  We propose a method to overcome Auger recombination in nanocrystal quantum
dot lasers using cavity-enhanced spontaneous emission. We derive a numerical
model for a laser composed of nanocrystal quantum dots coupled to optical
nanocavities with small mode-volume. Using this model, we demonstrate that
spontaneous emission enhancement of the biexciton transition lowers the lasing
threshold by reducing the effect of Auger recombination. We analyze a photonic
crystal nanobeam cavity laser as a realistic device structure that implements
the proposed approach.
