This talk will investigate the dispersion properties of piezoelectric metamaterials with non-local circuit interactions. A general lumped-element dispersion modeling framework is developed and applied to piezoelectric media with non-local circuit coupling. While the contribution from the underlying mechanical lattice is always Hermitian, it is straightforward to make the overall system non-Hermitian using unbalanced or directional electrical interactions. In this way, piezoelectric metamaterials are a natural venue to explore non-Hermitian acoustic phenomena. Case studies are presented for various non-local circuit interactions and electrical lattices, highlighting non-reciprocal acoustic propagation, topological properties, and system stability.
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