Band structure and spin can modify the simple two-mode far-infrared spectra of quantum dots. In our investigation of these effects we start from a k{·}p Hamiltonian for the conduction, valence, and spin-orbit split-off bands, with potentials for subband formation and harmonic lateral confinement. Taking into account the nonparabolicity of the conduction band and spin-orbit coupling due to the confining potentials, we calculate the dipole excitation spectra of quantum dots on InSb with one and two electrons. Spin-orbit coupling leads to a level anticrossing in the ω_- mode and nonparabolicity modifies the ω₊ mode demonstrating violation of Kohn's theorem.
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Darnhofer et al. (1993) studied this question.
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