Surface plasmon on graphene at finite $T$

Abstract

Using the recently developed polarization tensor in (2+1) dimensions for the electronic excitations of graphene, we investigate the influence of temperature on the surface plasmons on graphene. We consider non-zero mass gap, but zero chemical potential. Plasmons may exist for both polarizations, TE and TM, of the electromagnetic field. For TE, the momentum region, where the dispersion function is real, appears bounded from below, whereas for TM it is bounded from above. We discuss the similarities of these features with those found previously in the case with non-zero chemical potential, but zero temperature.