# Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals

## TL;DR

This paper predicts that antiferromagnetic skyrmion crystals host topologically protected magnon edge states at low energies, making them promising for topological magnonic applications.

## Contribution

It demonstrates the existence of chiral magnon edge states in antiferromagnetic skyrmion crystals across various parameters, highlighting their potential for topological magnonics.

## Key findings

- Edge states are topologically protected and appear within the first bulk magnon gap.
- Chiral magnonic edge states are robust over a wide range of magnetic fields and Dzyaloshinskii-Moriya interactions.
- Edge states occur at the lowest energies, facilitating experimental detection.

## Abstract

Antiferromagnetic skyrmion crystals are magnetic phases predicted to exist in antiferromagnets with Dzyaloshinskii-Moriya interactions. Their spatially periodic noncollinear magnetic texture gives rise to topological bulk magnon bands characterized by nonzero Chern numbers. We find topologically-protected chiral magnonic edge states over a wide range of magnetic fields and Dzyaloshinskii-Moriya interaction values. Moreover, and of particular importance for experimental realizations, edge states appear at the lowest possible energies, namely, within the first bulk magnon gap. Thus, antiferromagnetic skyrmion crystals show great promise as novel platforms for topological magnonics.