Abstract
A three-dimensional model of $\mathrm{In}\mathrm{As}∕\mathrm{Ga}\mathrm{As}$ quantum rings based on a single sub-band approach with an energy dependence of the electron effective mass is used to describe the capacitance-voltage spectroscopy by Lorke et al. [Phys. Rev. Lett. 84, 2223 (2000)]. The confinement states energy problem is solved numerically using the finite elements method. Observed deviation of an electron effective mass from the bulk value is explained by the nonparabolic effect. Additional energy of the election ground state due to an external magnetic field is estimated and compared with the capacitance-voltage data. The model is also applied to describe the far-infrared measurements.
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