Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge

TL;DR

This paper predicts topological magnon states in skyrmionium lattices with zero topological charge, introducing the concept of weighted magnetic flux and mapping to the Haldane model.

Contribution

It reveals the emergence of topological magnon states in skyrmionium lattices with zero topological charge, challenging previous assumptions and providing new theoretical frameworks.

Findings

Prediction of nontrivial topological magnon states in skyrmionium lattices

Introduction of weighted magnetic flux concept

Calculation of magnon thermal Hall conductivity

Abstract

We predict the emergence of nontrivial topological magnon states in the skyrmionium lattice with zero topological charge. We propose the concept of weighted magnetic flux, which provides a clear physical picture for this anomalous phenomenon. We also map the skyrmionium lattice onto the Haldane model, offering an alternative framework for interpreting this. Our findings challenge the conventional wisdom that such states are linked to nonzero topological charge in skyrmion lattices, offering a new perspective in topological magnonics. To facilitate experimental validation, we propose two methods for preparing the skyrmionium lattice and calculate the induced magnon thermal Hall conductivity, which is a key indicator in transport measurements.