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arXiv 2304.09628cond-mat.mes-hallphysics.app-ph
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反演对称性破缺的二维准晶体中的界面态

Interface states in two-dimensional quasicrystals with broken inversion symmetry

Danilo Beli, Matheus I. N. Rosa, Luca Lomazzi, Carlos De Marqui, Massimo Ruzzene

AI总结:

本文提出10重对称、质量二聚化破缺反演对称性的二维准晶,数值并实验验证支持36度急转弯的拓扑界面波导。

摘要:

我们研究了二维准晶晶格中由反演对称性破缺诱导的界面态的存在。我们引入了一种具有10重旋转对称性的准晶晶格,其反演对称性通过质量二聚化被破缺,并由此产生两个5重对称子晶格。通过考虑附着在弹性板上的谐振散射体,我们阐明了伴随准晶能谱随二聚化参数发生能带反转而出现的界面态能带。这些能带由沿畴壁界面局域化的模式填充,该界面分隔了具有相反反演对称性的区域。这些特征与谷霍尔效应背景下拓扑界面态的动力学行为相似,而迄今为止谷霍尔效应仅限于周期晶格。我们通过数值和实验证明了在具有锯齿形界面的准晶晶格中的波导,该界面包含36度的急转弯,超越了与6重对称(即蜂窝状)周期晶格相关的60度限制。我们的结果为基于对称性的准晶拓扑波导提供了新机遇,这类波导不需要破缺时间反演对称性,并能通过利用高阶旋转对称性,在波导轨迹设计中赋予更高自由度。

英文摘要:

We investigate the existence of interface states induced by broken inversion symmetries in two-dimensional quasicrystal lattices. We introduce a 10-fold rotationally symmetric quasicrystal lattice whose inversion symmetry is broken through a mass dimerization that produces two 5-fold symmetric sub-lattices. By considering resonator scatterers attached to an elastic plate, we illustrate the emergence of bands of interface states that accompany a band inversion of the quasicrystal spectrum as a function of the dimerization parameter. These bands are filled by modes which are localized along domain-wall interfaces separating regions of opposite inversion symmetry. These features draw parallels to the dynamic behavior of topological interface states in the context of the valley Hall effect, which has been so far limited to periodic lattices. We numerically and experimentally demonstrate wave-guiding in a quasicrystal lattice featuring a zig-zag interface with sharp turns of 36 degrees, which goes beyond the limitation of 60 degrees associated with 6-fold symmetric (i.e., honeycomb) periodic lattices. Our results provide new opportunities for symmetry-based quasicrystalline topological waveguides that do not require time-reversal symmetry breaking, and that allow for higher freedom in the design of their waveguiding trajectories by leveraging higher-order rotational symmetries.

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