2020/11/30 by Motohiko Ezawa
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Capacitor #Chain (unit) #Chemistry #Condensed matter physics #Electrical engineering #Engineering #Geometry #Mathematics #Mechanical and Optical Resonators #Oscillation (cell signaling) #Physics #Point reflection #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Symmetry (geometry) #Topological Materials and Phenomena #Topological dynamics #Topological quantum number #Topology (electrical circuits) #Voltage #Winding number #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.103.155425
published as Phys. Rev. B 103, 155425 (2021) · 5 pages, 5 figures
openalex publication_date 2021/04/26 · arxiv created 2021/04/28 · arxiv updated 2021/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explore the topological aspect of dynamics in a microelectromechanical system (MEMS), which is a combination of an electric-circuit system and a mass-spring system. The 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.