基于静电相互作用模型的光子晶体拓扑相变  

Topological Phase Transition of Photonic Crystals Based on Electrostatic Interaction Model

作　　者：陈家禾 李燕方 杭志宏 Chen Jiahe;Li Yanfang;Hang Zhihong(School of Physical Science and Technology,Soochow University,Suzhou 215006,Jiangsu,China;Collaborative Innovation Center of Suzhou Nano Science and Technology,Suzhou 215006,Jiangsu,China;Institute for Advanced Study of Soochow University,Suzhou 215006,Jiangsu,China;Jiangsu Provincial Key Lab of Thin Films,Suzhou 215006,Jiangsu,China)

机构地区：[1]苏州大学物理科学与技术学院,江苏苏州215006 [2]苏州纳米科技协同创新中心,江苏苏州215006 [3]苏州大学高等研究院,江苏苏州215006 [4]江苏省薄膜材料重点实验室,江苏苏州215006

出　　处：《光学学报》2022年第21期68-73,共6页Acta Optica Sinica

基　　金：国家自然科学基金(11874274,12274315)。

摘　　要：对于由完美电导体圆柱构成的蜂窝晶格光子晶体,类比静电相互作用,提出一种可计算晶格内与晶格间耦合强度的数学模型,通过对比晶格内耦合和晶格间耦合,在结构层面解释了量子自旋霍尔效应。计算结果表明,随着圆柱半径的增加,晶格内与晶格间耦合强度发生变化,即引发拓扑相变。数值模拟结果证实转变位置两侧的光子晶体能带结构发生了拓扑反转,在不同拓扑相的光子晶体界面存在单向传播的拓扑光波导。所提出的数学模型可以用于预测光/声拓扑绝缘体的拓扑相变,为后续的元器件开发提供参考。For the honeycomblattice photonic crystals made of perfect electric conductor cylinders,a mathematical model is proposed to calculate the inter-and intralattice coupling intensity by analogy with electrostatic interactions.The comparison of inter-and intralattice coupling is made to explain the quantum spin Hall effect at the structure level.The calculated results reveal that the intra-and interlattice coupling intensity changes with the increase in the cylinder radius,namely that a topological phase transition occurs.Numerical simulations confirm that topological inversion of the band structures of photonic crystals on both sides of the transition position occurs,and a unidirectional topological photonic waveguide emerges at the interfaces between these photonic crystals of different topological phases.The proposed mathematical model can predict the topological phase transition of optical/acoustic topological insulators and can provide a reference for subsequent component development.

关 键 词：物理光学 光子晶体 拓扑相变 静电相互作用 拓扑绝缘体 

分 类 号：O436[机械工程—光学工程]