Transport in finite graphene samples

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..

4 pages, improved figures, 2 figures added

References in corpus (11)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Control of graphene's properties by reversible hydrogenation
• Effect of Disorder on Transport in Graphene
• Low energy theory of disordered graphene
• Delocalization of 2D Dirac Fermions: the Role of a Broken Supersymmetry
• Absence of a metallic phase in charge-neutral graphene with a random gap
• Random gap model for graphene and graphene bilayers
• Which Kubo formula gives the exact conductance of a mesoscopic disordered system?
• Diffusion in the random gap model of mono- and bilayer graphene

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• Optical conductivity of graphene in the presence of random lattice deformations
• Ising instability of a Holstein phonon mode in graphene
• Frequency splitting of intervalley phonons in graphene
• Finite-size scaling in a 2D disordered electron gas with spectral nodes
• Optical conductivity of single-layer graphene induced by temporal mass-gap fluctuations
• Effect of Uncorrelated On-site Scalar Potential and Mass Disorder on Transport of Two-Dimensional Dirac Fermions