Magnetic quantization of sp3 bonding in monolayer gray tin

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 (tinene). 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 magnetoelectronic 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 dependencies. 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 anticrossings are only revealed in the former. The unique tinene Landau levels are absent in graphene, silicene, and germanene.