We theoretically study the antiferromagnetic domain wall motion actuated by an inhomogeneous external magnetic field. The Lagrangian and the equations of motion of antiferromagnetic spins under an inhomogeneous magnetic field are derived, first in terms of the Néel vector, and then using collective coordinates of the domain wall. A solution is found that describes the actuation of a domain wall by an inhomogeneous field, in which the motion is initiated by a paramagnetic response of wall magnetization, which is then driven by a Stern–Gerlach like force. The effects of pinning potential are also investigated. These results are in good agreement with atomistic simulations. While the present formulation contains the so-called intrinsic magnetization associated with Néel texture, a supplementary discussion is given to reformulate the theory in terms of physical magnetization without the intrinsic magnetization.

中文翻译：

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磁场驱动的反铁磁畴壁运动

我们从理论上研究了由不均匀外部磁场引起的反铁磁畴壁运动。首先根据Néel向量，然后使用畴壁的集体坐标，得出拉格朗日方程和在非均匀磁场下反铁磁自旋的运动方程。发现了一种解决方案，该解决方案描述了非均匀磁场对畴壁的致动，其中运动是由壁磁化的顺磁响应引发的，然后由斯特恩-格拉拉赫力驱动。还研究了钉扎电位的影响。这些结果与原子模拟非常吻合。虽然本配方包含与Néel质感相关的所谓固有磁化强度，