The generalized tight-binding model is developed to investigate the magneto-electronic properties in twisted bilayer graphene system. All the interlayer and intralayer atomic interactions are included in the Moire superlattice. The twisted bilayer graphene system is a zero-gap semiconductor with double-degenerate Dirac-cone structures, and saddle-point energy dispersions appearing at low energies for cases of small twisting angles. There exist rich and unique magnetic quantization phenomena, in which many Landau-level subgroups are induced due to specific Moire zone folding through modulating the various stacking angles. The Landau-level spectrum shows hybridized characteristics associated with the those in monolayer, and AA & AB stackings. The complex relations among the different sublattices on the same and different graphene layers are explored in detail.
@article{arxiv.1907.08858,
title = {Magneto-electronic properties of twisted bilayer graphene system},
author = {Chiun-Yan Lin and Ming-Fa Lin},
journal= {arXiv preprint arXiv:1907.08858},
year = {2019}
}