We discuss the interaction of the magnetization in the domain-wall (DW) area with the eddy current that is induced by the DW propagation in a bi-stable microwire of a ferromagnetic metal. The ordering structure of the microwire consists of an axially magnetized inner core and an outer shell of radially or circumferentially magnetized domains. The electrical current in the ferromagnetic medium is spin-polarized; thus, it exerts the spin-transfer torque on the magnetization inside DWs. The effect is inherent in a soluble (Ishimori-like) model of the nonlinear magnetization dynamics that is adapted to describing the inner core of the microwire. Previously established static DWs in microwires are known as transverse, vortex, planar, and conical DWs, of whom planar DWs are specific due to lack of rotational symmetry. We analyze dynamical single-DW solutions, thus noticing our model to be capable of describing an observed unidirectional effect in the field-driven propagation of planar DWs. Thus, we claim a significant eddy-current effect on moving DW to realize in DWs of that kind.

中文翻译：

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涡流自旋转移对铁磁微丝中传播畴壁的影响

我们讨论了畴壁 (DW) 区域中的磁化强度与由 DW 传播在铁磁金属的双稳态微丝中引起的涡流的相互作用。微丝的有序结构由轴向磁化的内核和径向或周向磁化畴的外壳组成。铁磁介质中的电流是自旋极化的；因此，它对 DW 内部的磁化施加了自旋转移扭矩。这种效应是非线性磁化动力学的可溶（Ishimori 样）模型所固有的，该模型适用于描述微丝的内核。先前在微丝中建立的静态 DW 被称为横向、涡流、平面和锥形 DW，其中平面 DW 由于缺乏旋转对称性而具有特异性。我们分析了动态单 DW 解决方案，从而注意到我们的模型能够描述在平面 DW 的场驱动传播中观察到的单向效应。因此，我们声称对移动 DW 的显着涡流效应在此类 DW 中实现。