论文标题
3D光子Chern绝缘子的矢量散装对应关系
Vectorial Bulk-Boundary Correspondence for 3D Photonic Chern Insulators
论文作者
论文摘要
在2D Chern绝缘子（2D CI）中，散装状态的拓扑是由拓扑不变的Chern编号捕获的。标量散装 - 边界对应（SBBC）将界面上的Chern号的变化与接口处的1D手性边缘模式的数量相关联。但是，3D Chern绝缘子（3D CI）可以以Chern载体C =（CX，CY，CZ）为特征，并且需要更通用的矢量体积 - 边界对应（VBBC）来正确预测表面模式的传播。在这项工作中，探索了3D光子CI之间的可能接口，重点是Chern矢量取向的可能变化。为了制定一个3D VBBC，在界面上的Chern矢量不连续性与边界上表面等电环的绕组之间得出了链接。最后，展示了如何正确预测3D顺式光子表面模式的数量和传播方向。
In 2D Chern insulators (2D CI), the topology of the bulk states is captured by a topological invariant, the Chern number. The scalar bulk-boundary correspondence (sBBC) relates the change in Chern number across an interface with the number of 1D chiral edge modes at the interface. However, 3D Chern insulators (3D CI) can be characterized by a Chern vector C = (Cx, Cy, Cz) and a more general vector bulk-boundary correspondence (vBBC) is needed to correctly predict the propagation of the surface modes. In this work the possible interfaces between 3D photonic CIs are explored, focusing on possible changes in Chern vector orientation. To formulate a 3D vBBC, a link is derived between the Chern vector discontinuity across an interface and the winding of the surface equifrequency loops on the boundary. Lastly, it is demonstrated how to correctly predict the number and the propagation direction of topological photonic surface modes in 3D CIs.
