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arXiv 1602.00852cond-mat.str-el
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关联拓扑绝缘体SmB6一般表面的自旋织构

Spin textures on general surfaces of the correlated topological insulator SmB6

Pier Paolo Baruselli, Matthias Vojta

摘要:

采用$\mathbf{k}\cdot\mathbf{p}$展开的紧束缚模型SmB $_6$的家庭,我们解析计算拓扑表面状态上的一个通用的$(lmn)$表面。我们展示了Dirac锥自旋结构如何依赖于模型成分和表面法线与主晶轴之间的角度$θ$。我们将一般理论应用到$(001)$,$(110)$,$(111)$,和$(210)$表面,我们提供具体的预测,我们也比较紧束缚的结果的表面状态的自旋模式。如前所述,在$(001)$表面上的自旋图案可以与镜像陈数的值有关,我们探讨了不同镜像陈数的状态之间的拓扑相变的可能性和表面态的自旋结构的相关变化。这样的过渡可以通过改变在哈密顿或晶体场分裂的低能量$f$多重态的杂交项,我们计算相应的相图。

英文摘要:

Employing the $\mathbf{k}\cdot\mathbf{p}$ expansion for a family of tight-binding models for SmB$_6$, we analytically compute topological surface states on a generic $(lmn)$ surface. We show how the Dirac-cone spin structure depends on model ingredients and on the angle $θ$ between the surface normal and the main crystal axes. We apply the general theory to $(001)$, $(110)$, $(111)$, and $(210)$ surfaces, for which we provide concrete predictions for the spin pattern of surface states which we also compare with tight-binding results. As shown in previous work, the spin pattern on a $(001)$ surface can be related to the value of mirror Chern numbers, and we explore the possibility of topological phase transitions between states with different mirror Chern numbers and the associated change of the spin structure of surface states. Such transitions may be accessed by varying either the hybridization term in the Hamiltonian or the crystal-field splitting of the low-energy $f$ multiplets, and we compute corresponding phase diagrams.

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