# Spin waves in planar quasicrystal of Penrose tiling

## TL;DR

This paper explores the effects of quasiperiodic Penrose tiling on spin wave spectra in 2D magnonic structures, revealing distinctive magnonic gaps and mode localization due to long-range order.

## Contribution

It introduces a method to analyze spin waves in Penrose tiling-based magnonic structures using the plane wave method and demonstrates the impact of quasiperiodicity on magnonic gaps and mode localization.

## Key findings

- More distinctive magnonic gaps in high contrast materials
- Quasiperiodicity influences spin wave localization
- Long-range order affects the spectrum of spin waves

## Abstract

We investigated two-dimensional magnonic structures which are the counterparts of photonic quasicrystals forming Penrose tiling. We considered the slab composed of Ni (or Py) disks embedded in Fe (or Co) matrix. The disks were arranged in quasiperiodic Pernose-like structure. The infinite quasicrystal was approximated by its rectangular section with periodic boundary conditions applied. This approach allowed us to use the plane wave method to find the frequency spectrum of eigenmodes for spin waves and their spatial profiles. The calculated integrated density of states shows more distictive magnonic gaps for the structure composed of materials of high magnetic contrast (Ni and Fe) and relatively high filling fraction. This proves the impact of quasiperiodic long-range order on the spectrum of spin waves. We also investigated the localization of SW eingenmodes resulting from the quasipeiodicity of the structure.