Modeling and Optimization of an In<sub>x</sub>Ga<sub>1-</sub><sub>x</sub>N Solar Cell Subjected to a Magnetic Field Under Monochromatic Illumination

This work focuses on the modeling and optimization of an InxGa(1-x)N based on photovoltaic cell subjected to a magnetic field under monochromatic illumination. Using a mathematical model adapted to our photovoltaic cell, we solved the continuity equation for excess minority carriers in the base in the presence of the magnetic field. This solution enabled us to determine several fundamental parameters of the photovoltaic cell as a function of the intensity of the applied magnetic field, including: the density of excess minority carriers in the base, the short-circuit current (Jcc), the open-circuit voltage (Voc), the power (P), the form factor (FF), and the efficiency (η). We then conducted a numerical simulation to optimize the indium fraction (x) as a function of the applied magnetic field and evaluate the impact of the latter on electrical performance, in particular power and efficiency. Analysis of the results shows that low magnetic field values (B≤ 10<sup>-3</sup> T) have virtually no effect on the efficiency of the photovoltaic cell. However, efficiency gradually decreases for more intense fields (B > 10<sup>-3</sup> T). The best performance of the photovoltaic cell was obtained for an indium fraction x = 0.5 and a base thickness H=0.2µm. These optimal conditions result in a maximum efficiency η = 28.40%, with a short-circuit current Jcc = 0.024 A.cm<sup>-2</sup>, an open-circuit voltage Voc = 1.3 V, and a form factor FF = 90.2%. This efficacy value obtained is close to the 28.53% value reported by F. B. Pelap et al (2021), suggesting good agreement between studies.