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Main Authors: Zhu, Shiwei, Guan, Xinyuan, Sun, Zhen, Zhang, Qiuyao, Song, Changsheng
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.06777
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author Zhu, Shiwei
Guan, Xinyuan
Sun, Zhen
Zhang, Qiuyao
Song, Changsheng
author_facet Zhu, Shiwei
Guan, Xinyuan
Sun, Zhen
Zhang, Qiuyao
Song, Changsheng
contents We uncover a universal two-stage dynamics during skyrmion formation and establish its connection to equilibrium phases through the introduction of a chiral correlation $χ$. Stage I involves stripe coarsening governed by the exchange-to-DMI ratio $J'$, while stage II entails stripe contraction driven by the synergy between $J'$ and the anisotropy-to-DMI ratio $K'$. The magnetic field-to-DMI ratio $B'$ influences both stages. By combining symbolic regression with neural networks, we model the competition and cooperation among these parameters and derive a skyrmion formation criterion, $0.58 K'J' + μB'J' > 1$. Our model disentangles their distinct roles: $J'$ sets the stripe width, $K'$ primarily controls the skyrmion size, and $B'$ strongly affects the topological charge. This approach provides a general framework for predicting and controlling magnetic phases in chiral magnets.
format Preprint
id arxiv_https___arxiv_org_abs_2511_06777
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Universal two-stage dynamics and phase control in skyrmion formation
Zhu, Shiwei
Guan, Xinyuan
Sun, Zhen
Zhang, Qiuyao
Song, Changsheng
Mesoscale and Nanoscale Physics
We uncover a universal two-stage dynamics during skyrmion formation and establish its connection to equilibrium phases through the introduction of a chiral correlation $χ$. Stage I involves stripe coarsening governed by the exchange-to-DMI ratio $J'$, while stage II entails stripe contraction driven by the synergy between $J'$ and the anisotropy-to-DMI ratio $K'$. The magnetic field-to-DMI ratio $B'$ influences both stages. By combining symbolic regression with neural networks, we model the competition and cooperation among these parameters and derive a skyrmion formation criterion, $0.58 K'J' + μB'J' > 1$. Our model disentangles their distinct roles: $J'$ sets the stripe width, $K'$ primarily controls the skyrmion size, and $B'$ strongly affects the topological charge. This approach provides a general framework for predicting and controlling magnetic phases in chiral magnets.
title Universal two-stage dynamics and phase control in skyrmion formation
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2511.06777