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arXiv · 1002.3734

Transport in finite graphene samples

K. Ziegler·A. Sinner
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Abstract

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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K. Ziegler, A. Sinner. 2010-02-19. Transport in finite graphene samples. https://doi.org/10.1103/physrevb.81.241404

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