Nonreciprocal response theory of non-Hermitian mechanical metamaterials: Response phase transition from the skin effect of zero modes

Abstract

The author shows that nonreciprocal mechanical systems become dynamically unstable to external perturbations when the right and left eigenmodes localize at opposite edges of the system. Thereby, the underlying topological phase transition is linked to a concrete physical effect. This response phase transition singles such systems out as highly susceptible nonlocal sensors.

Topics & Concepts