论文标题
形态学对拓扑表面状态的出现和拓扑绝缘体纳米颗粒中的选择规则的作用
The role of morphology on the emergence of topologically trivial surface states and selection rules in topological-insulator nano-particles
论文作者
论文摘要
在文献中已经研究了3D拓扑绝缘子纳米颗粒中的狭窄电子状态和光学转变，假设理想化的几何形状（例如球形或无限长的圆柱体），可以在此类怪异中获得对相应特征值方程的分析解决方案。相反，在本文中，我们将三角形纳米板视为对实验观察到的拓扑绝缘纳米颗粒形态的更现实近似。在这种特定的几何形状中，我们获得了限制本征态和相应能量谱的分析表达式。此外，通过这些状态的概率密度分布的空间表示，我们进一步确定了导致由于几何限制而导致拓扑表面状态出现的条件。最后，我们还研究了纳米颗粒大小和形态所施加的光学转变和相应的选择规则。
Confined electronic states and optical transitions in 3D topological insulator nanoparticles have been studied in the literature, assuming idealized geometries such as spheres or infinitely long cylinders, that allow to obtain analytical solutions to the corresponding eigenvalue equation within such geometries. In contrast, in this article we consider triangular-shaped nanoplates as a more realistic approximation to the experimentally observed morphologies of topological insulator nanoparticles. In this particular geometry, we obtain analytical expressions for the confined eigenstates and the corresponding energy spectrum. Moreover, by a spatial representation of the probability density distribution of these states, we further identify the conditions leading to the emergence of topologically trivial surface states as a result of geometric confinement. Finally, we also study the optical transitions and the corresponding selection rules imposed by the nanoparticle size and morphology.
