Magneto-Mechanical Topological Lego

There is a rising interest in producing topological insulating metamaterials, due to their robustness in face of defects, which may lead to producing disorder resilient waveguides and communication lines. In the last decade many such synthetic topological insulators have been produced in electronic, optical, and acoustic systems. However, these metamaterials are not easily reconfigurable, they are designed based on a specific set of parameters, and therefore limited in their ability to explore different phases of matter. We present a Lego like tool kit, which can be utilized to produce different acoustic metamaterials with tailored topological properties. Our system consists of discrete coupled magnet-loaded resonators, where the coupling rates are controlled by the distance over which the magnet interaction takes place. We demonstrate experimentally, that by changing the coupling rates arrangement in an array, a variety of different topological phases in 1d and 2d can be achieved, using the same Lego like elements. This toolkit offer flexibility in design, and can be used to produce easily reconfigurable acoustic metamaterials.