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Abstract
The off-diagonal element of the Luttinger Hamiltonian responsible for the coupling of heavy hole–light hole states has been calculated for symmetric/asymmetric semiconductor quantum dots. It has been found that the splitting arising due to finite off-diagonal elements of the Luttinger Hamiltonian and the size asymmetry of the quantum dot is counterbalanced. The numerical estimates made for CdSe/ZnSe quantum dot manifest minimal energy splitting when the size asymmetry parameter is around 0.3.
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