硅拓扑光子学的实现方案
Scheme to Achieve Silicon Topological Photonics
摘要：
在本工作中，我们推导出纯粹基于硅的拓扑光子态，硅是一种传统的电介质材料，通过将硅圆柱体的蜂窝晶格变形为圆柱体六边形的三角晶格。光子拓扑结构与由麦克斯韦方程组和设计时的$C_6$晶体对称性所遵循的伪时间反转（TR）对称性构成的伪时间反转（TR）对称性相关联，这使得Kramers在本光子系统中加倍，其中伪自旋的作用由横向磁模式中的磁场的圆偏振所发挥。我们求解了麦克斯韦方程组，并通过揭示光子带的赝自旋分辨Berry曲率和用坡印廷矢量表征的螺旋边缘态，证明了新的光子拓扑结构.
英文摘要：
We derive in the present work topological photonic states purely based on silicon, a conventional dielectric material, by deforming a honeycomb lattice of silicon cylinders into a triangular lattice of cylinder hexagons. The photonic topology is associated with a pseudo time reversal (TR) symmetry constituted by the TR symmetry respected in general by the Maxwell equations and the $C_6$ crystal symmetry upon design, which renders the Kramers doubling in the present photonic system with the role of pseudo spin played by the circular polarization of magnetic field in the transverse magnetic mode. We solve Maxwell equations, and demonstrate new photonic topology by revealing pseudo spin-resolved Berry curvatures of photonic bands and helical edge states characterized by Poynting vectors.
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