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arXiv · 1512.02129

Novel Magnetic Quantization of sp$^{3}$ Bonding in Monolayer Tinene

Szu-Chao Chen·Chung-Lin Wu·Jhao-Ying Wu·Ming-Fa Lin
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Abstract

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 $sp^{3}$ 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 $5p_{z}$ and ($5p_{x}$,$5p_{y}$) 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.

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Szu-Chao Chen, Chung-Lin Wu, Jhao-Ying Wu, Ming-Fa Lin. 2015-12-07. Novel Magnetic Quantization of sp$^{3}$ Bonding in Monolayer Tinene. https://doi.org/10.1103/physrevb.94.045410

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