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 $2{e}^{2}∕{\ensuremath{\pi}}^{2}\ensuremath{\hbar}$ per spin in the strong-disorder regime, independently of the short- or long-range disorder.