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Universal numerical calculation method for the Berry curvature and Chern numbers of typical topological photonic crystals

机译：浆果曲率的通用数值计算方法和典型拓扑光子晶体的挖掘数

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摘要

Chern number is one of the most important criteria by which the existence of a topological photonic state among various photonic crystals can be judged; however, few reports have presented a universal numerical calculation method to directly calculate the Chern numbers of different topological photonic crystals and have denoted the influence of different structural parameters. Herein, we demonstrate a direct and universal method based on the finite element method to calculate the Chern number of the typical topological photonic crystals by dividing the Brillouin zone into small zones, establishing new properties to obtain the discrete Chern number, and simultaneously drawing the Berry curvature of the first Brillouin zone. We also explore the manner in which the topological properties are influenced by the different structure types, air duty ratios, and rotating operations of the unit cells; meanwhile, we obtain large Chern numbers from-2 to 4. Furthermore, we can tune the topological phase change via different rotation operations of triangular dielectric pillars. This study provides a highly efficient and simple method for calculating the Chern numbers and plays a major role in the prediction of novel topological photonic states.
机译：CHERN号码是最重要的标准之一，可以判断各种光子晶体之间存在拓扑光子状态的标准之一;然而，很少有报道呈现了通用数值计算方法，以直接计算不同拓扑光子晶体的挖掘数，并表示不同结构参数的影响。在此，我们通过将布里渊区分成小区域来计算基于有限元方法来计算典型拓扑光子晶体的挖掘数，建立新的性能，以获得离散的CHERN号码，并同时绘制浆果第一布里渊区的曲率。我们还探讨了拓扑特性受到单位电池的不同结构类型，空中占空比和旋转操作的影响的方式;同时，我们从-2到4中获得大的CHERN。此外，我们可以通过三角电介质柱的不同旋转操作调整拓扑相位变化。该研究提供了一种高效且简单的方法，用于计算CHERN号码，并在新颖的拓扑光子态预测中发挥重要作用。

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  • 来源
    《Frontiers of optoelectronics》 |2020年第1期|73-88|共16页
  • 作者

    Wang Chenyang; Zhang Hongyu; Yuan Hongyi; Zhong Jinrui; Lu Cuicui;

  • 作者单位

    Beijing Inst Technol Sch Phys Beijing Key Lab Nanophoton & Ultrafine Optoelect Beijing 100081 Peoples R China;

    Beijing Inst Technol Sch Phys Beijing Key Lab Nanophoton & Ultrafine Optoelect Beijing 100081 Peoples R China;

    Beijing Inst Technol Sch Phys Beijing Key Lab Nanophoton & Ultrafine Optoelect Beijing 100081 Peoples R China;

    Beijing Inst Technol Sch Phys Beijing Key Lab Nanophoton & Ultrafine Optoelect Beijing 100081 Peoples R China;

    Beijing Inst Technol Sch Phys Beijing Key Lab Nanophoton & Ultrafine Optoelect Beijing 100081 Peoples R China;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Chern number; topological photonic crystal; finite element method; symmetry;

    机译：Chern号码;拓扑光子晶体;有限元法;对称性;

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