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The relaxation of high-energy "hot" carriers in semiconductors is known toinvolve the redistribution of energy between (i) hot and cold carriers and (ii)hot carriers and phonons. Over the past few years, these two processes havebeen identified in lead-halide perovskites (LHPs) using ultrafast pump-probeexperiments, but the interplay between these processes is not fully understood.Here we present a comprehensive kinetic model to elucidate the individualeffects of the hot and cold carriers in bulk and nanocrystal $CsPbBr_{3}$ filmsobtained from "pump-push-probe" measurements. In accordance with our previouswork, we observe that the cooling dynamics in the materials decelerate as thenumber of hot carriers increases, which we explain through a "hot-phononbottleneck" mechanism. On the other hand, as the number of cold carriersincreases, we observe an acceleration of the cooling kinetics in the samples.We describe the interplay of these opposing effects using our model, and byusing series of natural approximations, reduce this model to a simple formcontaining terms for the carrier-carrier and carrier-phonon interactions. Themodel can be instrumental for evaluating the details of carrier cooling andelectron-phonon couplings in a broad range of LHP optoelectronic materials.

Kinetic modelling of carrier cooling in lead halide perovskite materials