关键词: 界面态/
可调/
拓扑相变/
颗粒声子晶体
English Abstract
The topological phase transition and the tunable interface states in granular crystal
Wang Qing-Hai1,Li Feng1,
Huang Xue-Qin1,
Lu Jiu-Yang1,
Liu Zheng-You2
1.Department of Physics, South China University of Technology, Guangzhou 510640, China;
2.Department of Physics, Wuhan University, Wuhan 430072, China
Fund Project:Project supported by the National Basic Research Program of China (Grant No. 2015CB755500), the National Natural Science Foundation of China (Grant Nos. 61271139, 11572318, 11604102, 11374233), Guangdong Innovative and Entrepreneurial Research Team Program, China (Grant No. 2016ZT06C594), and the National Postdoctoral Program for Innovative Talents, China (Grant No. BX201600054).Received Date:18 August 2017
Accepted Date:24 October 2017
Published Online:05 November 2017
Abstract:Topological phase is a new degree of freedom to describe the state of matter in condensed matter physics. One could predict the existence of the interface state between two topological different phononic crystals. The band structures of phononic crystal depend on the characteristics of their composite and their combination, such as geometry, filling fraction, and stiffness. However, after the phononic crystal is fabricated out, it is relatively difficult to tune their band structure and its topology. In order to broaden the application scope of phononic crystals, different kinds of tunable phononic crystals have been proposed. One method to achieve this tunability is to introduce nonlinearity into the phononic crystals. Granular crystals is one type of tunable nonlinear material, whose nonlinearity stems from nonlinear Hertzian contact. By changing the static precompression, the dispersion of granular crystals can be tuned. In this paper, by combining topology with nonlinear we create a new type of interface state switch without changing the experimental setup. Based on the Su-Schrieffer-Heeger (SSH) model–an example of a one dimensional (1D) topological insulator, we present a 1D nonlinear granular crystal, to realize the topological transition by precompression. First, we construct a 1D mechanical structure, which is made up of nonlinear granular crystal and linear phononic crystal. The 1D nonlinear granular crystal is simplified as a “mass-spring” model with tunable elastic constant and invariable elastic constant. By calculating the band topology–the Zak phase, we found that the Zak phase of the two bands can switch from π to 0. There exist a critical precompression F0, when F F0 the Zak phase of the band is π, when F > F0 the Zak phase is 0. The granular crystal vary from nontrivial bandgap to trivial one as precompression gradually increase. This effect enables us to design interface state switch at the interface between granular crystals with trivial and nontrivial band gap. Furthermore, when F F0, we find that the localization of interface state decreases as the applied precompression increases. Thus, we investigate existence of the interface state under different precompression and found that the interface state can be controlled freely. We anticipate these results to enable the creation of novel tunable acoustic devices.
Keywords: interface state/
tunability/
topological phase transition/
granular crystal
