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arXiv 2407.05097physics.optics
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具有II型狄拉克锥的$\mathcal{PT}$对称光子晶格

$\mathcal{PT}$-symmetric photonic lattices with type-II Dirac cones

Qian Tang, Milivoj R. Belić, Hua Zhong, Meng Cao, Yongdong Li, Yiqi Zhang

AI总结:

本文首次构建具有II型狄拉克锥的$\mathcal{PT}$对称光子晶格,发现II型奇异环及对称性恢复机制,并揭示不同对称相中光束传播的衰减与放大行为。

摘要:

II型狄拉克锥是能带结构的一个特殊特征,其费米能级由一对交叉线表示。已经证明,这种结构有助于研究拓扑边缘孤子,更具体地说,有助于模拟Kline隧穿。然而,目前尚不清楚II型狄拉克锥与非厄米机制之间的相互作用会产生什么结果。本文解决了这一问题;特别地,我们首次报道了具有II型狄拉克锥的$\mathcal{PT}$对称光子晶格。我们识别出一个斜率奇异环,并将其命名为II型奇异环。我们展示了通过减小晶胞内格点之间的间距来恢复晶格的$\mathcal{PT}$对称性。奇怪的是,光束在具有$\mathcal{PT}$对称性的非厄米晶格中传播时,其振幅仅因衍射而衰减,而在$\mathcal{PT}$对称性破缺的晶格中,即使光束仍在衍射,其振幅也会被放大。这项工作在这些物理系统中建立了非厄米机制与洛伦兹不变性破缺之间的联系。

英文摘要:

The type-II Dirac cone is a special feature of the band structure, whose Fermi level is represented by a pair of crossing lines. It has been demonstrated that such a structure is useful for investigating topological edge solitons, and more specifically, for mimicking the Kline tunneling. However, it is still not clear what the interplay between type-II Dirac cones and the non-Hermiticity mechanism will result in. Here, this question is addressed; in particular, we report the $\mathcal{PT}$-symmetric photonic lattices with type-II Dirac cones for the first time. We identify a slope-exceptional ring and name it the type-II exceptional ring. We display the restoration of the $\mathcal{PT}$ symmetry of the lattice by reducing the separation between the sites in the unit cell. Curiously, the amplitude of the beam during propagation in the non-Hermitian lattice with $\mathcal{PT}$ symmetry only decays because of diffraction, whereas in the $\mathcal{PT}$ symmetry-broken lattice it will be amplified, even though the beam still diffracts. This work establishes the link between the non-Hermiticity mechanism and the violation of Lorentz invariance in these physical systems.

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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