Transport in finite graphene samples

Details Transport in finite graphene samples Transport in finite graphene samples

2010-02-19

arxiv.org/abs/1002.3734v2

Phys. Rev. B 81, 241404(R) (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, improved figures, 2 figures added

Scientific paper

10.1103/PhysRevB.81.241404

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 agreement with recent numerical calculations of Bardarson et al..

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