  This work analyzes the electromagnetic energy transfer rate between donor and
acceptor quantum emitters close to a graphene-coated 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.
