类氢离子与平面拓扑绝缘体的相互作用
Interaction of a hydrogenlike ion with a planar topological insulator
摘要：
在拓扑绝缘体（TI）表面附近的电荷会感应出镜像磁致伸缩。在这里，我们研究的类氢离子的光谱附近的平面TI的表面，考虑到由于存在的图像磁磁场而产生的修改。事实上，原子-TI相互作用对Casimir-Polder势提供了额外的贡献，而离子-TI相互作用修改了光谱中的能量位移，现在变得依赖于距离。结果表明，在角动量不为零的状态下，超精细结构对镜像磁场敏感，圆形里德伯离子可以增强最大能量位移.详细讨论了氢原子中$n$ P $_{1/2}$和$n$ P $_{3/2}$态的能量分裂.我们还分析了Casimir-Polder势，发现这种磁相互作用对某些特定的原子态产生了大距离的排斥尾。一个相当大的值的最大电位需要TI与非常低的值的介电常数连同高值的拓扑磁电极化。
英文摘要：
An electric charge near the surface of a topological insulator (TI) induces an image magnetic monopole. Here we study the spectra of hydrogenlike ions near the surface of a planar TI, taking into account the modifications which arise due to the presence of the image monopole magnetic fields. In fact, the atom-TI interaction provides additional contributions to the Casimir-Polder potential while the ion-TI interaction modifies the energy shifts in the spectrum, which now became distance dependent. We show that the hyperfine structure is sensitive to the image magnetic monopole fields in states with nonzero angular momentum, and that circular Rydberg ions can enhance the maximal energy shifts. We discuss in detail the energy splitting of the $n$P$_{1/2}$ and $n$P$_{3/2}$ states in hydrogen. We also analyze the Casimir-Polder potential and find that this magnetic interaction produces a large distance repulsive tail for some particular atomic states. A sizable value of the maximum of the potential requires TIs with very low values of the permittivity together with high values of the topological magnetoelectric polarization.
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