Theoretical Studies of Electronic State Localization and Wormholes in Silicon Quantum Dot Arrays

We present calculations for quantum dot (QD) arrays that are more realistic than most. They describe the arrays in atomic detail, using pseudopotentials fit to ab initio results to describe the electronic structure. Our results show that simple models, which regard QDs as (artificial) atoms, are a reasonable approximation to employ for some features of QD array electronic localization characteristics. But we also demonstrate important limitations. The need for realistic theoretical descriptions of QD arrays is highlighted.