Abstract
A systematic investigation is given about the effects of the longitudinal and transverse periodic distributions on the elastic strain field. The results show that the influences of the longitudinal and transverse period on the strain field are just opposite, especially for the path along the center-axis of the quantum dots. In the proper conditions, the influence of periodicity on strain field distribution can be partly eliminated. The results demonstrate that when calculating the effect of the strain field on the electronic structure, one must take the quantum dots periodic distribution into account. It is unsuitable to use the isolated quantum dot model in simulating the strain field and evaluate the influence on electronic structure.
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