Transport in Bilayer Graphene: Calculations within a self-consistent Born approximation

Abstract

The transport properties of a bilayer graphene are studied theoretically within a self-consistent Born approximation. The electronic spectrum is composed of $k$-linear dispersion in the low-energy region and $k$-square dispersion as in an ordinary two-dimensional metal at high energy, leading to a crossover between different behaviors in the conductivity on changing the Fermi energy or disorder strengths. We find that the conductivity approaches $2e^2/{\pi }^2\hslash$ per spin in the strong-disorder regime, independently of the short- or long-range disorder.

8 pages, 5 figures

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• Electric Field Effect in Atomically Thin Carbon Films
• Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Unconventional Integer Quantum Hall effect in graphene

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• Notes on the minimal longitudinal dc conductivity of perfect bilayer graphene
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• Pseudo-zero-mode Landau levels and collective excitations in bilayer graphene
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• Edge states in graphene in magnetic fields -- a speciality of the edge mode embedded in the n=0 Landau band
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• Anisotropic minimal conductivity of graphene bilayers
• Long-range correlations in disordered graphene
• Local density of states in disordered graphene
• Large Berry phases in layered graphene
• Gaps and tails in graphene and graphane
• Massless and massive particle-in-a-box states in single-and bi-layer graphene