  The rich magneto-electronic properties of AA-bottom-top (bt) bilayer silicene
are investigated using a generalized tight-binding model. The electronic
structure exhibits two pairs of oscillatory energy bands in which the lowest
conduction and highest valence states of the low-lying pair are away from the K
point. The quantized Landau levels (LLs) are classified into various separated
groups by the localization behaviors of spatial distributions. The LLs in the
vicinity of Fermi energy do not present simple wave function modes which are
quite different from other two-dimensional systems. The geometry symmetry,
intralayer and interlayer atomic interactions, and effect of a perpendicular
magnetic field are responsible for the peculiar LL energy spectra in AA-bt
bilayer silicene. This work provides a better understanding of the diverse
magnetic quantization phenomena in 2D condensed-matter materials.
