论文标题
普遍的途径，出现在PT对称地材料中具有展开光谱对称性的特殊点
Universal Route for the Emergence of Exceptional Points in PT-Symmetric Metamaterials with Unfolding Spectral Symmetries
论文作者
论文摘要
我们介绍了一类平均时间对称弹性动力学的超材料（ED-Metamater），其遗传学对应物表现出具有展开（分形）对称性的频谱。我们的研究揭示了非尺度形成特殊点（EP）的形成，其密度是由其遗传学光谱的分形维度决定的。在准周期性的aubry-harper，几何H-Tree-Fractal和Aperiodic fibonacci Ed-Metamater中证明，通过具有可控制的分形光谱的耦合模式理论模型建立了通用ePormation的通用途径。这种通用性将使新型ED-Metamater的合理设计用于超敏感和弹性波控制。
We introduce a class of Parity-Time symmetric elastodynamic metamaterials (Ed-MetaMater) whose Hermitian counterpart exhibits a frequency spectrum with unfolding (fractal) symmetries. Our study reveals a scale-free formation of exceptional points (EP) whose density is dictated by the fractal dimension of their Hermitian spectra. Demonstrated in a quasi-periodic Aubry-Harper, a geometric H-tree-fractal, and an aperiodic Fibonacci Ed-MetaMater, the universal route for EP-formation is established via a coupled mode theory model with controllable fractal spectrum. This universality will enable the rational design of novel Ed-MetaMater for hypersensitive sensing and elastic wave control.
