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Programmable binary coding in dual-frequency gaps on a higher-order sonic topological insulator

Chengxin Deng (邓程欣)†, Jin Li (黎锦)†, Kun Zhang (张坤), Dongfeng Sha (沙冬峰), Jinlong Luo (罗金龙), Jian Huang (黄鉴), Xiaoyan Wang (王晓燕), and Hai Yang (杨海)*

  • *Contact author: kmyangh@263.net
  • †These authors contributed equally to this work.
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Phys. Rev. Applied 23, 014010 – Published 6 January, 2025

DOI: https://doi.org/10.1103/PhysRevApplied.23.014010

Abstract

In recent years, higher-order sonic topological insulators have transformed our understanding of how sonic waves are trapped, and have led to the discovery of unique edge and corner states resistant to small perturbations. Programmable coding of a sonic topological insulator realizes sonic logic or and xor gates. Despite the rapid advancements in this field, it has been a significant challenge to achieve programmable binary codes of sonic waves. We propose a solution to this challenge, based on the higher-order states. Using the parity of corner states and the phase difference of two sonic sources, we can realize programming binary coding of the numbers 0–7. More importantly, through meticulous design, we successfully achieve controllable excitation of these corner states and realize programmable binary coding of dual-frequency gaps based on this higher-order sonic topological insulator, such as the binary numbers 000, 001, 010, 011, 100, 101, 110, and 111. The corner states enrich our comprehension of higher-order sonic topological insulators and provide an experimental platform for exploring topological corner states. Our results provide an approach for developing new sonic devices that can achieve programmable responses under various operating conditions.

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Phys. Rev. Applied 23, 014010– Published 6 January, 2025
  • Received 18 September 2024
  • Revised 1 December 2024
  • Accepted 12 December 2024
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