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arXiv · 1711.07717

Stability of axisymmetric chiral skyrmions

Xinye Li·Christof Melcher
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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.

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Xinye Li, Christof Melcher. 2017-11-21. Stability of axisymmetric chiral skyrmions. https://arxiv.org/abs/1711.07717

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