Designing topological interface states in phononic crystals based on the full phase diagrams

Abstract

The topological invariants of a periodic system can be used to define the topological phase of each band and determine the existence of topological interface states within a certain bandgap. Here, we propose a scheme based on the full phase diagrams, and design the topological interface states within any specified bandgaps. As an example, here we propose a kind of one-dimensional phononic crystals. By connecting two semi-infinite structures with different topological phases, the interface states within any specific bandgap or their combinations can be achieved in a rational manner. The existence of interface states in a single bandgap, in all odd bandgaps, in all even bandgaps, or in all bandgaps, are verified in simulations and experiments. The scheme of full phase diagrams we introduce here can be extended to other kinds of periodic systems, such as photonic crystals and designer plasmonic crystals.

arXiv comment20 pages, 6 figures

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• Effective Phononic Crystals for Non-Cartesian Elastic Wave Propagation
• Topological interface states induced by incident angle in the 1D elastic wave system
• Subwavelength Su-Schrieffer-Heeger topological modes in acoustic waveguides
• Topological band structure of surface acoustic waves on a periodically corrugated surface
• Topological optical and phononic interface mode by simultaneous band inversion
• Embedding 1D BDI topological dynamics into continuous elastic plates