Edge and corner skin effects of chirally coupled magnons characterized by a topological winding tuple

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.