  The diverse quantization phenomena in 2D condensed-matter systems, being due
to a uniform perpendicular magnetic field and the geometry-created lattice
symmetries, are the focuses of this book. They cover the diversified
magneto-electronic properties, the various magneto-optical selection rules, the
unusual quantum Hall conductivities, and the single- and many-particle
magneto-Coulomb excitations. The rich and unique behaviors are clearly revealed
in few-layer graphene systems with the distinct stacking configurations, the
stacking-modulated structures, and the silicon-doped lattices, bilayer
silicene/germanene systems with the bottom-top and bottom-bottom buckling
structures, monolayer and bilayer phosphorene systems, and quantum topological
insulators. The generalized tight-binding model, the static and dynamic Kubo
formulas, and the random-phase approximation, are developed/modified to
thoroughly explore the fundamental properties and propose the concise physical
pictures. The different high-resolution experimental measurements are discussed
in detail, and they are consistent with the theoretical predictions.
