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

References in corpus (9)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Unconventional Integer Quantum Hall effect in graphene
• Fabrication and Electric Field Dependent Transport Measurements of Mesoscopic Graphite Devices
• Stick-Slip Motion and Phase Transition in a Block-Spring System

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