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Jain, S.C. and Roulston, D.J. (1991) A Simple Expression for Band Gap Narrowing in Heavily Doped Si, Ge, GaAs and Ge_xSi_1-x Strained Layers. Solid-State Electronics, 34, 453-465.
https://doi.org/10.1016/0038-1101(91)90149-s

has been cited by the following article:

• TITLE: Numerical Analysis of Donor-Induced Band Gap Narrowing in InGaN Alloys for Photovoltaic Applications

  AUTHORS: Sada Traore, Philippe Bernard Himbane, Moustapha Thiame

  KEYWORDS: InGaN, Solar Cells, Band Gap Narrowing, Indium Molar Fraction, Cutoff Wavelength, III-Nitride Semiconductors

  JOURNAL NAME: Journal of Surface Engineered Materials and Advanced Technology, Vol.16 No.1, January 30, 2026

  ABSTRACT: This paper presents a systematic numerical analysis of the Band Gap Narrowing (BGN) effect in indium gallium nitride (InGaN) solar cells for two indium molar fractions (x = 0.12 and x = 0.28) at T = 300 K. By sweeping the donor doping concentration N from 1016 to 3 × 1018 cm?3, we quantify the reduction of the effective band gap energy (Egeff) and the resulting red-shift of the optical cutoff wavelength (λcut). Results show that BGN intensifies non-linearly with doping and is systematically more pronounced for higher indium content. At the highest doping level (3 × 1018 cm?3), λcut shifts by +154 nm for x = 0.12 and by +378 nm for x = 0.28, extending absorption deep into the visible spectrum. These findings underline the necessity of a careful trade-off between spectral coverage and material quality degradation in the design of high-efficiency InGaN photovoltaic devices.