,A Bound State of a Positively Charged Exciton in Quantum Dots

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Using the method of few-body physics, we obtain the relation between the correlation energies of the low-lying states of the positively charged exciton X+ and the radius of quantum dots. We also calculate the binding energies of the ground state of a positively charged exciton as a function of the electron-to-hole mass ratio for a few values of the strength of the confinement. We find that there exists a critical mass ratio σc, such that if σ > σc (σ < σc) the X+ configuration is stable (unstable), and σc increases as the strength of the confinement increases.
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