Exciton states and interband absorption of cylindrical quantum dot with Morse confining potential

•Cylindrical quantum dot with Morse potential is studied.•For strong and weak size quantization regimes analytic expressions for the particle energy spectrum are obtained.•Dependance of absorption coefficient on sizes of quantum dot is obtained.•The selection rules corresponding to different transitions between quantum levels are found.

In this paper the exciton and electron sates in cylindrical quantum dot with Morse potential made of GaAs are studied. For the regime of strong size quantization, energy spectrum with the parabolic approximation case are compared. For strong and weak size quantization regimes analytic expressions for the particle energy spectrum, absorption coefficient and dependencies of effective threshold frequencies of absorption on the geometrical parameters quantum dot are obtained. For the intermediate size quantization regime the problem solved in the framework of variation method. The selection rules corresponding to different transitions between quantum levels are found. The size dispersion distribution of growing quantum dots by the radius and height by two experimentally realizing distribution functions have been taken into account. Distribution functions of Gauss, Lifshits-Slezov have been considered.

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