  Environment-assisted quantum transport (ENAQT) is a unique situation where
environmental noise can, counterintuitively, enhance the transport of an open
quantum system. In this Letter, we investigate how the presence of a
one-dimensional single-particle mobility edge can generate strong ENAQT. For
this purpose, we study the energy current of a generalized Aubry-Andre-Harper
(AAH) tight binding model coupled at its edges to spin baths of differing
temperature and dephasing noise along the system. We find that the ENAQT
increases by orders of magnitude and depends on the number of localized
eigenstates and disorder strength nonmonotonically. We show that this
enhancement is the result of the cooperative interplay between population
spread and localization.
