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Size Related Contribution to Electron Energy of the Quantum Ring

I. Filikhin, E. Deyneka, H.M. Melikian and B. Vlahovic
North Carolina Central University, US

semiconductor quantum dots and rings, electron and optical properties

The semiconductor quantum ring (QR) is studied under energy dependent effective mass approximation. The 3D ground state (confined) energy problem is solved numerically by the finite element method in a single subband approach. We obtained the general relation for the size dependence of the QR confinement energy. Several cases related to experimentally achievable QR/substrate configurations of InAs/GaAs, Ge/Si, and CdTe/CdS were studied. We found that the non-parabolic effect considerably alters the energy of the electron states, especially when the height and the width of QR are relatively small. QR confined energy problem in an external magnetic field was also solved in order to compare relative contributions of the external magnetic field and size factors. It is shown that size-dependent energy variations can dominate the effect caused by the magnetic field.

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