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

Abstract

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.

accepted by J. Appl. Phys

References in corpus (9)

• The Raman Fingerprint of Graphene
• Substrate-induced band gap opening in epitaxial graphene
• Raman scattering from high frequency phonons in supported n-graphene layer films
• Dimensional crossover of thermal transport in few-layer graphene materials
• Heat Conduction across Monolayer and Few-Layer Graphenes
• Scanning tunneling spectroscopy of inhomogeneous electronic structure in monolayer and bilayer graphene on SiC
• Surface Potentials and Layer Charge Distributions in Few-Layer Graphene Films
• Origin of the energy bandgap in epitaxial graphene
• Raman and Infra-red properties and layer dependence of the phonon dispersions in multi-layered graphene

Cited by in corpus (1)

• A Review on Flexural Mode of Graphene: Lattice Dynamics, Thermal Conduction, Thermal Expansion, Elasticity, and Nanomechanical Resonance