Stability of axisymmetric chiral skyrmions
Classical Analysis and ODEs
2017-11-22 v1 Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1711.07717,
title = {Stability of axisymmetric chiral skyrmions},
author = {Xinye Li and Christof Melcher},
journal= {arXiv preprint arXiv:1711.07717},
year = {2017}
}