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arXiv 1305.6089cond-mat.mtrl-scicond-mat.mes-hall
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VIB族过渡金属二硫属化合物单分子膜的三带紧束缚模型

Three-band tight-binding model for monolayers of group-VIB transition metal dichalcogenides

Gui-Bin Liu, Wen-Yu Shan, Yugui Yao, Wang Yao, Di Xiao

摘要:

本文提出了一个三带紧束缚(TB)模型,用于描述第六族过渡金属二硫属化物$MX_2$($M$ =Mo,W; $X$ =S,Se,Te)单层膜的低能物理.由于导带和价带边缘主要由$M$原子的$d_{z^{2}}$、$d_{xy}$和$d_{x^{2}-y^{2}}$轨道贡献,因此基于单层的对称性使用这三个轨道构建TB模型。TB模型的参数从所有$MX_2$单层的第一原理能带拟合。TB模型只涉及最近邻的$M$ - $M$跳跃是足够的捕获带边属性的$\pm K$谷,包括能量色散以及Berry曲率。TB模型涉及多达第三最近邻$M$ - $M$跳跃可以很好地再现整个布里渊区的能带。通过考虑$M$原子的原位自旋轨道相互作用,很好地解释了价带中的自旋轨道耦合。导带还表现出小的谷依赖性自旋分裂,其在Mo $X_{2}$和W $X_{2}$之间具有总体符号差。我们讨论了这些修正的三带模型的起源。本文提出的三带TB模型能有效地解释$MX_2$单分子膜的低能物理,它的简单性在多体物理和边缘态物理的研究中特别有用。

英文摘要:

We present a three-band tight-binding (TB) model for describing the low-energy physics in monolayers of group-VIB transition metal dichalcogenides $MX_2$ ($M$=Mo, W; $X$=S, Se, Te). As the conduction and valence band edges are predominantly contributed by the $d_{z^{2}}$, $d_{xy}$, and $d_{x^{2}-y^{2}}$ orbitals of $M$ atoms, the TB model is constructed using these three orbitals based on the symmetries of the monolayers. Parameters of the TB model are fitted from the first-principles energy bands for all $MX_2$ monolayers. The TB model involving only the nearest-neighbor $M$-$M$ hoppings is sufficient to capture the band-edge properties in the $\pm K$ valleys, including the energy dispersions as well as the Berry curvatures. The TB model involving up to the third-nearest-neighbor $M$-$M$ hoppings can well reproduce the energy bands in the entire Brillouin zone. Spin-orbit coupling in valence bands is well accounted for by including the on-site spin-orbit interactions of $M$ atoms. The conduction band also exhibits a small valley-dependent spin splitting which has an overall sign difference between Mo$X_{2}$ and W$X_{2}$. We discuss the origins of these corrections to the three-band model. The three-band TB model developed here is efficient to account for low-energy physics in $MX_2$ monolayers, and its simplicity can be particularly useful in the study of many-body physics and physics of edge states.

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