The influence of defects on the conductivity of graphene within the effective theory approach

The results of the simulations by Monte Carlo method of graphene with structural defects are presented. The calculations are performed within an effective quantum field theory with non-compact $3+ 1$-dimensional Abelian gauge field and $2 + 1$-dimensional Kogut–Susskind fermions. It was found that defects shift the phase transition point semimetal-insulator towards higher values of a substrate permittivity.