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Abstract:
We investigate a long-ranged coupled and non-Hermitian two-dimensional array of nanomagnets, fabricated on a thin magnetic substrate and subjected to an in-plane magnetic field. We predict topology-driven edge and corner skin effects of magnetic eigenmodes with the localization position at boundaries precisely characterized by a topological winding tuple (W1,W2). By varying the direction of the in-plane field, all magnon states pile up either at different edges of the array with (W1=±1,W2=0) or (W1=0,W2=±1), or at different corners characterized by (W1=±1,W2=±1). Exploiting the non-Hermitian topology is potentially helpful for designing useful magnonic metasurfaces in the future.
