Maxwell晶格中镜面对称性保护的高阶拓扑零频边界模式与角模式
Mirror-symmetry protected higher-order topological zero-frequency boundary and corner modes in Maxwell lattices
AI总结：
研究揭示Maxwell晶格中由镜面对称与手征对称性共同产生的高阶拓扑指数MGWN，可预测畴壁和角落处的零频模式及自应力状态，并证明其独立于拓扑极化。
摘要：
Maxwell晶格是自由度数等于约束数的晶格，已知其可承载受拓扑保护的零频模式和自应力状态，并由一种称为拓扑极化的拓扑指数表征。在这篇快报中，我们表明，除这些已知拓扑模式外，借助镜面对称性，Maxwell晶格固有的手征对称性还产生了另一个拓扑指数，即镜面分级绕数（MGWN）。该MGWN是一种高阶拓扑指数，会在具有不同MGWN的两个系统之间的镜面不变畴壁和角落处产生拓扑零模与自应力状态。我们进一步表明，两个具有相同拓扑极化的系统可以具有不同的MGWN，这表明这两个拓扑指数在根本上是不同的。
英文摘要：
Maxwell lattices, where the number of degrees of freedom equals the number of constraints, are known to host topologically-protected zero-frequency modes and states of self stress, characterized by a topological index called topological polarization. In this letter, we show that in addition to these known topological modes, with the help of a mirror symmetry, the inherent chiral symmetry of Maxwell lattices creates another topological index, the mirror-graded winding number (MGWN). This MGWN is a higher order topological index, which gives rise to topological zero modes and states of self stress at mirror-invariant domain walls and corners between two systems with different MGWNs. We further show that two systems with same topological polarization can have different MGWNs, indicating that these two topological indices are fundamentally distinct.
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