Title: Exploring the Theoretical Limits of Efficiency in Multilayer Solar Cells

Abstract: Photovoltaic materials are recognized for their potential as sustainable energy sources that enable the conversion between light and electrical energy. However, solar cells have been unable to surpass the theoretical limit of 32%, known as the Shockley-Queisser limit, and face challenges in effectively utilizing the broad spectrum of sunlight. To address this issue, extensive research is being conducted on multi-junction solar cells, which employ a layered structure comprising materials with varying bandgaps to more effectively harness the wide spectrum of sunlight. This study calculates the theoretical limit of these multi-junction solar cells and identifies optimal bandgap combinations, exploring new possibilities for photovoltaic devices and suggesting directions for technological advancement. The performance saw a 31% improvement when moving from a single layer to two layers, and a 12% improvement from two layers to three, with the average wavelength situated in the late 800nm range. The wavelength of the bottom layer increased by about 200nm, and that of the second layer by about 150nm. Our findings present new opportunities to surpass the current limitations of solar cell technology, potentially enhancing the economic feasibility and utility of solar energy as a sustainable source.