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10.3390/ma14071639
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Article

Optical Bandgap Definition via a Modified Form of Urbach’s Rule

by
Mithun Bhowmick
1,*,
Haowen Xi
2 and
Bruno Ullrich
3
1
Department of Mathematical and Physical Sciences, Miami University, Middletown, OH 45042, USA
2
Department of Physics and Astronomy, Bowling Green State University, Bowling Green, OH 43403, USA
3
Ullrich Photonics LLC, Manistique, MI 49854, USA
*
Author to whom correspondence should be addressed.
Materials 2021, 14(7), 1639; https://doi.org/10.3390/ma14071639
Submission received: 23 February 2021 / Revised: 24 March 2021 / Accepted: 25 March 2021 / Published: 27 March 2021
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Abstract

We are reporting an esoteric method to determine the optical bandgap of direct gap materials by employing Urbach’s rule. The latter, which describes the slope of the band tail absorption in semiconductors, in its original version, cannot be employed to pinpoint the optical bandgap. Herein, however, we show that a modified form of Urbach’s rule defines the optical bandgap, and therefore, enables the accurate determination of the optical bandgap energy, which turns out to be identical with the threshold energy for the band tail absorption. The model further produces an explicit expression for the absorption coefficient at the optical bandgap energy.
Keywords: Urbach rule; optical bandgap; semiconductors; InAs; InP; GaAs; InSb Urbach rule; optical bandgap; semiconductors; InAs; InP; GaAs; InSb

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MDPI and ACS Style

Bhowmick, M.; Xi, H.; Ullrich, B. Optical Bandgap Definition via a Modified Form of Urbach’s Rule. Materials 2021, 14, 1639. https://doi.org/10.3390/ma14071639

AMA Style

Bhowmick M, Xi H, Ullrich B. Optical Bandgap Definition via a Modified Form of Urbach’s Rule. Materials. 2021; 14(7):1639. https://doi.org/10.3390/ma14071639

Chicago/Turabian Style

Bhowmick, Mithun, Haowen Xi, and Bruno Ullrich. 2021. "Optical Bandgap Definition via a Modified Form of Urbach’s Rule" Materials 14, no. 7: 1639. https://doi.org/10.3390/ma14071639

APA Style

Bhowmick, M., Xi, H., & Ullrich, B. (2021). Optical Bandgap Definition via a Modified Form of Urbach’s Rule. Materials, 14(7), 1639. https://doi.org/10.3390/ma14071639

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