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Tightly bound excitons in monolayer semiconductors represent a versatileplatform to study two-dimensional propagation of neutral quasiparticles. Theirintrinsic properties, however, can be severely obscured by spatial energyfluctuations due to a high sensitivity to the immediate environment. Here, wetake advantage of the encapsulation of individual layers in hexagonal boronnitride to strongly suppress environmental disorder. Diffusion of excitons isthen directly monitored using time- and spatially-resolved emission microscopyat ambient conditions. We consistently find very efficient propagation withlinear diffusion coefficients up to 10\,cm$^2$/s, corresponding to roomtemperature effective mobilities as high as 400\,cm$^2$/Vs as well as acorrelation between rapid diffusion and short population lifetime. At elevateddensities we detect distinct signatures of many-particle interactions andconsequences of strongly suppressed Auger-like exciton-exciton annihilation. Acombination of analytical and numerical theoretical approaches is employed toprovide pathways towards comprehensive understanding of the observed linear andnon-linear propagation phenomena. We emphasize the role of dark exciton statesand present a mechanism for diffusion facilitated by free electron hole plasmafrom entropy-ionized excitons.

Exciton diffusion in monolayer semiconductors with suppressed disorder