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The Zeeman splitting of the first excited level of a two-dimensional parabolic GaAs quantum dot is studied perturbatively in the presence of the polaronic interaction. It is shown that the Zeeman effect is suppressed considerably in a GaAs quantum dot because of the polaronic effect and becomes strongly size dependent if the dot size is reduced below a few nanometers.
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Mukhopadhyay et al. (1999) studied this question.
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