Zak phases and band properties in acoustic metamaterials with negative modulus or negative density

Li Fan, Wei-wei Yu, Shu-yi Zhang, Hui Zhang, and Jin Ding
Phys. Rev. B 94, 174307 – Published 28 November 2016
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Abstract

Zak phases in two types of acoustic metamaterials with negative density or negative modulus are studied. Different from phononic crystals based on Bragg scattering, extraordinary performance in acoustic metamaterials originates from local resonance. We find that the Zak phases in metamaterials are determined by the resonances of scatterers, side pipes, or membranes. Additionally, it is observed that the topological transition points, symmetrical properties of edge states, input impedances, and reflection phases in forbidden bands are all related to the resonances of the scatterers, and the relationship can be used to create surface states at the interface of two types of acoustic metamaterials.

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  • Received 27 June 2016
  • Revised 31 October 2016

DOI:https://doi.org/10.1103/PhysRevB.94.174307

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Li Fan*, Wei-wei Yu, Shu-yi Zhang, Hui Zhang, and Jin Ding

  • Lab of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093, China

  • *fanli@nju.edu.cn

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Issue

Vol. 94, Iss. 17 — 1 November 2016

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