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

Diverse quantization phenomena in AA bilayer silicene