论文标题

拓扑微电机系统

Topological Micro-Electro-Mechanical Systems

论文作者

Ezawa, Motohiko

论文摘要

我们探讨了微机械系统(MEMS)中动力学的拓扑方面,该系统是电路系统和质量弹簧系统的组合。一个最简单的例子是一组电容器和弹簧链。结果表明,这种链相对于其振荡模式表现出了新颖的拓扑动力学。一方面,当它进行自由振荡时,系统由Su-Schrieffer-Heeger模型支配,并且拓扑电荷由绕组数字给出。通过测量最外面板的动力学来区分拓扑和微不足道的相位。另一方面,当它在时间上进行周期性运动时,系统受反感对称性器模型的控制,拓扑阶段的特征是反转对称指标。那里是拓扑边缘状态,通过测量机电阻抗共振,可以很好地发出信号。我们的结果将开辟一个有吸引力的拓扑成员领域。

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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