Topological transition in spectrum of skyrmion crystal with uniaxial anisotropy

TL;DR

This paper investigates the topological transition in the excitation spectrum of skyrmion crystals in thin ferromagnetic films, revealing how uniaxial anisotropy influences the spectrum and Berry curvature, with implications for magnetic topological phases.

Contribution

It demonstrates the existence of a topological transition in skyrmion crystal spectra influenced by uniaxial anisotropy, extending previous understanding of magnetic topological phenomena.

Findings

Topological transition occurs at specific anisotropy values.

The transition involves gap closing between breathing and counter-clockwise modes.

The phase diagram shows transition field dependence on anisotropy type.

Abstract

The band structure of elementary excitations of skyrmion crystal in thin ferromagnetic film with Dzyaloshinskii-Moriya interaction and uniaxial magnetic anisotropy under external magnetic field is studied. In the absence of anisotropy there is a topological transition in the spectrum of skyrmion crystal: the gap between breathing and counter-clock-wise modes closes, which is accompanied by changes of Berry curvature sign of these bands. In this work we demonstrate that such topological transition exists in some range of the uniaxial anisotropy values. We present a phase diagram showing that the value of the field of topological transition is higher in the easy-plane domain and lower in the easy-axis domain of anisotropy.