Stability of axisymmetric chiral skyrmions

TL;DR

This paper proves the linear stability and local minimality of axisymmetric chiral skyrmions in a chiral magnet model under large background fields, and demonstrates the existence of moving soliton solutions.

Contribution

It provides the first proof of linear stability of axisymmetric chiral skyrmions in the large field regime and shows their local minimality and dynamic existence.

Findings

Proved linear stability of axisymmetric chiral skyrmions.

Established strict local minimality of these skyrmions.

Demonstrated existence of moving soliton solutions under small spin transfer torque.

Abstract

We examine topological solitons in a minimal variational model for a chiral magnet, so-called chiral skyrmions. In the regime of large background fields, we prove linear stability of axisymmetric chiral skyrmions under arbitrary perturbations in the energy space, a long-standing open question in physics literature. Moreover, we show strict local minimality of axisymmetric chiral skyrmions and nearby existence of moving soliton solution for the Landau-Lifshitz-Gilbert equation driven by a small spin transfer torque.