Six-band k⋅p calculation of strained InAs/GaAs quantum rings

In the effective mass approximation, electronic structures of InAs/GaAs quantum rings are studied by the six-band k⋅p model. In the description of the Hamiltonian matrix elements, a Fourier transform method is adopted to replace analytical integral method in the literature. We demonstrate the energy levels as functions of geometric parameters of the rings and compare our results with those obtained by analytical integral. The remarkable consistency in the comparison certifies our results. The outcomes of the six-band k⋅p model in this article are also compared with those of the four-band k⋅p model. It is found that both the bound state energies and the transition energy are lower in six-band calculation than those in four-band calculation, which is attributed to the spin–orbit splitting in the six-band k⋅p model.