Stability of axisymmetric chiral skyrmions

2017/11/21 by Xinye Li, Li, Xinye, Christof Melcher +1 · 3 citations
Mathematics · Physics and Astronomy · #35Q82 #49S05 #82D40 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Magnetic properties of thin films #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #math-ph #math.AP #math.CA #math.MP #msc:35Q82 #msc:49S05 #msc:82D40

paper · pdf · doi:10.48550/arxiv.1711.07717

arxiv created 2017/11/21 · openalex publication_date 2017/11/21 · arxiv updated 2017/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Existence of solitary waves in higher dimensions

Cited by

• Bubbling analysis of bimeron configurations
• Saddle Point Configurations for Spherical Ferromagnets
• The conformal limit for bimerons in easy-plane chiral magnets

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