Emergent disorder and mechanical memory in periodic metamaterials

Chaviva Sirote-Katz, Dor Shohat, Carl Merrigan, Yoav Lahini, Cristiano Nisoli and Yair Shokef ()
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Chaviva Sirote-Katz: Tel Aviv University
Dor Shohat: Tel Aviv University
Carl Merrigan: Tel Aviv University
Yoav Lahini: Tel Aviv University
Cristiano Nisoli: Los Alamos National Laboratory
Yair Shokef: Tel Aviv University

Nature Communications, 2024, vol. 15, issue 1, 1-9

Abstract: Abstract Ordered mechanical systems typically have one or only a few stable rest configurations, and hence are not considered useful for encoding memory. Multistable and history-dependent responses usually emerge from quenched disorder, for example in amorphous solids or crumpled sheets. In contrast, due to geometric frustration, periodic magnetic systems can create their own disorder and espouse an extensive manifold of quasi-degenerate configurations. Inspired by the topological structure of frustrated artificial spin ices, we introduce an approach to design ordered, periodic mechanical metamaterials that exhibit an extensive set of spatially disordered states. While our design exploits the correspondence between frustration in magnetism and incompatibility in meta-mechanics, our mechanical systems encompass continuous degrees of freedom, and thus generalize their magnetic counterparts. We show how such systems exhibit non-Abelian and history-dependent responses, as their state can depend on the order in which external manipulations were applied. We demonstrate how this richness of the dynamics enables to recognize, from a static measurement of the final state, the sequence of operations that an extended system underwent. Thus, multistability and potential to perform computation emerge from geometric frustration in ordered mechanical lattices that create their own disorder.

Date: 2024
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DOI: 10.1038/s41467-024-47780-w

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