Multiexciton Auger Recombination Cascade

Pump a single semiconductor quantum dot with a strong optical pulse and it can hold several electron-hole pairs (excitons) at once. This simulator follows exactly one such nanocrystal through its stochastic decay: at every instant each surviving exciton competes between radiative recombination (photon emission, rate k_r) and Auger recombination (non-radiative energy transfer to a third carrier, rate γ_A scaled by the combinatorial N(N-1)(N-2)/2 factor of the multiexciton state). Because the Auger channel grows so much faster with N than the radiative one, high-order multiexciton states collapse almost instantly while the final single exciton lingers and decays purely by light emission — the mechanism behind quantum-dot blinking, LED efficiency droop, and lasing thresholds. Tune the dot radius to see the well-established inverse-volume Auger scaling law in action, watch electrons and holes annihilate pair by pair in 3D, and read the live population-decay trace.