Eur. Phys. J. B 78, 103-109 (2010)
https://doi.org/10.1140/epjb/e2010-10498-8

Ripples of AA and AB stacking bilayer graphenes

National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing, 210093, P.R. China

Corresponding author: ^a jdong@nju.edu.cn

Received: 27 June 2010
Revised: 28 September 2010
Published online: 28 October 2010

Abstract

Using the classical molecular dynamics simulations, we have investigated the thermally-excited ripples of the AA- and AB-stacking bilayer graphenes (BLGs) at different temperatures, and compared them with those of the single layer graphene (SLG). It is found that: (1) the ripples in both AA- and AB-stacking BLGs are intrinsic with a characteristic size of about 100 Å at room temperature, increasing with increase of temperature. (2) The ripple's intralayer height-height correlation functions for the two types of BLGs follow a power-law behavior, G_h(q) ~ q^-α, with the same scaling exponent at the same temperature, which decreases as temperature increases. (3) The ripple's height of the AB-stacking BLG is larger than that of the AA-stacking one at the lower temperatures. (4) Finally, the ripple's height in the two types of BLGs is greatly smaller than that in the SLG, which is consistent with the experimental results.