# Diverse quantization phenomena in AA bilayer silicene

## TL;DR

This paper explores the complex magneto-electronic properties and Landau level quantization in AA-bt bilayer silicene, revealing unique energy band behaviors influenced by symmetry and atomic interactions.

## Contribution

It introduces a generalized tight-binding model to analyze the diverse magnetic quantization phenomena in AA-bt bilayer silicene, highlighting its unique Landau level structures.

## Key findings

- Multiple oscillatory energy bands with off-center low-lying states
- Landau levels with complex localization behaviors
- Distinct energy spectra influenced by symmetry and atomic interactions

## Abstract

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.