Adiabatic description of the electroabsorption in strongly prolate and oblate conical quantum dots

In the framework of the adiabatic approximation strongly prolate and oblate conical quantum dots in the external electric field have been investigated. Analytical expressions for the particle wave function and energy spectrum are obtained for both cases. The dependencies of the absorption edge on the geometrical parameters and external field strength of conical quantum dots have been obtained. Selection rules are revealed for transitions between levels with different quantum numbers. The absorption coefficient dependence on the frequency of the incident light is revealed taking into account dispersion of conical quantum dot's base radius for Gaussian distribution function. Dependence of the absorption coefficient on the incident light for the different values of electric field (light hole to electron transitions) (in case of strongly prolate CQD). [Display omitted] •Strongly prolate and oblate conical quantum dots in an electric field are investigated within the adiabatic approximation.•For both cases, analytical expressions are obtained for the wave function and the energy spectrum of the particle.•The selection rules for transitions between levels with different quantum numbers are revealed.•The dependence of the absorption coefficient on the frequency of the incident light is revealed.