ABSTRACT
The generalized tight-binding model and gradient approximation method are developed to explore the electronic and optical properties under magnetic quantization. The rhombohedral graphites-stacking configuration has different point-group symmetries for the corresponding 2D and 3D structures, leading to distinct characteristics of electronic properties and optical spectra. The optical spectrum presents a shoulder structure and a prominent plateau structure at low and middle frequencies, respectively. The low-energy electronic and optical properties are reviewed in both rhombohedral and hexagonal unit cells, which are, respectively, built from two and eight sublattices. The magneto-optical properties elucidated in the framework of the tight-binding model reveal far more significant results than the results derived from a simplified effective-mass approximation. The reduced dimension in transverse y-direction can greatly diversify the electronic properties and optical spectra of carbon-related systems, especially those of carbon nanotubes and graphene nanoribbons. The various geometric structures and diverse intrinsic properties clearly indicate that graphite-related systems are suitable for development of basic and applied sciences.
