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Randomly blinking nanocrystals have given rise to numerous and intensetheoretical and experimental investigations recently. An experimentalbreakthrough was finally made by fabricating the non-blinkingCd$_{1-x}$Zn$_x$Se/ZnSe graded nanocrystal [Nature 459 (2009) 686]. Here, wereport (1) an unequivocal and detailed theoretical investigation to understandthe properties of the potential-well and the distribution of Zn content withrespect to the nanocrystal radius and (2) develop a strategy to find therelationship between the photoluminescence (PL) energy peaks and thepotential-well due to Zn distribution in nanocrystals. We found that thenon-square-well potential can be varied in such a way that one can indeedcontrol the PL intensity and the energy-level difference (PL energy peaks) inany non-free-electron nanocrystals accurately. This implies that we can eithersuppress the blinking altogether, or alternatively, manipulate the PL energypeaks and intensities systematically to give non-random blinking. Ourtheoretical strategy developed here is generic and can be applied to anynon-free-electron nanocrystals.

Non-square-well potential profile and non-blinking effect in graded CdZnSe/ZnSe nanocrystals: An ionization-energy theoretic study