a.
Fabrication and
Characteristics
Graphene is two-dimensional crystalline form of carbon: a single layer of carbon
atoms arranged in hexagons, like a honeycomb, with sp2
bonding, unlike
diamond and amorphous carbon materials as having sp3
bonding. Chemical functionalization
of the main graphene sheet (not the edges) is achieved by either covalent or non-covalent methods.
Covalent functionalization requires
the breaking of sp2 bonds
and can be achieved using a wide range of reactions. Non-covalent functionalization relies on van der
Waals forces often due
to pi-pi stacking between aromatic molecules and the
graphene lattice. Regarding its electronic properties, a good approximation to the
band structure of
mono-layer graphene can be obtained from a simple nearest neighbor tight-binding calculation.
Inspection of this band structure
immediately reveals three electronic properties of mono-layer graphene which have excited such
interest in this material: the vanishing carrier density at the Dirac points, the existence of pseudo-spin
and the relativistic nature of carriers [1]. In case of magnetic properties of graphene, weak
paramagnetism at low temperatures is reported for relatively
defect free graphene, and the use of ion irradiation to add vacancies can increase the paramagnetism [2].