We study the dc transport of finite graphene samples with random gap. Using Dirac fermions to describe the low-energy physics near the Dirac point, we employ a generalized Drude form for the conductivity. The latter is constant for a vanishing average gap but always decreases with increasing sample size for a nonzero average gap. The asymptotic conductivity of the infinite sample is either nonzero if the average gap is smaller than a critical value or zero otherwise. Our results are in qualitative agreement with recent numerical calculations of Bardarson et al. [Phys. Rev. B 81, 121414(R) (2010)].

• Received 17 March 2010

DOI:https://doi.org/10.1103/PhysRevB.81.241404