光子半导体模型拓扑相位的第一性原理计算
First Principles Calculation of the Topological Phases of the Photonic Haldane Model
摘要：
具有破缺的时间反演对称性的光子拓扑材料的特征在于非平凡拓扑相位，使得它们不支持在体区域中的传播，但是当被不透明类型边界包围时，它们强制支持非平凡净数量的单向边缘状态，例如，电墙霍尔模型在凝聚态系统拓扑方法的发展中发挥了核心作用，因为它揭示了破碎的时间反转是量子化电子霍尔相的基本成分。最近，人们证明，磁场的Halflit模型可以模拟在光子学与空间变化的赝特勒根耦合。在这里，我们使用格林函数方法来确定从第一原理的能带图和拓扑不变量的光子Haldom模型，实现为Tellegen光子晶体。通过第一性原理计算，发现光子晶体的颗粒结构可以产生由赝Tellegen参数的振幅控制的非平凡相变.
英文摘要：
Photonic topological materials with a broken time reversal symmetry are characterized by nontrivial topological phases, such that they do not support propagation in the bulk region but forcibly support a nontrivial net number of unidirectional edge states when enclosed by an opaque type boundary, e.g., an electric wall. The Haldane model played a central role in the development of topological methods in condensed matter systems, as it unveiled that a broken time reversal is the essential ingredient to have a quantized electronic Hall phase. Recently, it was proved that the magnetic field of the Haldane model can be imitated in photonics with a spatially varying pseudo Tellegen coupling. Here, we use a Greens function method to determine from first principles the band diagram and the topological invariants of the photonic Haldane model, implemented as a Tellegen photonic crystal. Furthermore, the topological phase diagram of the system is found, and it is shown with first principles calculations that the granular structure of the photonic crystal can create nontrivial phase transitions controlled by the amplitude of the pseudo Tellegen parameter.
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