Strongly-interacting nanomagnetic arrays are ideal systems for exploring the
frontiers of magnonic control. They provide functional reconfigurable platforms
and attractive technological solutions across storage, GHz communications and
neuromorphic computing. Typically, these systems are primarily constrained by
their range of accessible states and the strength of magnon coupling phenomena.
Increasingly, magnetic nanostructures have explored the benefits of expanding
into three dimensions. This has broadened the horizons of magnetic microstate
spaces and functional behaviours, but precise control of 3D states and dynamics
remains challenging.
Here, we introduce a 3D magnonic metamaterial, compatible with
widely-available fabrication and characterisation techniques. By combining
independently-programmable artificial spin-systems strongly coupled in the
z-plane, we construct a reconfigurable 3D metamaterial with an exceptionally
high 16N microstate space and intense static and dynamic magnetic coupling. The
system exhibits a broad range of emergent phenomena including ultrastrong
magnon-magnon coupling with normalised coupling rates of γΔω​=0.57 and magnon-magnon cooperativity up to C = 126.4, GHz
mode shifts in zero applied field and chirality-selective magneto-toroidal
microstate programming and corresponding magnonic spectral control