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arXiv 1407.5345physics.opticscond-mat.mes-hall
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点群对称光子拓扑绝缘体中的拓扑不变量

Topological Invariants in Point Group Symmetric Photonic Topological Insulators

Xiao-Dong Chen, Zi-Lan Deng, Wen-Jie Chen, Jia-Rong Wang, Jian-Wen Dong

摘要:

提出了一种计算点群对称下双各向同性光子晶体拓扑不变量的群论方法。在反演赝自旋极化场后,利用高对称性k点处转动算符的本征值计算了自旋陈数。利用总自旋陈氏数可以很好地预测光子边缘态和光子带隙的拓扑特性。在大磁电耦合中,由于总自旋陈氏数的跳跃,出现了非平凡的相变。在空气和双各向同性光子晶体之间的ε/μ失配边界处也产生光输运。这一发现揭示了群对称性与光子拓扑系统之间的关系,使得光子非平凡态的设计成为可能。

英文摘要:

We proposed a group-theory method to calculate topological invariant in bi-isotropic photonic crystals invariant under crystallographic point group symmetries. Spin Chern number has been evaluated by the eigenvalues of rotation operators at high symmetry k-points after the pseudo-spin polarized fields are retrieved. Topological characters of photonic edge states and photonic band gaps can be well predicted by total spin Chern number. Nontrivial phase transition is found in large magnetoelectric coupling due to the jump of total spin Chern number. Light transport is also issued at the ε/μ mismatching boundary between air and the bi-isotropic photonic crystal. This finding presents the relationship between group symmetry and photonic topological systems, which enables the design of photonic nontrivial states in a rational manner.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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