RT Journal Article T1 Subwavelength multiple topological interface states in one-dimensional labyrinthine acoustic metamaterials A1 Zhang, Zhiwang A1 Cheng, Ying A1 Liu, Xiaojun A1 Christensen, Johan AB Acoustic analogies of topological insulators reside at the frontier of ongoing metamaterials research. Of particular interest are the topological interface states that are determined by the Zak phase, which is the geometric phase characterizing the topological property of the bands in one-dimensional systems. Here we design double-channel Mie resonators based on the so-called labyrinth acoustic metamaterials, which can be considered equivalent to a ultraslow medium of large refractive index, inevitably containing structural features on a subwavelength scale. The metamolecule containing two cells is engineered to host the degenerated states through a zone-folding mechanism, whereupon the Zak phase transition takes place when the interval between two cells changes from shrunk to expanded. Furthermore, the topological interface state displays strong robustness against randomly introduced perturbations whose acoustic intensity is enhanced by nearly a factor1600 in comparison to an ordinary waveguide. PB American Physical Society SN 1098-0121 YR 2019 FD 2019-06-01 LK https://hdl.handle.net/10016/31597 UL https://hdl.handle.net/10016/31597 LA eng NO This work was supported by National Key R&D Program of China (2017YFA0303702), NSFC (11834008,11874215, 11674172, and 11574148), Jiangsu ProvincialNSF (BK20160018), the Fundamental Research Funds forthe Central Universities (020414380001) and Nanjing University Innovation and Creative Program for PhD candidate(CXCY17-11). Z.Z. acknowledges the support from the ChinaScholarship Council. J.C. acknowledges the support from theEuropean Research Council (ERC) through the Starting GrantNo. 714577 PHONOMETA and from the MINECO through aRamón y Cajal grant (Grant No. RYC-2015-17156). DS e-Archivo RD 27 jul. 2024