graphene

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Graphene, which discover by the Geim and Novoselov 1,is a material that is composed of a single layer of sp2 hybridized pure carbon atoms arranged in a regular hexagonal honeycomb pattern as shown in Figure 1. This material has unique mechanical, electrical, chemical and thermal properties which stimulate a huge research interest.2,3 Graphene also can be thought as a building block for the formation of fullerenes, carbon fibers, carbon nanotubes and graphite.1
Fig. 1. 2D Structure of single-layer graphene

As we stated earlier, graphene consists of the lattice of sp2 hybridized carbon atoms. In carbon atom, there are three orbitals namely 2s, 2px and 2py which are responsible for the formation of covalent sigma bond between the other adjacent carbon atoms to form the 2D structure of graphene. However, the other p orbital, 2pz, which is out of the plane of the structure forms the pi bonds. The energy of pi bonding orbitals in the graphene is close to the Fermi energy level. Therefore, it provides delocalized states which are responsible for the electrical conductivity of graphene.4,5 However, for the few layers of graphene the orientation of these pi orbitals changes that is why the electronic properties of graphene depend strongly on the number of graphene layers. Hence, only single-layer and bilayer graphene are zero band gap semiconductors which means there is no energy gap between the valence band and the conduction band. On the other hand, in the case of few-layer graphene, the conduction and valence bands start to overlap. Because of this kind of properties, graphene exhibits unique electrical properties such as having high carrier mobility, a stable 2D crystal structure and ability to perform ballistic transport at room temperature.6,7

Beside the electrical properties, single layer graphene has other properties differ from a few layered graphene. For example,

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