A generalized tight-binding model, which is based on the subenvelope functions of the different sublattices, is developed to explore the novel magnetic quantization in monolayer gray tin. The effects due to the sp3 bonding, the spin-orbital coupling, the magnetic field and the electric field are simultaneously taken into consideration. The unique magneto-electronic properties lie in two groups of low-lying Landau levels, with different orbital components, localization centers, state degeneracy, spin configurations, and magnetic- and electric-field dependences. The first and second groups mainly come from the 5pz and (5px,5py) orbitals, respectively. Their Landau-level splittings are, respectively, induced by the electric field and spin-orbital interactions. The intragroup anti-crossings are only revealed in the former. The unique tinene Landau levels are absent in graphene, silicene and germanene.
@article{arxiv.1512.02129,
title = {Novel Magnetic Quantization of sp$^{3}$ Bonding in Monolayer Tinene},
author = {Szu-Chao Chen and Chung-Lin Wu and Jhao-Ying Wu and Ming-Fa Lin},
journal= {arXiv preprint arXiv:1512.02129},
year = {2016}
}