拓扑微机电系统
Topological Micro-Electro-Mechanical Systems
摘要：
我们探讨微机电系统（MEMS）的动力学拓扑方面，这是一个电路系统和质量弹簧系统的组合。最简单的例子是电容器和弹簧的顺序链。结果表明，这样的链表现出新的拓扑动力学相对于它的振荡模式。一方面，当系统自由振荡时，系统服从Su-Schrieffer-Heeger模型，拓扑荷由缠绕数给出。拓扑和平凡的阶段区分通过测量最外层板的动态。另一方面，当它经历周期性运动的时间，该系统是由一个反转对称三聚体模型，和拓扑相位的特征在于由反转对称指标。出现拓扑边缘状态，这是很好的信号通过测量机电阻抗共振。我们的结果将打开一个有吸引力的领域的拓扑MEMS。
英文摘要：
We explore the topological aspect of dynamics in a micro-electro-mechanical system (MEMS), which is a combination of an electric-circuit system and a mass-spring system. A simplest example is a sequential chain of capacitors and springs. It is shown that such a chain exhibits novel topological dynamics with respect to its oscillation modes. On one hand, when it undergoes free oscillation, the system is governed by the Su-Schrieffer-Heeger model, and the topological charge is given by a winding number. Topological and trivial phases are differentiated by measuring the dynamics of the outermost plate. On the other hand, when it undergoes periodical motion in time, the system is governed by an inversion-symmetric-trimer model, and the topological phases are characterized by an inversion-symmetry indicator. There emerge topological edge states, which are well signaled by measuring electromechanical-impedance resonance. Our results will open an attractive field of topological MEMS.
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