We theoretically study the electromagnetic energy transfer between donor and acceptor molecules near a graphene waveguide. The surface plasmons (SPs) supported by the structure provide decay channels which lead to an improvement in the energy transfer rate when the donor and acceptor are localized on the same side or even on opposite sides of the waveguide. The modification of the energy transfer rate compared to its value in absence of the waveguide are calculated by deforming the integration path into a suitable path in the complex plane. Our results show that this modification is dramatically enhanced when the symmetric and antisymmetric SPs are excited. Notable effects on the spatial dependence of the energy transfer due to the coherent interference between these SP channels, which can be tuned by chemical potential variations, are highlighted and discussed in terms of SP propagation characteristics.

This work analyzes the electromagnetic energy transfer rate between donor and acceptor quantum emitters close to a graphenecoated wire. We discuss the modification of the energy transfer rate when the emitters are interfaced via surface plasmon (SP) environments. All of the notable effects on the spatial dependence of the energy transfer are highlighted and discussed in terms of SP propagation characteristics. Our results show that a dramatically enhancement of the energy transfer occur when the graphene wire SPs are excited. Moreover, different dipole moment orientations influence differently this enhancement. As a consequence of the quasi-one-dimensional graphene wire SPs, we found that the normalized energy transfer rate reaches a maximum value at a donor-acceptor distance which is twice the value corresponding to its two-dimensional counterpart consisting of a single graphene sheet or a flat graphene waveguide. In particular, we provide a simplified model that reproduces the main features of the numerical results.