arXiv · cond-mat/0308029
Shallow Deep Transitions of Neutral and Charged Donor States in Semiconductor Quantum Dots
Abstract
We carry out a detailed investigation of neutral ($D^0$) and charged ($D^-$) impurity states of hydrogen-like donors in spherical semiconductor quantum dots. The investigation is carried out within the effective mass theory (EMT). We take recourse to local density approximation (LDA) and the Harbola-Sahni (HS) schemes for treating many-body effects. We experiment with a variety of confining potentials: square, harmonic and triangular. We observe that the donor level undergoes shallow to deep transition as the dot radius ($R$) is reduced. On further reduction of the dot radius it becomes shallow again. We term this non-monotonic behaviour \textbf{SHADES}. This suggests the possibility of carrier {\textbf{\textit{``freeze out''}}} for both $D^0$ and $D^-$. Further, our study of the optical gaps also reveals a {\textbf{SHADES}} transition.
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R. K. Pandey, Manoj K. Harbola, Vijay A. Singh. 2003-12-19. Shallow Deep Transitions of Neutral and Charged Donor States in Semiconductor Quantum Dots. https://doi.org/10.1103/physrevb.70.193308
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