发表机构
Laboratory for Solid State Physics, ETH Zurich（苏黎世联邦理工学院固体物理实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过定义“标架的平行移动”工具，将Polyakov重正化群方法扩展到含非局域偶极相互作用的超薄铁磁平板，发现短波自旋波涨落产生两个局域各向异性，从而正确得到自旋重取向转变线的拓扑结构。
AI 中文摘要
1975年，Polyakov发明了一种用于处理经典各向同性平面海森堡铁磁体问题的重正化群算法。在此，我们定义了一个工具——“标架的平行移动”——它将Polyakov原始的重正化群方法扩展到局域磁各向异性，并且最重要的是，扩展到非局域偶极相互作用。我们将此工具应用于具有有限厚度的超薄铁磁平板中的自旋重取向转变问题。我们发现，积分掉短波长自旋波涨落会产生两个微观偶极能量哈密顿量中不存在的局域各向异性。考虑这些各向异性后，得到了自旋重取向转变线的正确拓扑结构，这与实验和数值模拟中观察到的结果一致。
英文摘要
In 1975, Polyakov invented a renormalization group algorithm for treating the problem of a classical isotropic planar Heisenberg ferromagnet. Here we define a tool - "parallel transport of frames" - that extends Polyakov's original renormalization group method to local magnetic anisotropies and, most significantly, the non-local dipolar interaction. We apply this tool to the problem of the spin reorientation transition in an ultrathin ferromagnetic slab with finite thickness. We find that integrating out the short wavelength spin wave fluctuations generates two local anisotropies that are absent from the microscopic dipolar energy Hamiltonian. Taking them into account yields the correct topology of the spin reorientation transition line, as observed experimentally and in numerical simulations.
Comments23 pages (main text 7 pages, 1 figure; Supplemental Material included, 16 pages, 1 figure). Submitted to Papers in Physics
