Actively controllable topological phase transition in homogeneous piezoelectric rod system. (April 2020)

• Record Type: Journal Article
• Authors: Zhou, Weijian; Wu, Bin; Chen, Zhenyu; Chen, Weiqiu; Lim, C.W.; Reddy, J.N.
• Is Part Of: Journal of the mechanics and physics of solids. Volume 137(2020)
• Publication Date: 2020-04
• Subjects: Actively controllable -- Interface mode -- Piezoelectric rod -- Topological phase inversion; Mechanics, Applied -- Periodicals; Solids -- Periodicals; Mechanics -- Periodicals; Mécanique appliquée -- Périodiques; Solides -- Périodiques; Mechanics, Applied; Solids; Periodicals; 531.05
• DOI: 10.1016/j.jmps.2019.103824
• Languages: English
• ISSNs: 0022-5096

Abstract

Highlights: The Zak phase, a constant to determine the topological properties in 1D systems, is theoretically calculated by employing transfer matrix method. The topological phase inversion is realized in a homogeneous piezoelectric system by varying the electrical boundary conditions. The location of the Dirac point can be changed smoothly over a wide range by controlling the electrical boundary conditions. Different arrays of electrically open and electrically closed boundary conditions can switch the topological phase. Abstract: By employing periodic electrical boundary conditions, an innovative method to generate actively tunable topologically protected interface mode in a "homogeneous" piezoelectric rod system is proposed. Made of homogeneous material and with uniform structure, each unit cell of the piezoelectric rod system consists of three sub-rods forming an A-B-A structure, where the two A sub-rods have the same geometry and electric boundary conditions. It is discovered that the switch of electrical boundary conditions from A-closed and B-open to A-open and B-closed will yield topological phase inversion, based on which topologically protected interface mode is realized. When capacitors CA and CB are connected to the electrodes of sub-rods A and B, respectively, a variety of physical phenomena is observed. On one hand, varying the capacitance in a certain path leads to topological phase transition. On the other hand, different variation paths of the capacitors give rise to different locations of topological phase transition points. This discovery allows the eigenfrequency of the topologically protected edge mode thus formed be actively controlled by appropriately varying the capacitance. The active topological protected interface mode may find wide engineering applications that require high sensitivity sensing, nondestructive testing, reinforcing energy harvesting, information processing, and others. Graphical abstract: Image, graphical abstract