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The nanoscale periodic potentials introduced by moir\'{e} patterns insemiconducting van der Waals (vdW) heterostructures provide a new platform fordesigning exciton superlattices. To realize these applications, a thoroughunderstanding of the localization and delocalization of interlayer excitons inthe moir\'{e} potentials is necessary. Here, we investigated interlayer excitondynamics and transport modulated by the moir\'{e} potentials in WS$_2$-WSe$_2$heterobilayers in time, space, and momentum domains using transient absorptionmicroscopy combined with first-principles calculations. Experimental resultsverified the theoretical prediction of energetically favorable K-Q interlayerexcitons and unraveled exciton-population dynamics that was controlled by thetwist-angle-dependent energy difference between the K-Q and K-K excitons.Spatially- and temporally-resolved exciton-population imaging directlyvisualizes exciton localization by twist-angle-dependent moir\'{e} potentialsof ~100 meV. Exciton transport deviates significantly from normal diffusion dueto the interplay between the moir\'{e} potentials and strong many-bodyinteractions, leading to exciton-density- and twist-angle-dependent diffusionlength. These results have important implications for designing vdWheterostructures for exciton and spin transport as well as for quantumcommunication applications.

Anomalous Interlayer Exciton Diffusion in Twist-Angle-Dependent Moir\'{e} Potentials of WS$_2$-WSe$_2$ Heterobilayers