ABSTRACT
This chapter focuses on the magnetically quantized behaviors of the emergent layered materials, in which they will be clearly revealed in the electronic properties, optical absorption spectra, quantum Hall transports, and magneto-Coulomb excitations. It provides the detailed comparisons between the theoretical predictions and the high-resolution experimental measurements. The magnetic quantization can be greatly diversified by modulating/changing the various geometric structures of condensed-matter systems and the external field forms. The diverse phenomena have been predicted/observed in the mainstream or emergent materials. It is well known that the geometric symmetries are one of the critical factors in determining the fundamental physical, chemical, and material properties. For the quantum transport properties, the 2D graphene-related systems are very suitable for fully exploring the diverse magnetic quantization phenomena. Apparently, such layered materials sharply contrast with the doped semiconductors/2D electron gases revealing the integral and fractional Hall effects.
