Role of the trigonal warping on the minimal conductivity of bilayer graphene

Details Role of the trigonal warping on the minimal conductivity of bilayer graphene Role of the trigonal warping on the minimal conductivity of bilayer graphene

2007-03-30

arxiv.org/abs/cond-mat/0703810v1

Phys. Rev. Lett. 99, 066802 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.99.066802

Using a reformulated Kubo formula we calculate the zero-energy minimal conductivity of bilayer graphene taking into account the small but finite trigonal warping. We find that the conductivity is independent of the strength of the trigonal warping and it is three times as large as that without trigonal warping, and six times larger than that in single layer graphene. Although the trigonal warping of the dispersion relation around the valleys in the Brillouin zone is effective only for low energy excitations, our result shows that its role cannot be neglected in the zero-energy minimal conductivity.

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