Dark state, zero-index and topology in phononic metamaterials with negative mass and negative coupling

• Published in: New journal of physics 2019-09, Vol.21 (9), p.93033
• Main Authors: Zhang, Danmei, Ren, Jie, Zhou, Tianxiong, Li, Baowen
• Format: Article
• Language: English
• Subjects: Couplings; Critical point; dark state; double negative; Metamaterials; Oscillators; Phase transitions; phononic metamaterial; Physics; Switches; Topology; zero-index
• ISSN: 1367-2630; 1367-2630
• DOI: 10.1088/1367-2630/ab3f6d

Phononic metamaterials have attracted extensive attention since they are flexibly adjustable to control the transmission. Here we study a one-dimensional phononic metamaterial with negative mass and negative coupling, made of resonant oscillators and chiral couplings. At the frequency where the effective mass and coupling are both infinite, a flat band emerges that induces a sharply high density of states, reminiscent of the phononic dark states. At the critical point of band degeneracy, a phononic Dirac-like point emerges where both the effective mass and the inverse of effective coupling are simultaneously zero, so that zero-index is realized for phonons. Moreover, the phononic topological phase transition is observed when the phononic band gap switches between single mass-negative and single coupling-negative regimes. When these two distinct single negative phononic metamaterials are connected to each other, a phononic topological interface state is identified within the gap, manifested as the phononic counterpart of the topological Jackiw-Rebbi solution.