Long-range plasmon-assisted energy transfer over doped graphene

We demonstrate that longitudinal plasmons in doped monolayer graphene can mediate highly efficient long-range energy transfer between nearby fluorophores, e.g., semiconductor quantum dots. We derive a simple analytical expression for the energy transfer efficiency that incorporates all the essential processes involved. We perform numerical calculations of the transfer efficiency for a pair of PbSe quantum dots near graphene for inter-fluorophore distances of up to 1 $\mu$m and find that the plasmon-assisted long-range energy transfer can be enhanced by up to a factor of $\sim10^4$ relative to the F\"{o}rster's transfer in vacuum.