Abstract:
In the adiabatic approximation in the context of the modified effective mass approach, in which the reduced exciton effective mass
$\mu=\mu(a)$ is a function of the radius a of the semiconductor quantum dot, an expression for the exciton binding energy $E_{\mathrm{ex}}(a)$ in the quantum dot is derived. It is found that, in the CdSe and CdS quantum dots with the radii a comparable to the Bohr exciton radii $a_{\mathrm{ex}}$, the exciton binding energy $E_{\mathrm{ex}}(a)$ is substantially (respectively, 7.4 and 4.5 times) higher than the exciton binding energy in the CdSe and CdS single crystals.
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