Mechanical Properties of Nonreciprocal Crystal Lattices

In acoustic levitation, optical trapping, and dusty plasmas, non-reciprocal and non-additive interactions produce counterintuitive collective behavior. Many recent studies have highlighted this behavior but much remains unclear about how bulk properties arise from such unintuitive interactions. Since systems with non-reciprocal and non-additive interactions break symmetries that are inaccessible to traditional condensed matter systems, materials composed of non-reciprocally interacting particles can exhibit Non-Hermitian dynamics. This work serves to isolate the effects of non-reciprocity, from non-additive and nonlinear effects observed in empirical studies. We investigate how in a minimal mass and spring model, non-reciprocity specifically affects a crystal’s mechanical properties.