ABSTRACT
This chapter proposes future perspectives and issues, being very useful in exploring the emergent condensed-matter systems, especially for the layered materials. It covers the diversified essential properties in the physical, chemical, and material sciences. The dimension crossover phenomena will become one of the main-stream topics since the first discovery of few-layer graphene systems by the mechanical exfoliation in 2004. The 2D layered materials can dramatically change into the 3D bulk systems, the 1D nanomaterials, or even the 0D quantum dots. There are five typical methods in creating the nonuniform magnetic quantization environments, covering the stacking modulation, the reduced or enhanced dimensions, the composite external fields, the deformed/curved surfaces, and the hybridized structures. In general, the quasi-1D magneto-electronic states have strong energy dispersions, at least, along one direction of wave vector, in which such relations are responsible for the unusual transport conductivities and absorption spectra.
