Title: Superconductivity in graphene monolayer calculated via Kubo formula

Abstract

We employed the massless Dirac’s fermions formalism together with the Kubo’s formula of the linear response theory to study the transport by electrons in the graphene monolayer. We calculated the electric conductivity and verified the behaviour of the AC and DC electric conductivities of the system that is known to be a relativistic electron plasma. Our results show a behaviour of the AC conductivity tending to infinity at DC limit and therefore a superconductor behaviour to the electron transport at low-temperature.