论文标题
精致拓扑绝缘子的散射理论
Scattering theory of delicate topological insulators
论文作者
论文摘要
我们研究了精致的拓扑绝缘子（TIS）的散射理论，该理论是超出十倍方式，拓扑量子化学和对称指标方法的新型拓扑阶段。我们证明，反射幅度的相位可以通过捕获精致Ti的特征来探测精致的拓扑。此功能是返回的泵，在绝热循环的第一和下半部分别将整数的电荷向前和向后泵送。作为我们分析的副产品，我们表明需要额外的对称性可以稳定精致的TI的边界状态，而不是急剧定义的表面的常规需求。此外，我们提出了一个光子晶体实验，以实现微妙的TI并测量其反射阶段，从而揭示了微妙的拓扑结构。
We study the scattering theory of delicate topological insulators (TIs), which are novel topological phases beyond the paradigm of the tenfold way, topological quantum chemistry, and the symmetry indicator method. We demonstrate that the phase of the reflection amplitude can probe the delicate topology by capturing a characteristic feature of a delicate TI. This feature is the returning Thouless pump, where an integer number of charges are pumped forward and backward in the first and second half of the adiabatic cycle respectively. As a byproduct of our analysis we show that requiring additional symmetries can stable the boundary states of a delicate TI beyond the conventional requirement of a sharply defined surface. Furthermore, we propose a photonic crystal experiment to implement a delicate TI and measure its reflection phase which reveals the delicate topology.
