A universal exponential factor in the dimensional crossover from graphene to graphite

作者：Jiang Jin Wu^*; Wang Jian Sheng

来源：Journal of Applied Physics, 2010, 108(12): 124311.

DOI：10.1063/1.3524476

A universal exponential factor, gamma(c) = pi/2, is disclosed for the dimensional crossover of few-layer graphene (FLG) from two-dimensional graphene to three-dimensional graphite. gamma(c) is found by analyzing available experimental data on different properties of FLG with varying thickness. A theoretical study on the phonon spectrum of the vertical acoustic mode in FLG is carried out to further check this exponential factor gamma(c). Interestingly, the same exponential factor appears in the dimensional crossover of the phonon mode. It turns out that the exponential factor gamma(c) is related to the homogeneous Helmholtz-like molal equation in the mass transfer with a first order chemical reaction. The finding should provide valuable information for experimentalists and theorists in the future investigation on thickness dependent properties of FLG.

• 出版日期2010-12-15