Prediction Problem for Materials Design. United States. doi:10.1021/acs.jpclett.5b02870.
Crowley, Jason M., Tahir-Kheli, Jamil, and Goddard, William A.. 2016. "Resolution of the Band Gap Prediction Problem for Materials Design". United States. doi:10.1021/acs.jpclett.5b02870.
@article{osti_1328820,
title = {Resolution of the Band Gap Prediction Problem for Materials Design},
author = {Crowley, Jason M. and Tahir-Kheli, Jamil and Goddard, William A.},
abstractNote = {An important property with any new material is the band gap. Standard density functional theory methods grossly underestimate band gaps. This is known as the band gap problem. Here in this paper, we show that the hybrid B3PW91 density functional returns band gaps with a mean absolute deviation (MAD) from experiment of 0.22 eV over 64 insulators with gaps spanning a factor of 500 from 0.014 to 7 eV. The MAD is 0.28 eV over 70 compounds with gaps up to 14.2 eV, with a mean error of -0.03 eV. To benchmark the quality of the hybrid method, we compared the hybrid method to the rigorous GW many-body perturbation theory method. Surprisingly, the MAD for B3PW91 is about 1.5 times smaller than the MAD for GW. Furthermore, B3PW91 is 3-4 orders of magnitude faster computationally. Hence, B3PW91 is a practical tool for predicting band gaps of materials before they are synthesized and represents a solution to the band gap prediction problem.},
doi = {10.1021/acs.jpclett.5b02870},
journal = {Journal of Physical Chemistry Letters},
number = 7,
volume = 7,
place = {United States},
year = {2016},
month = {3}
}