Abstract: Surface plasmon polaritons are hybrid excitation modes of photons and electrons in metals and doped semiconductors.The strong local field enhancement and confinement provided by surface plasmon polaritons offer intriguing opportunities to control light at subwavelength scale.In this review,we first discuss the recent progress on various novel physics revealed by real-space plasmonic phenomena in two-dimensional graphene.Then we will overview the Luttinger-liquid plasmons demonstrated in one-dimensional metallic and semiconducting single walled carbon nanotubes in the real space.Graphene and carbon nanotubes provide the promising control over the plasmonic response,enabling new quantum phenomena and nanophotonic device applications.