We report on the mechanism of hopping for bound excitons under an energy gradient. By means of a Monte-Carlo simulation, we show that this mechanism explains the movement of bound excitons observed experimentally. We show that the speed of the excitons decreases quickly with temperature. Thanks to an effective medium approximation, we deduce an analytical model to estimate the average speed at T ¼ 0 K. Finally, we compare our simulations results to the speed observed in bent ZnO wires and find a good agreement between theory and experiments. V C 2014 AIP Publishing LLC. [http://dx.doi.org/10.1063/1.4863319] The ability to tune the strain in different structures is interesting for many applications such as the enhancement of the mobility in transistors 1 or the engineering of the optical polarization properties of heterostructures.2,3 Recently, it has been shown that it is possible to design nano/microstructures to obtain a strain gradient and control the motion of excitons. 4,5 In particular, bent nanowires have gained considerable attention because of the possibility to tune the bandgap without plastic relaxation.6-8 For instance, it has been recently demonstrated that excitons can move because of the strain gradient induced by the bending of a wire. However, at T ¼ 10 K at which the experiments are performed, the photoluminescence of ZnO wires is dominated by the emission coming from the donor bound exciton (D X). Thus, experimental evidence indicates that donor bound excitons are drifted by the strain gradient, against simple views implied by their name: "donor bound exciton."The motion of bound excitons has already been observed in inhomogeneous materials such as GaAsP:N, 10,11 InGaN, 12 and MgZnO alloys. 13 In these random alloys, the transfer of such excitons from one donor to another is driven by the tunneling of exciton to lower states. The same mechanism has been observed and successfully described by a stochastic model of exciton transfer in homogeneous GaP with well-defined impurities levels.14 However, in such samples, the random distribution of lowest states makes it difficult to obtain an accurate estimation of the characteristic time for the exciton to jump from one donor to the other.The strain-induced energy gradient in bent micro/nanowires directly builds a "donor ladder" as observed in the scheme of Figure 1. Indeed, because of the continuous change of bandgap energy, the relative positions of donors are sorted by energy along the strain gradient. This arrangement of donors gives the possibility to get an accurate estimation of the hopping rate of excitons, unlike in the case of inhomogeneous materials.In this Letter, we propose a model for the hopping process of donor bound excitons in the presence of an energy gradient. We compute the exciton dynamics by means of Monte-Carlo (MC) simulations taking into account the probability for the transfer of an exciton from a donor to another. We compare the case of zero temperature to the case of a nonzero temperature and show that the mean speed shoul...