Article ID: | iaor20133996 |
Volume: | 81 |
Issue: | 1 |
Start Page Number: | 191 |
End Page Number: | 211 |
Publication Date: | Aug 2013 |
Journal: | Journal of Engineering Mathematics |
Authors: | Edwards D, Reid W, Doty M |
Keywords: | engineering, design |
Intermediate‐band solar cells using quantum dot arrays (QDAs) are theoretically predicted to significantly increase the efficiency with which solar energy can be harvested. In the limit of identical quantum dots, the wavefunction for electrons in a QDA will be fully delocalized. Fully delocalized wavefunctions have been theoretically shown to reduce thermal losses and consequently increase photovoltaic device efficiency. However, even small nonuniformities can cause electrons to localize in a single quantum dot, negating any advantages from delocalized states. In this work a modified Schrödinger equation is used to model a two‐dot array with nonuniform quantum dots and solved using perturbation methods. This result is extended to