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Quantum Hall phase and chiral edge states simulated by a coupled dipole method

机译：通过耦合偶极方法模拟量子霍尔期和手性边缘状态

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摘要

We present theoretical modeling of the quantum Hall phase and chiral edge states in a gyroelectric photonic crystal. The theoretical framework represented here is based on a coupled dipole method, which is a direct counterpart of the tight-binding approximation. We confirm that gyrotropic coupling produces a band gap characterized by a nonzero Chern number. Gapless edge states appear at an interface between a gyroeletric photonic crystal and a vacuum. At a domain wall between media of positive and negative gyrotropy, topological edge states that are analogous to the Jackiw-Rebbi stales are observed. Propagation of the chiral edge states is also simulated in real space under excitation of an external dipole source. This analysis provides a toy model to describe the quantum Hall phase in a purely optical manner, without using a mapping or an analogy of the electron wave function in the quantum Hall effect.
机译：我们在陀螺光子晶体中呈现量子霍尔期和手性边缘状态的理论建模。这里表示的理论框架是基于耦合的偶极方法，其是紧密结合近似的直接对应物。我们确认旋转耦合产生的带隙，其特征在于非零Chern号码。无间隙边缘状态显示在陀螺光子晶体和真空之间的界面处。在正面和负陀螺仪的介质之间的畴壁上，观察到类似于Jackiw-Rebbi Stales的拓扑边缘状态。在外部偶极源的激励下，还在实际空间中模拟了手性边缘状态的传播。该分析提供了一种玩具模型，用于以纯光学方式描述量子霍尔相，而不使用量子霍尔效应中的电子波函数的映射或类比。

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  • 来源
    《Physical review》 |2020年第19期|195105.1-195105.6|共6页
  • 作者

    Minkyung Kim; Junsuk Rho;

  • 作者单位

    Department of Mechanical Engineering Pohang University of Science and Technology (POSTECH) Pohang 37673 Republic of Korea;

    Department of Mechanical Engineering Pohang University of Science and Technology (POSTECH) Pohang 37673 Republic of Korea Department of Chemical Engineering Pohang University of Science and Technology (POSTECH) Pohang 37673 Republic of Korea;

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