A monolayer of graphene irradiated with circularly polarized light suggests a
unique platform for surface electromagnetic wave (plasmon-polariton)
manipulation. In fact, the time periodicity of the Hamiltonian leads to a
geometric Aharonov-Anandan phase and results in a photovoltaic Hall effect in
graphene, creating off-diagonal components of the conductivity tensor. The
latter drastically changes the dispersion relation of surface
plasmon-polaritons, leading to hybrid wave generation. In this paper we present
a systematic and self-contained analysis of the hybrid surface waves obtained
from Maxwell equations based on a microscopic formula for the conductivity. We
consider a practical example of graphene sandwiched between two dielectric
media and show that in the one-photon approximation there is formation of
propagating hybrid surface waves. From this analysis emerges the possibility of
a reliable experimental realization to study Zitterbewegung of charge carriers
of graphene.Comment: 9 pages, 4 figure