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Overcoming the detrimental effect of disorder at the nanoscale is very hardsince disorder induces localization and an exponential suppression of transportefficiency. Here we unveil novel and robust quantum transport regimesachievable in nanosystems by exploiting long-range hopping. We demonstrate thatin a 1D disordered nanostructure in the presence of long-range hopping,transport efficiency, after decreasing exponentially with disorder at first, isthen enhanced by disorder [disorder-enhanced transport (DET) regime] until,counterintuitively, it reaches a disorder-independent transport (DIT) regime,persisting over several orders of disorder magnitude in realistic systems. Toenlighten the relevance of our results, we demonstrate that an ensemble ofemitters in a cavity can be described by an effective long-range Hamiltonian.The specific case of a disordered molecular wire placed in an optical cavity isdiscussed, showing that the DIT and DET regimes can be reached withstate-of-the-art experimental setups.

Disorder-Enhanced and Disorder-Independent Transport with Long-Range Hopping: Application to Molecular Chains in Optical Cavities