AI 中文总结
该研究提出DIVA假设，将微扰响应内置于磁化分布，经验证其可显著降低坡莫合金圆盘磁涡旋模拟的角偏差与能量偏差。
AI 中文摘要
基于Thiele方法的铁磁纳米点中磁涡旋动力学描述依赖于磁化假设，这类假设仅能描述平衡结构，无法体现微扰诱导的形变。本文提出形变图像涡旋假设（Deformed Image Vortex Ansatz，DIVA）：这是一种具备微扰感知能力的假设，外部微扰的响应被内置于磁化分布本身，而非作为修正项附加于动力学过程。本文针对坡莫合金（Permalloy）纳米点施加均匀静止面内场的场景验证该概念，该场景的形变可解析处理。基于对称性的微扰展开确定了圆盘周围主导形变是单一m=1谐波，而能量最小化与主导平衡分析得到了径向分布的闭式插值函数。针对纵横比t/R=0.1和0.0125的坡莫合金圆盘与微磁模拟进行对比，该实现相对于双涡旋假设，圆盘平均角偏差降低了3至6倍（取决于几何结构和场强），而较厚圆盘的总能量偏差降低了约6倍。
英文摘要
Thiele-based descriptions of magnetic vortex dynamics in thin ferromagnetic nanodots rely on magnetization ansätze that describe the equilibrium texture but cannot represent perturbation-induced deformations. We introduce the Deformed Image Vortex Ansatz (DIVA): a perturbation-aware ansatz in which the response to an external perturbation is built into the magnetization profile itself, rather than appended to the dynamics as a correction. Here, we demonstrate the concept for a uniform, stationary in-plane field applied to a Permalloy nanodot, for which the deformation is analytically tractable. A symmetry-based perturbative expansion identifies the leading deformation as a single $m = 1$ harmonic around the disk, while energy minimization and a dominant-balance analysis yield a closed-form interpolant for the radial profile. Benchmarked against micromagnetic simulations on Permalloy disks of aspect ratio $t/R = 0.1$ and $0.0125$, this realization reduces the disk-averaged angular deviation by a factor of 3 to 6 relative to the two-vortex ansatz, depending on geometry and field, and reduces the total-energy deviation by about a factor of six in the thicker disk.
Comments18 pages, 8 figures, 2 tables. Includes Supplemental Material (Secs. S1-S6) appended to the main text
