Topologically Protected Exceptional Point with Local Non-Hermitian Modulation in an Acoustic Crystal

Zhongming Gu, He Gao, Tuo Liu, Shanjun Liang, Shuowei An, Yong Li, and Jie Zhu
Phys. Rev. Applied 15, 014025 – Published 14 January 2021

Abstract

The topological edge state (TES) may emerge at the interface between acoustic crystals with distinct topological properties. It supports robust wave phenomena against geometry imperfections. By imposing holistic onsite gains and losses in PT symmetric Su-Schrieffer-Heeger lattices, zero mode can be obtained from the convergence of two splitting TES modes induced by adjacent coupling. However, the nonlocal non-Hermiticity requires exorbitant configuration on each atom, resulting in complex systems. Here, we demonstrate the effect of local non-Hermitian modulation to the coupled TESs, utilizing passive acoustic crystals with sandwiched arrangements. Local non-Hermiticity is introduced at the position of one of the TESs to manipulate the splitting TESs. By suitably adjusting the non-Hermitian strength, the splitting TESs experience the coalescence process along with the asymmetric reflection and absorption near and beyond the exceptional point. Due to the topological essentials, the emergence of the exceptional point also can be proved to be robust to the geometrical disorders. Our results reveal that coupled TESs can be modulated by local non-Hermiticity to realize the extraordinary scattering phenomena, which may inspire more acoustic functional devices based on the topological or non-Hermitian characteristics.

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  • Received 11 August 2020
  • Revised 3 November 2020
  • Accepted 14 December 2020

DOI:https://doi.org/10.1103/PhysRevApplied.15.014025

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Interdisciplinary PhysicsFluid Dynamics

Authors & Affiliations

Zhongming Gu1,2, He Gao1,2, Tuo Liu1,2, Shanjun Liang1,2, Shuowei An1, Yong Li3,*, and Jie Zhu1,2,†

  • 1Research Center for Fluid-Structure Interactions, Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong SAR, People’s Republic of China
  • 2The Hong Kong Polytechnic University Shenzhen Research Institute, Shenzhen 518057, People’s Republic of China
  • 3Institute of Acoustics, Tongji University, Shanghai 200092, People’s Republic of China

  • *yongli@tongji.edu.cn
  • jiezhu@polyu.edu.hk

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Vol. 15, Iss. 1 — January 2021

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