A spin wave (SW) propagating in an external electric field acquires an extra phase, the so-called Aharonov– Casher phase. To linear order, that is equivalent the SW frequency shift linear in both the applied electric field and the wave vector of SW’s and can be described by adding effective Dzyaloshinskii–Moriya-like interaction between spins. This effect is a promising way to control and manipulate magnetization precession dynamics by electric field and opens up a new way of SWs steering in magnonic devices. The goal of the report is to emphasize a fundamental physical difference in the nature of external electric field effect through the Aharonov–Casher phase shift and of a voltage control of magnetic anisotropy (VCMA). In the context of an experimental performance, we deal with almost identical experimental conditions. Yet, from the quantum physics point of view, we deal with different effects and this is important to understand the experimental results. In the case of the Aharonov–Casher phase shift it is a global nonlocal (topological) effect and in the case of VCMA it is the influence on a system’s local (Landau) magnetic parameters (e.g., magnetic anisotropy).

中文翻译：

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Aharonov-Casher 效应和磁化动力学的电场控制

在外部电场中传播的自旋波 (SW) 获得一个额外的相位，即所谓的 Aharonov-Casher 相位。对于线性顺序，即等效于外加电场和 SW 的波矢量中的 SW 频移线性，并且可以通过在自旋之间添加有效的 Dzyaloshinskii-Moriya 式相互作用来描述。这种效应是通过电场控制和操纵磁化进动动力学的一种很有前途的方法，并开辟了一种在磁子器件中进行 SW 转向的新方法。该报告的目标是通过 Aharonov-Casher 相移和磁各向异性 (VCMA) 的电压控制来强调外部电场效应本质上的基本物理差异。在实验性能的背景下，我们处理几乎相同的实验条件。然而，从量子物理学的角度来看，我们处理不同的效应，这对于理解实验结果很重要。在 Aharonov-Casher 相移的情况下，它是全局非局部（拓扑）效应，而在 VCMA 的情况下，它是对系统局部（朗道）磁参数（例如，磁各向异性）的影响。