The switching of magnetization by electric current pulse in the ${\phi }_0$ Josephson junction formed by ordinary superconductors and a magnetic noncentrosymmetric interlayer is studied. The ground state of this junction is characterized by the finite phase difference ${\phi }_0$, which is proportional to the strength of the spin-orbit interaction and the exchange field in the normal metal. Based on the Landau-Lifshits-Gilbert and resistively shunted junction model equations we build an analytical description of the magnetization dynamics induced by an arbitrary current pulse. We formulate the criteria for magnetization reversal and, using the obtained results, the form and duration of the current pulse are optimized. The analytical and numerical results are in excellent agreement at $Gr{I}_p\gg 1$, where $G$ is a Josephson-to-magnetic energy ratio, $r$ is a strength of spin-orbit interaction, and $I_p$ is a value of the current pulse. The analytical result allows one to predict magnetization reversal at the chosen system parameters and explains the features of magnetization reversal in the $G$-$r$ and $G$-$\alpha$ diagrams, where $\alpha$ is the Gilbert damping. We propose to use such a ${\phi }_0$ Josephson junction as a memory element, with the information encoded in the magnetization direction of the ferromagnetic layer.

中文翻译：

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φ0约瑟夫逊结的磁化反转分析标准

电流脉冲中磁化强度的切换 ${\phi }_0$研究了由普通超导体和非中心对称磁性中间层形成的约瑟夫森结。该结的基态的特征在于有限的相位差${\phi }_0$，它与自旋轨道相互作用的强度和普通金属中的交换场成正比。基于Landau-Lifshits-Gilbert和电阻分流结模型方程，我们对任意电流脉冲引起的磁化动力学进行了分析描述。我们制定了磁化反转的标准，并使用获得的结果，对电流脉冲的形式和持续时间进行了优化。分析和数值结果在$G\mathrm{[R}{\mathrm{一世}}_p\gg \mathrm{1个}$，在哪里 $G$ 是约瑟夫森与磁能之比， $\mathrm{[R}$ 是自旋轨道相互作用的优势，并且 ${\mathrm{一世}}_p$是当前脉冲的值。分析结果使人们能够预测所选系统参数下的磁化反转，并解释了磁化反转的特征。$G$--$\mathrm{[R}$ 和 $G$--$\alpha$ 图，在哪里 $\alpha$是吉尔伯特阻尼。我们建议使用这样的${\phi }_0$ 约瑟夫森结作为存储元件，其信息在铁磁层的磁化方向上编码。