BROKEN SYMMETRY AND TOPOLOGY IN PHOTONIC ANALOG OF GRAPHENE
BROKEN SYMMETRY AND TOPOLOGY IN PHOTONIC ANALOG OF GRAPHENE
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DOI：
10.1142/s0217979214410045
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发表时间：
2014-01
影响因子：
1.7
通讯作者：
T. Ochiai
中科院分区：
文献类型：
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作者：
T. Ochiai
本文综述了对称性破缺对石墨烯光子晶体光学性质的影响。蜂窝晶格的空间对称性在布里渊区拐角处产生狄拉克光谱，而无需微调物理参数。此外，“狄拉克-质量”间隙可以通过打破时间反演对称性和/或空间反演对称性来引入。这两种对称性与动量空间中辐射场的拓扑结构密切相关，如果系统有边，则与非平凡边态有关。我们表明，一个有效的哈密顿光子得到的帮助下，群论预测的手征边缘状态的调制，很难实现在电子石墨烯。对无限长圆柱体蜂窝格子相变的数值模拟，很好地证实了这一预测。
We review how broken symmetries affect optical properties in photonic analog of graphene, namely, honeycomb-lattice photonic crystals (PhCs). The spatial symmetry of the honeycomb lattice yields Dirac spectra at Brillouin zone corners without fine tuning of physical parameters. In addition, the "Dirac-mass" gap can be introduced by breaking the time-reversal symmetry and/or the space-inversion symmetry. These two symmetries are closely related to the topology of radiation fields in momentum space, and are linked with nontrivial edge states if the system has edges. We show that an effective Hamiltonian for photon obtained with the aid of group theory predicts a modulation of chiral edge states that are hardly implemented in electronic graphene. Numerical simulation of the honeycomb-lattice PhCs of infinitely-long cylinders, confirms the prediction fairly well.