Periodical equilibrium states of magnetization exist in chiral ferromagnetic films, if the constant of antisymmetric exchange (Dzyaloshinskii-Moriya interaction) exceeds some critical value. Here, we demonstrate that this critical value can be significantly modified in curved film. The competition between symmetric and antisymmetric exchange interactions in a curved film can lead to a new type of domain wall which is inclined with respect to the cylinder axis. The wall structure is intermediate between Bloch and N\'eel ones. The exact analytical solutions for phase boundary curves and the new domain wall are obtained.

中文翻译：

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曲率对手性磁体相变的影响

如果反对称交换常数（Dzyaloshinskii-Moriya相互作用）超过某个临界值，则手性铁磁膜中就会存在周期性的磁化平衡状态。在这里，我们证明了该临界值可以在弯曲膜中得到显着改善。弯曲薄膜中对称和非对称交换相互作用之间的竞争会导致一种新型的畴壁，该畴壁相对于圆柱轴倾斜。墙的结构介于Bloch和N''el之间。获得了相位边界曲线和新畴壁的精确解析解。