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arXiv 2305.17606cond-mat.mes-hallcond-mat.other
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热涨落下磁性斯格明子平均速度拓扑量子化的非厄米绝热微扰理论

Nonhermitian adiabatic perturbation theory of topological quantization of the average velocity of a magnetic skyrmion under thermal fluctuations

Shan-Chang Tang, Yu Shi

AI总结:

本文研究类棘轮极化电流驱动的磁性斯格明子二维运动,结合漂移方向分析与非厄米绝热微扰理论,证明低温绝热极限下平均速度可拓扑量子化为 Chern 数,并经自旋数值模拟验证。

摘要:

我们研究了由在空间和时间上均具有周期性的类棘轮极化电流驱动的磁性斯格明子的二维运动。文中考虑了若干一般情形;在每种情形下,在低温和绝热极限中,无论驱动电流的细节如何,沿任意方向的时间平均与统计平均速度都被拓扑量子化为一个 Chern 数乘以一个基本单位。我们采用了两种方法:一种基于识别漂移方向,另一种基于为 Fokker–Planck 算子发展的非厄米绝热微扰理论。两种方法均适用于沿驱动电流方向具有周期性、而在横向具有均匀性的情形;对于该情形,我们对组成自旋进行的数值模拟证实了解析结果,并提出了一项便于实施的实验。

英文摘要:

We study the two-dimensional motion of a magnetic skyrmion driven by a ratchetlike polarized electric current that is periodic in both space and time. Some general cases are considered, in each of which,in the low temperature and adiabatic limit, regardless of the details of the driving current, the time and statistical average velocity along any direction is topologically quantized as a Chern number, multiplied by a basic unit. We make two approaches, one based on identifying the drift direction, and the other based on the nonhermitian adiabatic perturbation theory developed for the Fokker-Planck operator. Both approach applies in the case of periodicity along the direction of the driving current and homogeneity in the transverse direction, for which the analytical result is confirmed by our numerical simulation on the constituent spins,and a convenient experiment is proposed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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