Quantum-confined and pseudo Stark effects in the semiconductor conical quantum dot

Electronic states in a GaAs conical quantum dot (QD) are theoretically investigated within the framework of the geometric adiabatic approximation both in the strong and weak quantum confinement regimes. For the lower levels of the spectrum, the localization of the electron in the vicinity of the QD center-of-gravity is proved. The QD conical symmetry leads to the appearance of an atypical linear term in the effective confining potential. The influence of a uniform electric field on the system is also considered, and both the quantum-confined and pseudo- Stark effects are discussed. The possibility of the quasi-continuous spectrum implementation in the system is revealed in the presence of an electric field. For the weak quantum confinement regime, the motion of the exciton's center-of-gravity is quantized, which leads to the appearance of additional Coulomb sub-levels.