Stability of axisymmetric chiral skyrmions

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 phy...

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Bibliographic Details
Published in:Journal of functional analysis 2018-11, Vol.275 (10), p.2817-2844
Main Authors: Li, Xinye, Melcher, Christof
Format: Article
Language:English
Subjects:
Landau–Lifschitz equations
Linear stability
Micromagnetics
Topological solitons
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Summary: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 solutions for the Landau–Lifshitz–Gilbert equation driven by small spin transfer torques.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2018.01.019